NONCONFORMING ANTI-SLICE BALL

Abstract
A non-conforming golf ball has a plurality of dimples formed on the outer surface of the ball in a predetermined dimple pattern, the outer surface comprising one or more first areas which include a plurality of first dimples which together have a first dimple volume and at least one second area having a dimple volume less that the first dimple volume, the first and second areas being configured to establish a preferred spin axis. The second area may be a band around the equator which has a lower dimple volume or no dimples, with the polar regions have a higher volume of dimples, creating a preferred spin axis through the poles.
Description
BACKGROUND

1. Field of the Invention


The embodiments described herein relate generally to golf balls and are specifically concerned with golf ball dimple patterns to create desired flight characteristics.


2. Related Art


Golf ball dimple pattern design has long been considered a critical factor in ball flight distance. A golf ball's velocity, launch angle, and spin rate is determined by the impact between the golf club and the golf ball, but the ball's trajectory after impact is controlled by gravity and aerodynamics of the ball. Dimples on a golf ball affect both drag and lift, which in turn determine how far the ball flies.


The aerodynamic forces acting on a golf ball during flight may be determined according to well-understood laws of physics. Scientists have created mathematical models so as to understand these laws and predict the flight of a golf ball. Using these models along with several readily determined values such as the golf ball's weight, diameter and lift and drag coefficients, scientists have been able to resolve these aerodynamic forces into the orthogonal components of lift and drag. The lift coefficient relates to the aerodynamic force component acting perpendicular to the path of the golf ball during flight while the drag coefficient relates to the aerodynamic force component acting parallel to the flight path. The lift and drag coefficients vary by golf ball design and are generally a function of the speed and spin rate of the golf ball and for the most part do not depend on the orientation of the golf ball on the tee for a spherically symmetrical or “conforming” golf ball.


The maximum height a golf ball achieves during flight is directly related to the lift generated by the ball, while the direction that the golf ball takes, specifically how straight a golf ball flies, is related to several factors, some of which include spin and spin axis orientation of the golf ball in relation to the golf ball's direction of flight. Further, the spin and spin axis are important in specifying the direction and magnitude of the lift force vector. The lift force vector is a major factor in controlling the golf ball flight path in the x, y and z directions. Additionally, the total lift force a golf ball generates during flight depends on several factors, including spin rate, velocity of the ball relative to the surrounding air and the surface characteristics of the golf ball. However, with respect to surface characteristics, not all the regions on the surface of a spinning golf ball contribute equally to the generation of the total lift force. As an example, if the surface of the ball has a spherically symmetrical dimple pattern and the ball is hit so that the spin axis passes through the poles, the surface region closest to the golf ball equator (i.e., the great circle orthogonal to the spin axis) is more important in generating lift than are the regions close to the poles. However, a golf ball that is not hit squarely off the tee will tend to drift off-line and disperse away from its intended trajectory. This is often the case with recreational golfers who impart a slice or a hook spin on the golf ball when striking the ball.


In order to overcome the drawbacks of a hook or a slice, some golf ball manufacturers have modified the construction of a golf ball in ways that tend to lower the spin rate. Some of these modifications include utilizing hard two-piece covers and using higher moment of inertia golf balls. Other manufacturers have resorted to modifying the ball surface to decrease the lift characteristics on the ball. These modifications include varying the dimple patterns in order to affect the lift and drag on the golf ball.


Some prior golf balls have been designed with non-conforming or non-symmetrical dimple patterns in an effort to offset the effect of imperfect hits, so that the unskilled golfer can hit a ball more consistently in a straighter path. Although such balls are not legal in professional golf, they are very helpful for the recreational golfer in making the game more fun. One such ball is described in U.S. Pat. No. 3,819,190 of Nepela et al. This ball is also known as a Polara™ golf ball, and has regions with different numbers of dimples or no dimples. A circumferential band extending around the spherical ball has a plurality of dimples, while polar areas on opposite sides of the band have few or no dimples. For this asymmetric golf ball, the measured lift and drag coefficients are strongly influenced by the orientation of the golf ball on the tee before it is struck. This is evidenced by the fact that the trajectory of the golf ball is strongly influenced by how the golf ball is oriented on the tee. For this ball to work properly, it must be placed on the tee with the poles of the ball oriented such that they are in the plane that is pointed in the intended direction of flight. In this orientation, the ball produces the lowest lift force and thus is less susceptible to hooking and slicing.


Other golf balls have been constructed of a single or multi-layer core, either solid or wound, that is tightly surrounded by a single or multilayer cover formed from polymeric materials, such as polyurethane, balata rubber, ionomers or a combination. Although some of these golf balls do reduce some hook and slice dispersion, this type of ball construction has the disadvantage of adding cost to the golf ball manufacturing process.


SUMMARY

Certain embodiments as disclosed herein provide for a golf ball having a dimple pattern which results in reduced hook and slice dispersion.


In one aspect, a golf ball is designed with a dimple pattern which has reduced or no dimple volume in a selected circumferential band around the ball and more dimple volume in other regions of the ball. This causes the ball to have a “preferred” spin axis because of the weight differences caused by locating different volume dimples in different areas across the ball. This in turn reduces the tendency for dispersion of the ball to the left or right (hooking and slicing) during flight. In one example, the circumferential band of lower dimple volume is around the equator with more dimple volume in the polar regions. This creates a preferred spin axis passing through the poles. In one embodiment, the dimple pattern is also designed to exhibit relatively low lift when the ball spins in the selected orientation around its preferred spin axis. This golf ball is nonconforming or non-symmetrical under United States Golf Association (USGA) rules.


A golf ball's preferred or selected spin axis may also be established by placing high and low density materials in specific locations within the core or intermediate layers of the golf ball, but has the disadvantage of adding cost and complexity to the golf ball manufacturing process.


Where a circumferential band of lower or zero dimple volume is provided about the equator and more dimple volume is provided in the polar regions, a ball is created which has a large enough moment of inertia (MOI) difference between the poles horizontal (PH) orientation and other orientations that the ball has a preferential spin axis going through the poles of the ball. The preferred spin axis extends through the lowest weight regions of the ball. If these are the polar regions, the preferred axis extends through the poles. If the ball is oriented on the tee so that the “preferred axis” or axis through the poles is pointing up and down (pole over pole or POP orientation), it is less effective in correcting hooks and slices compared to being oriented in the PH orientation when struck.


In another aspect, the ball may have no dimples in a band about the equator (a land area) and deep dimples in the polar regions. The dimpleless region may be narrow, like a wide seam, or may be wider, i.e. equivalent to removing two or more rows of dimples next to the equator.


By creating a golf ball with a dimple pattern that has less dimple volume in a band around the equator and by removing more dimple volume from the polar regions adjacent to the low-dimple-volume band, a ball can be created with a large enough moment of inertia (MOI) difference between the poles-horizontal (PH) and other orientations that the ball has a “preferred” spin axis going through the poles of the ball and this preferred spin axis tends to reduce or prevent hooking or slicing when a golfer hits the ball in a manner which would generate other than pure backspin on a normal symmetrically designed golf ball. In other words, when this ball is hit in manner which would normally cause hooking or slicing in a symmetrical or conforming ball, the ball tends to rotate about the selected spin axis and thus not hook or slice as much as a symmetrical ball with no selected or “preferred” spin axis. In one embodiment, the dimple pattern is designed so that it generates relatively low lift when rotating in the PH orientation. The resulting golf ball displays enhanced hook and slice correcting characteristics.


The low volume dimples do not have to be located in a continuous band around the ball's equator. The low volume dimples could be interspersed with higher volume dimples, the band could be wider in some parts than others, the area in which the low volume dimples are located could have more land area (lack of dimples) than in other areas of the ball. The high volume dimples located in the polar regions could also be inter-dispersed with lower volume dimples; and the polar regions could be wider in some spots than others. The main idea is to create a higher moment of inertia for the ball when it is rotating in one configuration and to do this by manipulating the volume of the dimples across the surface of the ball. This difference in MOI then causes the ball to have a preferred spin axis. The golf ball is then placed on the tee so that the preferred spin axis is oriented approximately horizontally so that when the ball is hit with a hook or slice action, the ball tends to rotate about the horizontal spin axis and thus not hook or slice as much as a symmetrical ball with no preferred spin axis would hook or slice. In some embodiments, the preferred spin axis is the PH orientation.


Another way to create the preferred spin axis would be to place two or more regions of lower volume or zero volume regions on the ball's surface and make the regions somewhat co-planar so that they create a preferred spin axis. For example, if two areas of lower volume dimples were placed opposite each other on the ball, then a dumbbell-type weight distribution would exist. In this case, the ball has a preferred spin axis equal to the orientation of the ball when it is rotating end-over-end with the “dumbbell areas”.


The ball can also be oriented on the tee with the preferred spin axis tilted up to about 45 degrees to the right and then the ball still resists slicing, but does not resist hooking. If the ball is tilted 45 degrees to the left it reduces or prevents hook dispersion, but not slice dispersion. This may be helpful for untrained golfers who tend to hook or slice a ball. When the ball is oriented so that the preferred axis is pointing up and down on the tee (POP orientation for a preferred spin axis in the PH orientation), the ball is much less effective in correcting hooks and slices compared to being oriented in the PH orientation.


Other features and advantages will become more readily apparent to those of ordinary skill in the art after reviewing the following detailed description and accompanying drawings.





BRIEF DESCRIPTION OF THE DRAWINGS

The details of the present embodiments, both as to structure and operation, may be gleaned in part by study of the accompanying drawings, in which like reference numerals refer to like parts, and in which:



FIG. 1 is a perspective view of one hemisphere of a first embodiment of a golf ball cut in half through the equator, illustrating a first dimple pattern designed to create a preferred spin axis, the opposite hemisphere having an identical dimple pattern;



FIG. 2 is a perspective view similar to FIG. 1 illustrating a second embodiment of a golf ball with a second, different dimple pattern;



FIG. 3 is a perspective view illustrating one hemisphere of a compression molding cavity for making a third embodiment of a golf ball with a third dimple pattern;



FIG. 4 is a perspective view similar to FIGS. 1 and 2 illustrating a fourth embodiment of a golf ball with a fourth dimple pattern;



FIG. 5 is a perspective view similar to FIGS. 1, 2 and 4 illustrating a fifth embodiment of a golf ball with a fifth dimple pattern;



FIG. 6 is a perspective view similar to FIGS. 1, 2, 4 and 5 illustrating a sixth embodiment of a golf ball having a different dimple pattern;



FIG. 7 is a perspective view similar to FIGS. 1, 2, and 4 to 6 illustrating a seventh embodiment of a golf ball having a different dimple pattern;



FIG. 8 is perspective view similar to FIG. 1 but illustrating a modified dimple pattern with some rows of dimples around the equator removed;



FIG. 9 is a diagram illustrating the relationship between the chord depth of a truncated and a spherical dimple in the embodiments of FIGS. 1 to 7;



FIG. 10 is a graph illustrating the average carry and total dispersion versus the moment of inertia (MOI) difference between the minimum and maximum orientations for balls having each of the dimple patterns of FIGS. 1 to 7, and a modified version of the pattern of FIG. 1, compared with a ball having the dimple pattern of the known non-conforming Polara™ ball and the known TopFlite XL straight ball;



FIG. 11 is a graph illustrating the average carry and total distance versus MOI difference between the minimum and maximum orientations for the same balls as in FIG. 10;



FIG. 12 is a graph illustrating the top view of the flights of the golf balls of FIGS. 1, 2 and 3 and several known balls in a robot slice shot test, illustrating the dispersion of each ball with distance downrange;



FIG. 13 is a side view of the flight paths of FIG. 12, illustrating the maximum height of each ball;



FIGS. 14 to 17 illustrate the lift and drag coefficients versus Reynolds number for the same balls which are the subject of the graphs in FIGS. 12 and 13, at spin rates of 3,500 and 4,500, respectively, for different ball orientations; and



FIG. 18 is a diagram illustrating a golf ball configured in accordance with another embodiment.





DETAILED DESCRIPTION

After reading this description it will become apparent to one skilled in the art how to implement the embodiments in various alternative implementations and alternative applications. Further, although various embodiments will be described herein, it is understood that these embodiments are presented by way of example only, and not limitation. As such, this detailed description of various alternative embodiments should not be construed to limit the scope or breadth of the appended claims.



FIGS. 1 to 8 illustrate several embodiments of non-conforming or non-symmetrical balls having different dimple patterns, as described in more detail below. In each case, one hemisphere of the ball (or of a mold cavity for making the ball in FIG. 3) cut in half through the equator is illustrated, with the other hemisphere having an identical dimple pattern to the illustrated hemisphere. In each embodiment, the dimples are of greater total volume in a first area or areas, and of less volume in a second area. In the illustrated embodiment, the first areas, which are of greater dimple volume, are in the polar regions of the ball while the second area is a band around the equator, designed to produce a preferred spin axis through the poles of the ball, due to the larger weight around the equatorial band, which has a lower dimple volume, i.e. lower volume of material removed from the ball surface. Other embodiments may have the reduced volume dimple regions located in different regions of the ball, as long as the dimple pattern is designed to impart a preferred spin axis to the ball, such that hook and slice dispersion is reduced when a ball is struck with the spin axis in a horizontal orientation (PH when the spin axis extends through the poles).


In the embodiments of FIGS. 1-8, the preferred spin axis goes through the poles of the ball. It will be understood that the design of FIGS. 1-8 can be said to then have a gyroscopic center plane orthogonal to the preferred spin axis, i.e., that goes through and is parallel with the equatorial band. Thus, the designs of FIGS. 1-8 can be said to have a region of lower volume dimples around the gyroscopic center plane. It should also be recognized that in these embodiments, the gyroscopic center plane does not go through all regions, i.e., it does not go through the regions with greater dimple volume.


It should also be understood that the terms equator or equatorial region and poles can be defined with respect to the gyroscopic center plane. In other words, the equator is in the gyroscopic center plane and the preferred spin axis goes through the poles.


In fact it has been determined that making dimples more shallow within the region inside the approximately 45 degree point 1803 on the circumference of the ball 10 with respect to the gyroscopic center plane 1801, as illustrated in FIG. 18, further increases the MOI difference between the ball rotating in the PH and pole-over-pole (POP) orientations as described below. Conversely, making dimples deeper inside of the approximately 45 degree point 1803 decreases the MOI difference between the ball rotating in the PH and pole-over-pole (POP) orientations. For reference, the preferred spin axis 1802 is also illustrated in FIG. 18.



FIG. 1 illustrates one hemisphere of a first embodiment of a non-conforming or non-symmetrical golf ball 10 having a first dimple pattern, hereinafter referred to as dimple pattern design 28-1, or “28-1 ball”. The dimple pattern is designed to create a difference in moment of inertia (MOI) between poles horizontal (PH) and other orientations. The dimple pattern of the 28-1 ball has three rows of shallow truncated dimples 12 around the ball's equator, in each hemisphere, so the ball has a total of six rows of shallow truncated dimples. The polar region has a first set of generally larger, deep spherical dimples 14 and a second set of generally smaller, deep spherical dimples 15, which are dispersed between the larger spherical dimples 14. There are no smaller dimples 15 in the two rows of the larger spherical dimples closest to the band of shallow truncated dimples 12. This arrangement removes more weight from the polar areas of the ball and thus further increases the MOI difference between the ball rotating in the PH and pole-over-pole (POP) orientations.


Shown in Table 1 below are the dimple radius, depth and dimple location information for making a hemispherical injection molding cavity to produce the dimple pattern 28-1 on one hemisphere of the ball, with the other injection molding cavity being identical. As illustrated in Table 1, the ball has a total of 410 dimples (205 in each hemisphere of the ball). The truncated dimples 12 are each of the same radius and truncated chord depth, while the larger and smaller spherical dimples are each of three different sizes (Smaller dimples 1, 2 and 3 and larger dimples 5, 6, 7 in Table 1). Table 1 illustrates the locations of the truncated dimples and each of the different size spherical dimples on one hemisphere of the ball,









TABLE 1





Dimple Pattern Design# = 28-1


Molding cavity internal diameter = 1.692″


Total number of dimples on ball = 410


















Dimple # 1
Dimple # 2
Dimple # 3
Dimple # 4


Type spherical
Type spherical
Type spherical
Type truncated


Radius 0.0300
Radius 0.0350
Radius 0.0400
Radius 0.0670


SCD 0.0080
SCD 0.0080
SCD 0.0080
SCD 0.0121


TCD —
TCD —
TCD —
TCD 0.0039


















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
0
31.89226
1
0
15.8163
1
0
0
1
0
62.0690668


2
90
31.89226
2
17.723349
24.95272
2
45
11.141573
2
0
84.1


3
180
31.89226
3
25.269266
35.26266
3
45
22.380098
3
5.65
73.3833254


4
270
31.89226
4
64.730734
35.26266
4
45
33.669653
4
11.26
84.1





5
72.276651
24.95272
5
135
11.141573
5
13.34
62.0690668





6
90
15.8163
6
135
22.380098
6
16.83
73.3833254





7
107.72335
24.95272
7
135
33.669653
7
22.66
84.1





8
115.26927
35.26266
8
225
11.141573
8
26.32
62.8658456





9
154.73073
35.26266
9
225
22.380098
9
27.98
73.3833254





10
162.27665
24.95272
10
225
33.669653
10
33.82
84.1





11
180
15.8163
11
315
11.141573
11
38.44
61.760315





12
197.72335
24.95272
12
315
22.380098
12
39.02
73.3833254





13
205.26927
35.26266
13
315
33.669653
13
45
84.1





14
244.73073
35.26266



14
50.98
73.3833254





15
252.27665
24.95272



15
51.56
61.760315





16
270
15.8163



16
56.18
84.1





17
287.72335
24.95272



17
62.02
73.3833254





18
295.26927
35.26266



18
63.68
62.8658456





19
334.73073
35.26266



19
67.34
84.1





20
342.27665
24.95272



20
73.17
73.3833254











21
76.66
62.0690668











22
78.74
84.1











23
84.35
73.3833254











24
90
62.0690668











25
90
84.1











26
95.65
73.3833254











27
101.26
84.1











28
103.34
62.0690668











29
106.83
73.3833254











30
112.66
84.1











31
116.32
62.8658456











32
117.98
73.3833254











33
123.82
84.1











34
128.44
61.760315











35
129.02
73.3833254











36
135
84.1











37
140.98
73.3833254











38
141.56
61.760315











39
146.18
84.1











40
152.02
73.3833254











41
153.68
62.8658456











42
157.34
84.1











43
163.17
73.3833254











44
166.66
62.0690668











45
168.74
84.1











46
174.35
73.3833254











47
180
62.0690668











48
180
84.1











49
185.65
73.3833254











50
191.26
84.1











51
193.34
62.0690668











52
196.83
73.3833254











53
202.66
84.1











54
206.32
62.8658456











55
207.98
73.3833254











56
213.82
84.1











57
218.44
61.760315











58
219.02
73.3833254











59
225
84.1











60
230.98
73.3833254











61
231.56
61.760315











62
236.18
84.1











63
242.02
73.3833254











64
243.68
62.8658456











65
247.34
84.1











66
253.17
73.3833254











67
256.66
62.0690668











68
258.74
84.1











69
264.35
73.3833254











70
270
62.0690668











71
270
84.1











72
275.65
73.3833254











73
281.26
84.1











74
283.34
62.0690668











75
286.83
73.3833254











76
292.66
84.1











77
296.32
62.8658456











78
297.98
73.3833254











79
303.82
84.1











80
308.44
61.760315











81
309.02
73.3833254











82
315
84.1











83
320.98
73.3833254











84
321.56
61.760315











85
326.18
84.1











86
332.02
73.3833254











87
333.68
62.8658456











88
337.34
84.1











89
343.17
73.3833254











90
346.66
62.0690668











91
348.74
84.1











92
354.35
73.3833254












Dimple # 5
Dimple # 6
Dimple # 7


Type spherical
Type spherical
Type spherical


Radius 0.0670
Radius 0.0725
Radius 0.0750


SCD 0.0121
SCD 0.0121
SCD 0.0121


TCD —
TCD —
TCD —















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
12.73
32.21974
1
0
7.87815
1
8.38
51.07352


2
77.27
32.21974
2
0
23.47509
2
23.8
52.408124


3
102.73
32.21974
3
0
40.93451
3
66.2
52.408124


4
167.27
32.21974
4
19.68
42.05
4
81.62
51.07352


5
192.73
32.21974
5
25.81
17.61877
5
98.38
51.07352


6
257.27
32.21974
6
32.87
28.60436
6
113.8
52.408124


7
282.73
32.21974
7
35.9
39.62978
7
156.2
52.408124


8
347.27
32.21974
8
37.5
50.62533
8
171.62
51.07352





9
52.5
50.62533
9
188.38
51.07352





10
54.1
39.62978
10
203.8
52.408124





11
57.13
28.60436
11
246.2
52.408124





12
64.19
17.61877
12
261.62
51.07352





13
70.32
42.05
13
278.38
51.07352





14
90
7.87815
14
293.8
52.408124





15
90
23.47509
15
336.2
52.408124





16
90
40.93451
16
351.62
51.07352





17
109.68
42.05





18
115.81
17.61877





19
122.87
28.60436





20
125.9
39.62978





21
127.5
50.62533





22
142.5
50.62533





23
144.1
39.62978





24
147.13
28.60436





25
154.19
17.61877





26
160.32
42.05





27
180
7.87815





28
180
23.47509





29
180
40.93451





30
199.68
42.05





31
205.81
17.61877





32
212.87
28.60436





33
215.9
39.62978





34
217.5
50.62533





35
232.5
50.62533





36
234.1
39.62978





37
237.13
28.60436





38
244.19
17.61877





39
250.32
42.05





40
270
7.87815





41
270
23.47509





42
270
40.93451





43
289.68
42.05





44
295.81
17.61877





45
302.87
28.60436





46
305.9
39.62978





47
307.5
50.62533





48
322.5
50.62533





49
324.1
39.62978





50
327.13
28.60436





51
334.19
17.61877





52
340.32
42.05









As seen in FIG. 1 and Table 1, the first, larger set of spherical dimples 14 include dimples of three different radii, specifically 8 dimples of a first, smaller radius (0.067 inches), 52 dimples of a second, larger radius (0.0725 inches) and 16 dimples of a third, largest radius (0.075 inches). Thus, there are a total of 76 larger spherical dimples 14 in each hemisphere of ball 10. The second, smaller set of spherical dimples, which are arranged between the larger dimples in a region closer to the pole, are also in three slightly different sizes from approximately 0.03 inches to approximately 0.04 inches, and one hemisphere of the ball includes 37 smaller spherical dimples. The truncated dimples are all of the same size and have a radius of 0.067 inches (the same as the smallest spherical dimples of the first set) and a truncated chord depth of 0.0039 inches. There are 92 truncated dimples in one hemisphere of the ball. All of the spherical dimples 14 have the same spherical chord depth of 0.0121 inches, while the smaller spherical dimples 15 have a spherical chord depth of 0.008 inches. Thus, the truncated chord depth of the truncated dimples is significantly less than the spherical chord depth of the spherical dimples, and is about one third of the depth of the larger spherical dimples 14, and about one half the depth of the smaller dimples 15.


With this dimple arrangement, significantly more material is removed from the polar regions of the ball to create the larger, deeper spherical dimples, and less material is removed to create the band of shallower, truncated dimples around the equator. In testing described in more detail below, the 28-1 dimple pattern of FIG. 1 and Table 1 was found to have a preferred spin axis through the poles, as expected, so that dispersion is reduced if the ball is placed on the tee in a poles horizontal (PH) orientation. This ball was also found to generate relatively low lift when the ball spins about the preferred spin axis.



FIG. 2 illustrates one hemisphere of a second embodiment of a ball 16 having a different dimple pattern, hereinafter referred to as 25-1, which has three rows of shallow truncated dimples 18 around the ball's equator in each hemisphere and deep spherical dimples 20 in the polar region of the ball. The deep dimples closest to the pole also have smaller dimples 22 dispersed between the larger dimples. The overall dimple pattern in FIG. 2 is similar to that of FIG. 1, but the total number of dimples is less (386). Ball 16 has the same number of truncated dimples as ball 10, but has fewer spherical dimples of less volume than the spherical dimples of ball 10 (see Table 2 below). Each hemisphere of ball 16 has 92 truncated dimples and 101 spherical dimples 20 and 22. The main difference between patterns 28-1 and 25-1 is that the 28-1 ball of FIG. 1 has more weight removed from the polar regions because the small dimples between deep dimples are larger in number and volume for dimple pattern 28-1 compared to 25-1, and the larger, deeper dimples are also of generally larger size for dimple pattern 28-1 than the larger spherical dimples in the 25-1 dimple pattern. The larger spherical dimples 20 in the ball 16 are all of the same size, which is equal to the smallest large dimple size in the 28-1 ball. The truncated dimples in FIG. 2 are of the same size as the truncated dimples in FIG. 1, and the truncated dimple radius is the same as the radius of the larger spherical dimples 20.


Shown in Table 2 are the dimple radius, depth and dimple location information for making an injection molding cavity to produce the dimple pattern 25-1 of FIG. 2.









TABLE 2





Dimple Pattern Design# = 25-1


Molding cavity internal diameter = 1.694″


Total number of dimples on ball = 386


















Dimple # 1
Dimple # 2
Dimple # 3
Dimple # 4


Type spherical
Type spherical
Type truncated
Type spherical


Radius 0.0300
Radius 0.0350
Radius 0.0670
Radius 0.0670


SCD 0.0080
SCD 0.0080
SCD 0.0121
SCD 0.0121


TCD —
TCD —
TCD 0.0039
TCD —


















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
0
32.02119
1
0
0
1
0
62.32
1
0
7.91


2
90
32.02119
2
0
15.88024
2
0
84.44
2
0
23.57


3
180
32.02119
3
17.72335
25.0536
3
5.65
73.68
3
0
41.1


4
270
32.02119
4
45
11.18662
4
11.26
84.44
4
8.38
51.28





5
45
22.47058
5
13.34
62.32
5
12.73
32.35





6
72.27665
25.0536
6
16.83
73.68
6
19.68
42.22





7
90
15.88024
7
22.66
84.44
7
23.8
52.62





8
107.7233
25.0536
8
26.32
63.12
8
25.81
17.69





9
135
11.18662
9
27.98
73.68
9
32.87
28.72





10
135
22.47058
10
33.82
84.44
10
35.9
39.79





11
162.2767
25.0536
11
38.44
62.01
11
37.5
50.83





12
180
15.88024
12
39.02
73.68
12
52.5
50.83





13
197.7233
25.0536
13
45
84.44
13
54.1
39.79





14
225
11.18662
14
50.98
73.68
14
57.13
28.72





15
225
22.47058
15
51.56
62.01
15
64.19
17.69





16
252.2767
25.0536
16
56.18
84.44
16
66.2
52.62





17
270
15.88024
17
62.02
73.68
17
70.32
42.22





18
287.7233
25.0536
18
63.68
63.12
18
77.27
32.35





19
315
11.18662
19
67.58
84.44
19
81.62
51.28





20
315
22.47058
20
73.17
73.68
20
90
7.91





21
342.2767
25.0536
21
76.66
62.32
21
90
23.57








22
78.84
84.44
22
90
41.1








23
84.35
73.68
23
98.38
51.28








24
90
62.32
24
102.73
32.35








25
90
84.44
25
109.68
42.22








26
95.65
73.68
26
113.8
52.62








27
101.26
84.44
27
115.81
17.69








28
103.34
62.32
28
122.87
28.72








29
106.83
73.68
29
125.9
39.79








30
112.66
84.44
30
127.5
50.83








31
116.32
63.12
31
142.5
50.83








32
117.98
73.68
32
144.1
39.79








33
123.82
84.44
33
147.13
28.72








34
128.44
62.01
34
154.19
17.69








35
129.02
73.68
35
156.2
52.62








36
135
84.44
36
160.32
42.22








37
140.98
73.68
37
167.27
32.35








38
141.56
62.01
38
171.62
51.28








39
146.18
84.44
39
180
7.91








40
152.02
73.68
40
180
23.57








41
153.68
63.12
41
180
41.1








42
157.58
84.44
42
188.38
51.28








43
163.17
73.68
43
192.73
32.35








44
166.66
62.32
44
199.68
42.22








45
168.84
84.44
45
203.8
52.62








46
174.35
73.68
46
205.81
17.69








47
180
84.44
47
212.87
28.72








48
180
62.32
48
215.9
39.79








49
185.65
73.68
49
217.5
50.83








50
191.26
84.44
50
232.5
50.83








51
193.34
62.32
51
234.1
39.79








52
196.83
73.68
52
237.13
28.72








53
202.66
84.44
53
244.19
17.69








54
206.32
63.12
54
246.2
52.62








55
207.98
73.68
55
250.32
42.22








56
213.82
84.44
56
257.27
32.35








57
218.44
62.01
57
261.62
51.28








58
219.02
73.68
58
270
7.91








59
225
84.44
59
270
23.57








60
230.98
73.68
60
270
41.1








61
231.56
62.01
61
278.38
51.28








62
236.18
84.44
62
282.73
32.35








63
242.02
73.68
63
289.68
42.22








64
243.68
63.12
64
293.8
52.62








65
247.58
84.44
65
295.81
17.69








66
253.17
73.68
66
302.87
28.72








67
256.66
62.32
67
305.9
39.79








68
258.84
84.44
68
307.5
50.83








69
264.35
73.68
69
322.5
50.83








70
270
62.32
70
324.1
39.79








71
270
84.44
71
327.13
28.72








72
275.65
73.68
72
334.19
17.69








73
281.26
84.44
73
336.2
52.62








74
283.34
62.32
74
340.32
42.22








75
286.83
73.68
75
347.27
32.35








76
292.66
84.44
76
351.62
51.28








77
296.32
63.12








78
297.98
73.68








79
303.82
84.44








80
308.44
62.01








81
309.02
73.68








82
315
84.44








83
320.98
73.68








84
321.56
62.01








85
326.18
84.44








86
332.02
73.68








87
333.68
63.12








88
337.58
84.44








89
343.17
73.68








90
346.66
62.32








91
348.84
84.44








92
354.35
73.68









As indicated in Table 2, ball 25-1 has only two different size smaller spherical dimples 22 in the polar region (dimples 1 and 2 which are the same size as dimples 1 and 2 of the 28-1 ball), and only one size larger spherical dimple 20, i.e. dimple 4 which is the same size as dimple 5 of the 28-1 ball. Thus, the 28-1 ball has some spherical dimples, specifically dimples 6 and 7 in Table 1, which are of larger diameter than any of the spherical dimples 20 of the 25-1 ball.



FIG. 3 illustrates a mold 23 having one hemisphere of a compression molding cavity 24 designed for making a third embodiment of a ball having a different dimple pattern, identified as dimple pattern or ball 2-9. The cavity 24 has three rows of raised, flattened bumps 25 designed to form three rows of shallow, truncated dimples around the ball's equator, and a polar region having raised, generally hemispherical bumps 26 designed to form deep, spherical dimples in the polar region of a ball. The resultant dimple pattern has three rows of shallow truncated dimples around the ball's equator and deep spherical dimples 2 in the polar region of the ball in each hemisphere of the ball. As illustrated in FIG. 3 and shown in Table 3 below, there is only one size of truncated dimple and one size of spherical dimple in the 2-9 dimple pattern. The truncated dimples are identified as dimple #1 in Table 3 below, and the spherical dimples are identified as dimple #2 in Table 3. The 2-9 ball has a total of 336 dimples, with 92 truncated dimples of the same size as the truncated dimples of the 28-1 and 25-1 balls, and 76 deep spherical dimples which are all the same size as the large spherical dimples of the 25-1 ball. Thus, about the same dimple volume is removed around the equator in balls 28-1, 25-1 and 2-9, but more dimple volume is removed in the polar region in ball 28-1 than in balls 25-1 and 2-9, and ball 2-9 has less volume removed in the polar regions than balls 28-1 and 25-1.


It will be understood that a similar type of mold, or set of molds, is used for all of the embodiments described herein, and that mold 23 is shown by way of example only.









TABLE 3







Dimple Pattern Design# 2-9


Molding cavity internal diameter = 1.694″


Total number of dimples on ball = 336










Dimple # 1
Dimple # 2



Type truncated
Type spherical



Radius 0.0670
Radius 0.0670



SCD 0.0121
SCD 0.0121



TCD 0.0039
TCD —














#
Phi
Theta
#
Phi
Theta


















1
0
62.32
1
0
7.91



2
5.58
84.44
2
0
23.57



3
5.65
73.68
3
0
41.1



4
13.34
62.32
4
8.38
51.28



5
16.83
73.68
5
12.73
32.35



6
16.84
84.44
6
19.68
42.22



7
26.32
63.12
7
23.8
52.62



8
27.98
73.68
8
25.81
17.69



9
28.24
84.44
9
32.87
28.72



10
38.44
62.01
10
35.9
39.79



11
39.02
73.68
11
37.5
50.83



12
39.4
84.44
12
52.5
50.83



13
50.6
84.44
13
54.1
39.79



14
50.98
73.68
14
57.13
28.72



15
51.56
62.01
15
64.19
17.69



16
61.76
84.44
16
66.2
52.62



17
62.02
73.68
17
70.32
42.22



18
63.68
63.12
18
77.27
32.35



19
73.16
84.44
19
81.62
51.28



20
73.17
73.68
20
90
7.91



21
76.66
62.32
21
90
23.57



22
84.35
73.68
22
90
41.1



23
84.42
84.44
23
98.38
51.28



24
90
62.32
24
102.73
32.35



25
95.58
84.44
25
109.68
42.22



26
95.65
73.68
26
113.8
52.62



27
103.34
62.32
27
115.81
17.69



28
106.83
73.68
28
122.87
28.72



29
106.84
84.44
29
125.9
39.79



30
116.32
63.12
30
127.5
50.83



31
117.98
73.68
31
142.5
50.83



32
118.24
84.44
32
144.1
39.79



33
128.44
62.01
33
147.13
28.72



34
129.02
73.68
34
154.19
17.69



35
129.4
84.44
35
156.2
52.62



36
140.6
84.44
36
160.32
42.22



37
140.98
73.68
37
167.27
32.35



38
141.56
62.01
38
171.62
51.28



39
151.76
84.44
39
180
7.91



40
152.02
73.68
40
180
23.57



41
153.68
63.12
41
180
41.1



42
163.16
84.44
42
188.38
51.28



43
163.17
73.68
43
192.73
32.35



44
166.66
62.32
44
199.68
42.22



45
174.35
73.68
45
203.8
52.62



46
174.42
84.44
46
205.81
17.69



47
180
62.32
47
212.87
28.72



48
185.58
84.44
48
215.9
39.79



49
185.65
73.68
49
217.5
50.83



50
193.34
62.32
50
232.5
50.83



51
196.83
73.68
51
234.1
39.79



52
196.84
84.44
52
237.13
28.72



53
206.32
63.12
53
244.19
17.69



54
207.98
73.68
54
246.2
52.62



55
208.24
84.44
55
250.32
42.22



56
218.44
62.01
56
257.27
32.35



57
219.02
73.68
57
261.62
51.28



58
219.4
84.44
58
270
7.91



59
230.6
84.44
59
270
23.57



60
230.98
73.68
60
270
41.1



61
231.56
62.01
61
278.38
51.28



62
241.76
84.44
62
282.73
32.35



63
242.02
73.68
63
289.68
42.22



64
243.68
63.12
64
293.8
52.62



65
253.16
84.44
65
295.81
17.69



66
253.17
73.68
66
302.87
28.72



67
256.66
62.32
67
305.9
39.79



68
264.35
73.68
68
307.5
50.83



69
264.42
84.44
69
322.5
50.83



70
270
62.32
70
324.1
39.79



71
275.58
84.44
71
327.13
28.72



72
275.65
73.68
72
334.19
17.69



73
283.34
62.32
73
336.2
52.62



74
286.83
73.68
74
340.32
42.22



75
286.84
84.44
75
347.27
32.35



76
296.32
63.12
76
351.62
51.28



77
297.98
73.68



78
298.24
84.44



79
308.44
62.01



80
309.02
73.68



81
309.4
84.44



82
320.6
84.44



83
320.98
73.68



84
321.56
62.01



85
331.76
84.44



86
332.02
73.68



87
333.68
63.12



88
343.16
84.44



89
343.17
73.68



90
346.66
62.32



91
354.35
73.68



92
354.42
84.44










Table 4 below lists dimple shapes, dimensions, and coordinates or locations on a ball for a dimple pattern 28-2 which is very similar to the dimple pattern 28-1 and is therefore not shown separately in the drawings. The ball with dimple pattern 28-2 has three larger spherical dimples of different dimensions, numbered 5, 6 and 7 in Table 4, and three smaller spherical dimples of different dimensions, numbered 1, 2 and 3, and the dimensions of these dimples are identical to the corresponding dimples of the 28-1 ball in Table 1, as are the dimensions of truncated dimples numbered 4 in Table 4. The dimple pattern 28-2 is nearly identical to dimple pattern 28-1, except that the seam that separates the two hemispheres of the ball is wider in the 28-2 ball, and the coordinates of some of the dimples are slightly different, as can be determined by comparing Tables 1 and 4.


The dimple coordinates for pattern 28-2 are shown in table 4 below.









TABLE 4





Dimple Pattern Design# 28-2


Molding cavity internal diameter = 1.692″


Total number of dimples on ball = 410

















Dimple # 1
Dimple # 2
Dimple # 3


Type spherical
Type spherical
Type spherical


Radius 0.0300
Radius 0.0350
Radius 0.0400


SCD 0.0080
SCD 0.0080
SCD 0.0080


TCD —
TCD —
TCD —















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
0
31.8922591
1
0
15.816302
1
0
0


2
90
31.8922591
2
17.723349
24.952723
2
45
11.14157


3
180
31.8922591
3
25.269266
35.262662
3
45
22.3801


4
270
31.8922591
4
64.730734
35.262662
4
45
33.66965





5
72.276651
24.952723
5
135
11.14157





6
90
15.816302
6
135
22.3801





7
107.72335
24.952723
7
135
33.66965





8
115.26927
35.262662
8
225
11.14157





9
154.73073
35.262662
9
225
22.3801





10
162.27665
24.952723
10
225
33.66965





11
180
15.816302
11
315
11.14157





12
197.72335
24.952723
12
315
22.3801





13
205.26927
35.262662
13
315
33.66965





14
244.73073
35.262662





15
252.27665
24.952723





16
270
15.816302





17
287.72335
24.952723





18
295.26927
35.262662





19
334.73073
35.262662





20
342.27665
24.952723












Dimple # 5
Dimple # 6
Dimple # 7


Type spherical
Type spherical
Type spherical


Radius 0.0670
Radius 0.0725
Radius 0.0750


SCD 0.0121
SCD 0.0121
SCD 0.0121


TCD —
TCD —
TCD —















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
12.73
32.2197418
1
0
7.8781502
1
8.38
51.07352


2
77.27
32.2197418
2
0
23.475095
2
23.8
52.40812


3
102.73
32.2197418
3
0
40.93451
3
66.2
52.40812


4
167.27
32.2197418
4
19.68
42.05
4
81.62
51.07352


5
192.73
32.2197418
5
25.81
17.618771
5
98.38
51.07352


6
257.27
32.2197418
6
32.87
28.604358
6
113.8
52.40812


7
282.73
32.2197418
7
35.9
39.629784
7
156.2
52.40812


8
347.27
32.2197418
8
37.5
50.625332
8
171.62
51.07352





9
52.5
50.625332
9
188.38
51.07352





10
54.1
39.629784
10
203.8
52.40812





11
57.13
28.604358
11
246.2
52.40812





12
64.19
17.618771
12
261.62
51.07352





13
70.32
42.05
13
278.38
51.07352





14
90
7.8781502
14
293.8
52.40812





15
90
23.475095
15
336.2
52.40812





16
90
40.93451
16
351.62
51.07352












Dimple # 4
Dimple # 4
Dimple # 6


Type truncated
Type truncated
Type spherical


Radius 0.0670
Radius 0.0670
Radius 0.0725


SCD 0.0121
SCD 0.0121
SCD 0.0121


TCD 0.0039
TCD 0.0039
TCD —















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
0
62.06907
45
44
106.0691
17
109.68
42.05


2
1
63.06907
46
45
107.0691
18
115.81
17.61877


3
2
64.06907
47
46
108.0691
19
122.87
28.60436


4
3
65.06907
48
47
109.0691
20
125.9
39.62978


5
4
66.06907
49
48
110.0691
21
127.5
50.62533


6
5
67.06907
50
49
111.0691
22
142.5
50.62533


7
6
68.06907
51
50
112.0691
23
144.1
39.62978


8
7
69.06907
52
51
113.0691
24
147.13
28.60436


9
8
70.06907
53
52
114.0691
25
154.19
17.61877


10
9
71.06907
54
53
115.0691
26
160.32
42.05


11
10
72.06907
55
54
116.0691
27
180
7.87815


12
11
73.06907
56
55
117.0691
28
180
23.47509


13
12
74.06907
57
56
118.0691
29
180
40.93451


14
13
75.06907
58
57
119.0691
30
199.68
42.05


15
14
76.06907
59
58
120.0691
31
205.81
17.61877


16
15
77.06907
60
59
121.0691
32
212.87
28.60436


17
16
78.06907
61
60
122.0691
33
215.9
39.62978


18
17
79.06907
62
61
123.0691
34
217.5
50.62533


19
18
80.06907
63
62
124.0691
35
232.5
50.62533


20
19
81.06907
64
63
125.0691
36
234.1
39.62978


21
20
82.06907
65
64
126.0691
37
237.13
28.60436


22
21
83.06907
66
65
127.0691
38
244.19
17.61877


23
22
84.06907
67
66
128.0691
39
250.32
42.05


24
23
85.06907
68
67
129.0691
40
270
7.87815


25
24
86.06907
69
68
130.0691
41
270
23.47509


26
25
87.06907
70
69
131.0691
42
270
40.93451


27
26
88.06907
71
70
132.0691
43
289.68
42.05


28
27
89.06907
72
71
133.0691
44
295.81
17.61877


29
28
90.06907
73
72
134.0691
45
302.87
28.60436


30
29
91.06907
74
73
135.0691
46
305.9
39.62978


31
30
92.06907
75
74
136.0691
47
307.5
50.62533


32
31
93.06907
76
75
137.0691
48
322.5
50.62533


33
32
94.06907
77
76
138.0691
49
324.1
39.62978


34
33
95.06907
78
77
139.0691
50
327.13
28.60436


35
34
96.06907
79
78
140.0691
51
334.19
17.61877


36
35
97.06907
80
79
141.0691
52
340.32
42.05


37
36
98.06907
81
80
142.0691


38
37
99.06907
82
81
143.0691


39
38
100.0691
83
82
144.0691


40
39
101.0691
84
83
145.0691


41
40
102.0691
85
84
146.0691


42
41
103.0691
86
85
147.0691


43
42
104.0691
87
86
148.0691


44
43
105.0691
88
87
149.0691





89
88
150.0691





90
89
151.0691





91
90
152.0691





92
91
153.0691










FIGS. 4 to 6 illustrate hemispheres of three different balls 30, 40 and 50 with different dimple patterns. The dimple patterns on balls 30, 40 and 50 are hereinafter referred to as dimple patterns 25-2, 25-3, and 25-4. Dimple patterns 25-2, 25-3 and 25-4 are related in that they have basically the same design except that each has a different number of rows of truncated dimples surrounding the equator. The dimple dimensions and positions for the balls of FIGS. 4 to 6 are provided below in Tables 5, 6 and 7, respectively.


Ball 30 or 25-2 of FIG. 4 has two rows of shallow truncated dimples 32 adjacent the equator in each hemisphere (i.e., a total of four rows in the complete ball), and spherical dimples 34 in each polar region. As indicated in Table 5, there are two different sizes of spherical dimples 34, and two different sizes of truncated dimple 32.


Ball 40 or 25-3 of FIG. 5 has four rows of shallow, truncated dimples 42 adjacent the equator in each hemisphere (i.e. a circumferential band of eight rows of shallow truncated dimples about the equator), and deep spherical dimples 44 in each polar region. As illustrated in FIG. 5 and indicated in Table 6, the truncated dimples 42 are of three different sizes, with the largest size dimples 42A located only in the third and fourth rows of dimples from the equator (i.e. the two rows closest to the polar region). Ball 40 also has spherical dimples with slightly different radii, as indicated in Table 6.


Ball 50 or 25-4 of FIG. 6 has three rows of shallow, truncated dimples 52 on each side of the equator (i.e. a circumferential band of six rows of dimples around the equator) and deep spherical dimples 54 in each polar region. Ball 50 has spherical dimples of three different radii and truncated dimples which are also of three different radii, as indicated in Table 7. As illustrated in FIG. 6 and indicated in Table 7 below, the third row of truncated dimples, i.e. the row adjacent to the polar region, has some larger truncated dimples 52A, which are three of the largest truncated dimples identified as Dimple #5 in Table 7. The adjacent polar region also has some larger spherical dimples 54A arranged in a generally triangular pattern with the larger truncated dimples, as illustrated in FIG. 6. Dimples 54A are three of the largest spherical dimples identified as Dimple #6 in Table 7. As seen in Table 7, there are twelve total large truncated dimples #5 and twelve total large spherical dimples #6, all with a radius of 0.0875 inches. FIG. 6 illustrates the triangular arrangement of three large truncated dimples and three large spherical dimples at one location. Similar arrangements are provided at three equally spaced locations around the remainder of the hemisphere of the ball illustrated in FIG. 6.


As indicated in Tables 5, 6, and 7 below, the balls 25-2 and 25-3 each have three different sizes of truncated dimple in the equatorial region and two different sizes of spherical dimple in the polar region, while ball 25-4 has three different sizes of truncated dimple as well as three different sizes of spherical dimple. The polar region of dimples is largest in ball 25-2, which has four rows of truncated dimples (two rows per hemisphere) in the equatorial region, and smallest in ball 25-3, which has eight rows of truncated dimples in the equatorial region. In alternative embodiments, balls may be made with a single row of truncated dimples in each hemisphere, as well as with a land area having no dimples in an equatorial region, the land area or band having a width equal to two, four or more rows of dimples, or with a band having regions with dimples alternating with land regions with no dimples spaced around the equator.









TABLE 5





Dimple Pattern Design# = 25-2


Molding cavity internal diameter = 1.694″


Total number of dimples on ball = 336

















Dimple # 1
Dimple # 2
Dimple # 3


Type truncated
Type spherical
Type truncated


Radius 0.0775
Radius 0.0775
Radius 0.0800


SCD 0.0121
SCD 0.0121
SCD 0.0121


TCD 0.0039
TCD —
TCD 0.0039















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
5.579593
73.51994
1
0
23.4884
1
5.591675
85.23955


2
16.75313
73.52028
2
13.0186
32.3247
2
16.84626
85.23955


3
27.91657
73.52668
3
19.9156
42.17697
3
28.29145
85.23955


4
62.08343
73.52668
4
24.008
52.43641
4
39.24409
73.35107


5
73.24687
73.52028
5
26.4186
62.92891
5
39.40674
85.23955


6
84.42041
73.51994
6
63.5814
62.92891
6
50.59326
85.23955


7
95.57959
73.51994
7
65.992
52.43641
7
50.75591
73.35107


8
106.7531
73.52028
8
70.0844
42.17697
8
61.70855
85.23955


9
117.9166
73.52668
9
76.9814
32.3247
9
73.15374
85.23955


10
152.0834
73.52668
10
90
23.4884
10
84.40833
85.23955


11
163.2469
73.52028
11
103.019
32.3247
11
95.59167
85.23955


12
174.4204
73.51994
12
109.916
42.17697
12
106.8463
85.23955


13
185.5796
73.51994
13
114.008
52.43641
13
118.2915
85.23955


14
196.7531
73.52028
14
116.419
62.92891
14
129.2441
73.35107


15
207.9166
73.52668
15
153.581
62.92891
15
129.4067
85.23955


16
242.0834
73.52668
16
155.992
52.43641
16
140.5933
85.23955


17
253.2469
73.52028
17
160.084
42.17697
17
140.7559
73.35107


18
264.4204
73.51994
18
166.981
32.3247
18
151.7085
85.23955


19
275.5796
73.51994
19
180
23.4884
19
163.1537
85.23955


20
286.7531
73.52028
20
193.019
32.3247
20
174.4083
85.23955


21
297.9166
73.52668
21
199.916
42.17697
21
185.5917
85.23955


22
332.0834
73.52668
22
204.008
52.43641
22
196.8463
85.23955


23
343.2469
73.52028
23
206.419
62.92891
23
208.2915
85.23955


24
354.4204
73.51994
24
243.581
62.92891
24
219.2441
73.35107





25
245.992
52.43641
25
219.4067
85.23955





26
250.084
42.17697
26
230.5933
85.23955





27
256.981
32.3247
27
230.7559
73.35107





28
270
23.4884
28
241.7085
85.23955





29
283.019
32.3247
29
253.1537
85.23955





30
289.916
42.17697
30
264.4083
85.23955





31
294.008
52.43641
31
275.5917
85.23955





32
296.419
62.92891
32
286.8463
85.23955





33
333.581
62.92891
33
298.2915
85.23955





34
335.992
52.43641
34
309.2441
73.35107





35
340.084
42.17697
35
309.4067
85.23955





36
346.981
32.3247
36
320.5933
85.23955








37
320.7559
73.35107








38
331.7085
85.23955








39
343.1537
85.23955








40
354.4083
85.23955













Dimple # 4
Dimple # 5



Type truncated
Type spherical



Radius 0.0800
Radius 0.0875



SCD 0.0121
SCD 0.0121



TCD 0.0039
TCD —














#
Phi
Theta
#
Phi
Theta







1
0
7.947466
1
0
40.85302



2
26.63272
17.75117
2
0
62.32899



3
33.30007
28.68155
3
8.422648
51.28898



4
36.11617
39.79409
4
13.60562
62.53208



5
37.72952
50.95749
5
76.39438
62.53208



6
38.62814
62.14951
6
81.57735
51.28898



7
51.37186
62.14951
7
90
40.85302



8
52.27048
50.95749
8
90
62.32899



9
53.88383
39.79409
9
98.42265
51.28898



10
56.69993
28.68155
10
103.6056
62.53208



11
63.36728
17.75117
11
166.3944
62.53208



12
90
7.947466
12
171.5774
51.28898



13
116.6327
17.75117
13
180
40.85302



14
123.3001
28.68155
14
180
62.32899



15
126.1162
39.79409
15
188.4226
51.28898



16
127.7295
50.95749
16
193.6056
62.53208



17
128.6281
62.14951
17
256.3944
62.53208



18
141.3719
62.14951
18
261.5774
51.28898



19
142.2705
50.95749
19
270
40.85302



20
143.8838
39.79409
20
270
62.32899



21
146.6999
28.68155
21
278.4226
51.28898



22
153.3673
17.75117
22
283.6056
62.53208



23
180
7.947466
23
346.3944
62.53208



24
206.6327
17.75117
24
351.5774
51.28898



25
213.3001
28.68155



26
216.1162
39.79409



27
217.7295
50.95749



28
218.6281
62.14951



29
231.3719
62.14951



30
232.2705
50.95749



31
233.8838
39.79409



32
236.6999
28.68155



33
243.3673
17.75117



34
270
7.947466



35
296.6327
17.75117



36
303.3001
28.68155



37
306.1162
39.79409



38
307.7295
50.95749



39
308.6281
62.14951



40
321.3719
62.14951



41
322.2705
50.95749



42
323.8838
39.79409



43
326.6999
28.68155



44
333.3673
17.75117

















TABLE 6







Dimple Pattern Design# = 25-3


Molding cavity internal diameter = 1.694″


Total number of dimples on ball = 336











Dimple # 1
Dimple # 2
Dimple # 3
Dimple # 4
Dimple # 5


Type spherical
Type truncated
Type spherical
Type truncated
Type truncated


Radius 0.0775
Radius 0.0800
Radius 0.0800
Radius 0.0775
Radius 0.0875


SCD 0.0121
SCD 0.0121
SCD 0.0121
SCD 0.0121
SCD 0.0121


TCD —
TCD 0.0039
TCD —
TCD 0.0039
TCD 0.0039





















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta
#
Phi
Theta
#
Phi
Theta
























1
0
23.4884
1
5.591675
85.23955
1
0
7.947466
1
5.579593
73.51994
1
0
62.32899


2
13.0186
32.3247
2
16.84626
85.23955
2
26.63272
17.75117
2
16.75313
73.52028
2
8.42265
51.28898


3
19.9156
42.17697
3
28.29145
85.23955
3
33.30007
28.68155
3
24.00802
52.43641
3
13.6056
62.53208


4
70.0844
42.17697
4
37.72952
50.95749
4
36.11617
39.79409
4
26.41855
62.92891
4
76.3944
62.53208


5
76.9814
32.3247
5
38.62814
62.14951
5
53.88383
39.79409
5
27.91657
73.52668
5
81.5774
51.28898


6
90
23.4884
6
39.24409
73.35107
6
56.69993
28.68155
6
62.08343
73.52668
6
90
62.32899


7
103.019
32.3247
7
39.40674
85.23955
7
63.36728
17.75117
7
63.58145
62.92891
7
98.4226
51.28898


8
109.916
42.17697
8
50.59326
85.23955
8
90
7.947466
8
65.99198
52.43641
8
103.606
62.53208


9
160.084
42.17697
9
50.75591
73.35107
9
116.6327
17.75117
9
73.24687
73.52028
9
166.394
62.53208


10
166.981
32.3247
10
51.37186
62.14951
10
123.3001
28.68155
10
84.42041
73.51994
10
171.577
51.28898


11
180
23.4884
11
52.27048
50.95749
11
126.1162
39.79409
11
95.57959
73.51994
11
180
62.32899


12
193.019
32.3247
12
61.70855
85.23955
12
143.8838
39.79409
12
106.7531
73.52028
12
188.423
51.28898


13
199.916
42.17697
13
73.15374
85.23955
13
146.6999
28.68155
13
114.008
52.43641
13
193.606
62.53208


14
250.084
42.17697
14
84.40833
85.23955
14
153.3673
17.75117
14
116.4186
62.92891
14
256.394
62.53208


15
256.981
32.3247
15
95.59167
85.23955
15
180
7.947466
15
117.9166
73.52668
15
261.577
51.28898


16
270
23.4884
16
106.8463
85.23955
16
206.6327
17.75117
16
152.0834
73.52668
16
270
62.32899


17
283.019
32.3247
17
118.2915
85.23955
17
213.3001
28.68155
17
153.5814
62.92891
17
278.423
51.28898


18
289.916
42.17697
18
127.7295
50.95749
18
216.1162
39.79409
18
155.992
52.43641
18
283.606
62.53208


19
340.084
42.17697
19
128.6281
62.14951
19
233.8838
39.79409
19
163.2469
73.52028
19
346.394
62.53208


20
346.981
32.3247
20
129.2441
73.35107
20
236.6999
28.68155
20
174.4204
73.51994
20
351.577
51.28898





21
129.4067
85.23955
21
243.3673
17.75117
21
185.5796
73.51994
21
0
40.85302





22
140.5933
85.23955
22
270
7.947466
22
196.7531
73.52028
22
90
40.85302





23
140.7559
73.35107
23
296.6327
17.75117
23
204.008
52.43641
23
180
40.85302





24
141.3719
62.14951
24
303.3001
28.68155
24
206.4186
62.92891
24
270
40.85302





25
142.2705
50.95749
25
306.1162
39.79409
25
207.9166
73.52668





26
151.7085
85.23955
26
323.8838
39.79409
26
242.0834
73.52668





27
163.1537
85.23955
27
326.6999
28.68155
27
243.5814
62.92891





28
174.4083
85.23955
28
333.3673
17.75117
28
245.992
52.43641





29
185.5917
85.23955



29
253.2469
73.52028





30
196.8463
85.23955



30
264.4204
73.51994





31
208.2915
85.23955



31
275.5796
73.51994





32
217.7295
50.95749



32
286.7531
73.52028





33
218.6281
62.14951



33
294.008
52.43641





34
219.2441
73.35107



34
296.4186
62.92891





35
219.4067
85.23955



35
297.9166
73.52668





36
230.5933
85.23955



36
332.0834
73.52668





37
230.7559
73.35107



37
333.5814
62.92891





38
231.3719
62.14951



38
335.992
52.43641





39
232.2705
50.95749



39
343.2469
73.52028





40
241.7085
85.23955



40
354.4204
73.51994





41
253.1537
85.23955





42
264.4083
85.23955





43
275.5917
85.23955





44
286.8463
85.23955





45
298.2915
85.23955





46
307.7295
50.95749





47
308.6281
62.14951





48
309.2441
73.35107





49
309.4067
85.23955





50
320.5933
85.23955





51
320.7559
73.35107





52
321.3719
62.14951





53
322.2705
50.95749





54
331.7085
85.23955





55
343.1537
85.23955





56
354.4083
85.23955
















TABLE 7





Dimple Pattern Design# = 25-4


Molding cavity internal diameter = 1.694″


Total number of dimples on ball = 336


















Dimple # 1
Dimple # 2
Dimple # 3
Dimple # 4


Type truncated
Type spherical
Type truncated
Type spherical


Radius 0.0775
Radius 0.0775
Radius 0.0800
Radius 0.0800


SCD 0.0121
SCD 0.0121
SCD 0.0121
SCD 0.0121


TCD 0.0039
TCD —
TCD 0.0039
TCD —


















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
5.579593
73.5199369
1
0
23.4884
1
5.591675
85.2395467
1
0
7.947466


2
16.75313
73.5202824
2
13.0186
32.3247
2
16.84626
85.2395467
2
26.63272
17.75117


3
26.41855
62.9289055
3
19.9156
42.17697
3
28.29145
85.2395467
3
33.30007
28.68155


4
27.91657
73.5266783
4
24.008
52.43641
4
38.62814
62.1495131
4
36.11617
39.79409


5
62.08343
73.5266783
5
65.992
52.43641
5
39.24409
73.3510713
5
37.72952
50.95749


6
63.58145
62.9289055
6
70.0844
42.17697
6
39.40674
85.2395467
6
52.27048
50.95749


7
73.24687
73.5202824
7
76.9814
32.3247
7
50.59326
85.2395467
7
53.88383
39.79409


8
84.42041
73.5199369
8
90
23.4884
8
50.75591
73.3510713
8
56.69993
28.68155


9
95.57959
73.5199369
9
103.019
32.3247
9
51.37186
62.1495131
9
63.36728
17.75117


10
106.7531
73.5202824
10
109.916
42.17697
10
61.70855
85.2395467
10
90
7.947466


11
116.4186
62.9289055
11
114.008
52.43641
11
73.15374
85.2395467
11
116.6327
17.75117


12
117.9166
73.5266783
12
155.992
52.43641
12
84.40833
85.2395467
12
123.3001
28.68155


13
152.0834
73.5266783
13
160.084
42.17697
13
95.59167
85.2395467
13
126.1162
39.79409


14
153.5814
62.9289055
14
166.981
32.3247
14
106.8463
85.2395467
14
127.7295
50.95749


15
163.2469
73.5202824
15
180
23.4884
15
118.2915
85.2395467
15
142.2705
50.95749


16
174.4204
73.5199369
16
193.019
32.3247
16
128.6281
62.1495131
16
143.8838
39.79409


17
185.5796
73.5199369
17
199.916
42.17697
17
129.2441
73.3510713
17
146.6999
28.68155


18
196.7531
73.5202824
18
204.008
52.43641
18
129.4067
85.2395467
18
153.3673
17.75117


19
206.4186
62.9289055
19
245.992
52.43641
19
140.5933
85.2395467
19
180
7.947466


20
207.9166
73.5266783
20
250.084
42.17697
20
140.7559
73.3510713
20
206.6327
17.75117


21
242.0834
73.5266783
21
256.981
32.3247
21
141.3719
62.1495131
21
213.3001
28.68155


22
243.5814
62.9289055
22
270
23.4884
22
151.7085
85.2395467
22
216.1162
39.79409


23
253.2469
73.5202824
23
283.019
32.3247
23
163.1537
85.2395467
23
217.7295
50.95749


24
264.4204
73.5199369
24
289.916
42.17697
24
174.4083
85.2395467
24
232.2705
50.95749


25
275.5796
73.5199369
25
294.008
52.43641
25
185.5917
85.2395467
25
233.8838
39.79409


26
286.7531
73.5202824
26
335.992
52.43641
26
196.8463
85.2395467
26
236.6999
28.68155


27
296.4186
62.9289055
27
340.084
42.17697
27
208.2915
85.2395467
27
243.3673
17.75117


28
297.9166
73.5266783
28
346.981
32.3247
28
218.6281
62.1495131
28
270
7.947466


29
332.0834
73.5266783



29
219.2441
73.3510713
29
296.6327
17.75117


30
333.5814
62.9289055



30
219.4067
85.2395467
30
303.3001
28.68155


31
343.2469
73.5202824



31
230.5933
85.2395467
31
306.1162
39.79409


32
354.4204
73.5199369



32
230.7559
73.3510713
32
307.7295
50.95749








33
231.3719
62.1495131
33
322.2705
50.95749








34
241.7085
85.2395467
34
323.8838
39.79409








35
253.1537
85.2395467
35
326.6999
28.68155








36
264.4083
85.2395467
36
333.3673
17.75117








37
275.5917
85.2395467








38
286.8463
85.2395467








39
298.2915
85.2395467








40
308.6281
62.1495131








41
309.2441
73.3510713








42
309.4067
85.2395467








43
320.5933
85.2395467








44
320.7559
73.3510713








45
321.3719
62.1495131








46
331.7085
85.2395467








47
343.1537
85.2395467








48
354.4083
85.2395467













Dimple # 5
Dimple # 6



Type truncated
Type spherical



Radius 0.0875
Radius 0.0875



SCD 0.0121
SCD 0.0121



TCD 0.0039
TCD —














#
Phi
Theta
#
Phi
Theta







1
0
62.3289928
1
0
40.85302



2
13.60562
62.5320764
2
8.42265
51.28898



3
76.39438
62.5320764
3
81.5774
51.28898



4
90
62.3289928
4
90
40.85302



5
103.6056
62.5320764
5
98.4226
51.28898



6
166.3944
62.5320764
6
171.577
51.28898



7
180
62.3289928
7
180
40.85302



8
193.6056
62.5320764
8
188.423
51.28898



9
256.3944
62.5320764
9
261.577
51.28898



10
270
62.3289928
10
270
40.85302



11
283.6056
62.5320764
11
278.423
51.28898



12
346.3944
62.5320764
12
351.577
51.28898










Dimple patterns 25-2, 25-3 and 25-4 are similar to pattern 2-9 in that they have truncated dimples around the equatorial region and deeper dimples around the pole region, but the truncated dimples in patterns 25-2, 25-3 and 25-4 are of larger diameter than the truncated dimples of patterns 28-1, 25-1 and 2-9. The larger truncated dimples near the equator means that more weight is removed from the equator area. With all other factors being equal, this means that there is a smaller MOI difference between the PH and POP orientations for balls 25-2, 25-3 and 25-4 than for balls 28-1, 28-2, 25-1 and 2-9.



FIG. 7 illustrates one hemisphere of a golf ball 60 according to another embodiment, which has a different dimple pattern identified as dimple pattern 28-3 in the following description. Dimple pattern 28-3 of ball 60 comprises three rows of truncated dimples 62 on each side of the equator, an area of small spherical dimples 64 at each pole, and an area of larger, deep spherical dimples 65 between dimples 64 and dimples 62. Table 8 indicates the dimple parameters and coordinates for golf ball 60. As illustrated in Table 8, ball 28-3 has one size of truncated dimple, four sizes of larger spherical dimples (dimple numbers 2, 3, 5 and 6) and one size of smaller spherical dimple (dimple number 1) in the polar regions.


As indicated in Table 8 and FIG. 7, the small spherical dimples 64 at the pole are all of the same radius, and there are thirteen dimples 64 arranged in a generally square pattern centered on the pole of each hemisphere. There are four different larger spherical dimples 65 (dimple numbers 2 to 6 of Table 8) of progressively increasing radius from 0.075 inches to 0.0825 inches. The ball with dimple pattern 28-3 also has a preferred spin axis through the poles due to the weight difference caused by locating a larger volume of dimples in each polar region than in the equatorial band around the equator.


The dimple parameters and coordinates for making one hemisphere of the 28-3 ball are listed below in Table 8,









TABLE 8





Dimple Pattern Design# 28-3


Molding cavity internal diameter = 1.692″


Total number of dimples on ball = 354

















Dimple # 1
Dimple # 2
Dimple # 3


Type spherical
Type spherical
Type spherical


Radius 0.0475
Radius 0.0750
Radius 0.0775


SCD 0.0080
SCD 0.0080
SCD 0.0080


TCD —
TCD —
TCD —















#
Phi
Theta
#
Phi
Theta
#
Phi
Theta





1
0
0
1
12.927785
31.884481
1
0
23.102459


2
0
6.6748046
2
77.072215
31.884481
2
27.477912
18.124586


3
0
13.353545
3
102.92779
31.884481
3
62.522088
18.124586


4
45
9.4610963
4
167.07221
31.884481
4
90
23.102459


5
90
6.6748046
5
192.92779
31.884481
5
117.47791
18.124586


6
90
13.353545
6
257.07221
31.884481
6
152.52209
18.124586


7
135
9.4610963
7
282.92779
31.884481
7
180
23.102459


8
180
6.6748046
8
347.07221
31.884481
8
207.47791
18.124586


9
180
13.353545



9
242.52209
18.124586


10
225
9.4610963



10
270
23.102459


11
270
6.6748046



11
297.47791
18.124586


12
270
13.353545



12
332.52209
18.124586


13
315
9.4610963













Dimple # 5
Dimple # 6



Type spherical
Type spherical



Radius 0.0800
Radius 0.0825



SCD 0.0080
SCD 0.0080



TCD —
TCD —














#
Phi
Theta
#
Phi
Theta







1
23.959474
52.85795
1
19.446897
42.09101



2
33.420036
28.804503
2
70.553103
42.09101



3
36.311426
39.777883
3
109.4469
42.09101



4
37.838691
50.813627
4
160.5531
42.09101



5
52.161309
50.813627
5
199.4469
42.09101



6
53.688574
39.777883
6
250.5531
42.09101



7
56.579964
28.804503
7
289.4469
42.09101



8
66.040526
52.85795
8
340.5531
42.09101



9
113.95947
52.85795
9
0
40.242952



10
123.42004
28.804503
10
90
40.242952



11
126.31143
39.777883
11
180
40.242952



12
127.83869
50.813627
12
270
40.242952



13
142.16131
50.813627
13
8.3680473
51.180102



14
143.68857
39.777883
14
81.631953
51.180102



15
146.57996
28.804503
15
98.368047
51.180102



16
156.04053
52.85795
16
171.63195
51.180102



17
203.95947
52.85795
17
188.36805
51.180102



18
213.42004
28.804503
18
261.63195
51.180102



19
216.31143
39.777883
19
278.36805
51.180102



20
217.83869
50.813627
20
351.63195
51.180102



21
232.16131
50.813627



22
233.68857
39.777883



23
236.57996
28.804503



24
246.04053
52.85795



25
293.95947
52.85795



26
303.42004
28.804503



27
306.31143
39.777883



28
307.83869
50.813627



29
322.16131
50.813627



30
323.68857
39.777883



31
326.57996
28.804503



32
336.04053
52.85795











Dimple # 4


Type truncated


Radius 0.0670


SCD 0.0121


TCD 0.0039









#
Phi
Theta





1
0
62.0690668


2
0
83.5


3
5.65
73.3833254


4
11.26
83.5


5
13.34
62.0690668


6
16.83
73.3833254


7
22.66
83.5


8
26.32
62.8658456


9
27.98
73.3833254


10
33.82
83.5


11
38.44
61.760315


12
39.02
73.3833254


13
45
83.5


14
50.98
73.3833254


15
51.56
61.760315


16
56.18
83.5


17
62.02
73.3833254


18
63.68
62.8658456


19
67.34
83.5


20
73.17
73.3833254


21
76.66
62.0690668


22
78.74
83.5


23
84.35
73.3833254


24
90
62.0690668


25
90
83.5


26
95.65
73.3833254


27
101.26
83.5


28
103.34
62.0690668


29
106.83
73.3833254


30
112.66
83.5


31
116.32
62.8658456


32
117.98
73.3833254


33
123.82
83.5


34
128.44
61.760315


35
129.02
73.3833254


36
135
83.5


37
140.98
73.3833254


38
141.56
61.760315


39
146.18
83.5


40
152.02
73.3833254


41
153.68
62.8658456


42
157.34
83.5


43
163.17
73.3833254


44
166.66
62.0690668


45
168.74
83.5


46
174.35
73.3833254


47
180
62.0690668


48
180
83.5


49
185.65
73.3833254


50
191.26
83.5


51
193.34
62.0690668


52
196.83
73.3833254


53
202.66
83.5


54
206.32
62.86585


55
207.98
73.38333


56
213.82
83.5


57
218.44
61.76032


58
219.02
73.38333


59
225
83.5


60
230.98
73.38333


61
231.56
61.76032


62
236.18
83.5


63
242.02
73.38333


64
243.68
62.86585


65
247.34
83.5


66
253.17
73.38333


67
256.66
62.06907


68
258.74
83.5


69
264.35
73.38333


70
270
62.06907


71
270
83.5


72
275.65
73.38333


73
281.26
83.5


74
283.34
62.06907


75
286.83
73.38333


76
292.66
83.5


77
296.32
62.86585


78
297.98
73.38333


79
303.82
83.5


80
308.44
61.76032


81
309.02
73.38333


82
315
83.5


83
320.98
73.38333


84
321.56
61.76032


85
326.18
83.5


86
332.02
73.38333


87
333.68
62.86585


88
337.34
83.5


89
343.17
73.38333


90
346.66
62.06907


91
348.74
83.5


92
354.35
73.38333









In one example, the seam widths for balls 28-1, 28-2, and 28-3 was 0.0088″ total (split on each hemisphere), while the seam widths for balls 25-2, 25-3, and 25-4 was 0.006″, and the seam width for ball 25-1 was 0.030″.


Each of the dimple patterns described above and illustrated in FIGS. 1 to 7 has less dimple volume in a band around the equator and more dimple volume in the polar region. The balls with these dimple patterns have a preferred spin axis extending through the poles, so that slicing and hooking is resisted if the ball is placed on the tee with the preferred spin axis substantially horizontal. If placed on the tee with the preferred spin axis pointing up and down (POP orientation), the ball is much less effective in correcting hooks and slices compared to being oriented in the PH orientation. If desired, the ball may also be oriented on the tee with the preferred spin axis tilted up by about 45 degrees to the right, and in this case the ball still reduces slice dispersion, but does not reduce hook dispersion as much. If the preferred spin axis is tilted up by about 45 degrees to the left, the ball reduces hook dispersion but does not resist slice dispersion as much.



FIG. 8 illustrates a ball 70 with a dimple pattern similar to the ball 28-1 of FIG. 1 but which has a wider region or land region 72 with no dimples about the equator. In the embodiment of FIG. 8, the region 72 is formed by removing two rows of dimples on each side of the equator from the ball 10 of FIG. 1, leaving one row of shallow truncated dimples 74. The polar region of dimples is identical to that of FIG. 1, and like reference numbers are used for like dimples. Rows of truncated dimples may be removed from any of the balls of FIGS. 2 to 7 in a similar manner to leave a dimpleless region or land area about the equator. The dimpleless region in some embodiments may be narrow, like a wider seam, or may be wider by removing one, two, or all of the rows of truncated dimples next to the equator, producing a larger MOI difference between the poles horizontal (PH) and other orientations.



FIG. 9 is a diagram illustrating the relationship between the chord depth of a truncated and a spherical dimple as used in the dimple patterns of the golf balls described above. A golf ball having a diameter of about 1.68 inches was molded using a mold with an inside diameter of approximately 1.694 inches to accommodate for the polymer shrinkage. FIG. 9 illustrates part of the surface 75 of the golf ball with a spherical dimple 76 of spherical chord depth of d2 and a radius R represented by half the length of the dotted line. In order to form a truncated dimple, a cut is made along plane A-A to make the dimple shallower, with the truncated dimple having a truncated chord depth of d1, which is smaller than the spherical chord depth d2. The volume of cover material removed above the edges of the dimple is represented by volume V3 above the dotted line, with a depth d3. In FIG. 9,


V1=volume of truncated dimple,


V1+V2=volume of spherical dimple,


V1+V2+V3=volume of cover removed to create spherical dimple, and


V1+V3=volume of cover removed to create truncated dimple.


For dimples that are based on the same radius and spherical chord depth, the moment of inertia difference between a ball with truncated dimples and spherical dimples is related to the volume V2 below line or plane A-A which is removed in forming a spherical dimple and not removed for the truncated dimple. A ball with all other factors being the same except that one has only truncated dimples and the other has only spherical dimples, with the difference between the truncated and spherical dimples being only the volume V2 (i.e. all other dimple parameters are the same), the ball with truncated dimples is of greater weight and has a higher MOI than the ball with spherical dimples, which has more material removed from the surface to create the dimples.


The approximate moment of inertia can be calculated for each of the balls illustrated in FIGS. 1 to 7 and in Tables 1 to 8 (i.e. balls 2-9, 25-1 to 25-4, and 28-1 to 28-3). In one embodiment, balls having these patterns were drawn in SolidWorks® and their MOI's were calculated along with the known Polara™ golf ball referenced above as a standard. SolidWorks® was used to calculate the MOI's based on each ball having a uniform solid density of 0.036413 lbs/in̂3. The other physical size and weight parameters for each ball are given in Table 9 below.














TABLE 9










surface



density,
mass,
mass,
volume,
area,


Ball
lbs/in{circumflex over ( )}3
lbs
grams
inch{circumflex over ( )}3
inch{circumflex over ( )}2




















Polara
0.03613
0.09092
41.28
2.517
13.636


 2-9
0.03613
0.09064
41.15
2.509
13.596


25-1
0.03613
0.09060
41.13
2.508
13.611


25-2
0.03613
0.09024243
40.97
2.4979025
13.560402


25-3
0.03613
0.09028772
40.99
2.4991561
13.575728


25-4
0.03613
0.09026686
40.98
2.4985787
13.568852


28-1
0.03613
0.09047
41.07
2.504
13.609


28-2
0.03613
0.09047
41.07
2.504
13.609


28-3
0.03613
0.09053814
41.1
2.5060878
13.556403










The MOI for each ball was calculated based on the dimple pattern information and the physical information in Table 9. Table 10 shows the MOI calculations.

















TABLE 10













% MOI










delta



Px, lbs ×
Py, lbs ×
Pz, lbs ×


MOI Delta =
% (Pmax −
relative to


Ball
inch{circumflex over ( )}2
inch{circumflex over ( )}2
inch{circumflex over ( )}2
Pmax
Pmin
Pmax − Pmin
Pmin)/Pmax
Polara























Polara
0.025848
0.025917
0.025919
0.025919
0.025848
0.0000703
0.271%
0.0%


 2-9
0.025740
0.025741
0.025806
0.025806
0.025740
0.0000665
0.258%
−5.0%


25-1
0.025712
0.025713
0.025800
0.025800
0.025712
0.0000880
0.341%
25.7%


25-2
0.02556791
0.02557031
0.02558386
0.0255839
0.0255679
1.595E−05
0.062%
−77.0%


25-3
0.0255822
0.02558822
0.02559062
0.0255906
0.0255822
8.42E−06
0.033%
−87.9%


25-4
0.02557818
0.02558058
0.02559721
0.0255972
0.0255782
1.903E−05
0.074%
−72.6%


28-1
0.025638
0.025640
0.025764
0.025764
0.025638
0.0001254
0.487%
79.5%


28-2
0.025638
0.025640
0.025764
0.025764
0.025638
0.0001258
0.488%
80.0%


28-3
0.02568461
0.02568647
0.02577059
0.0257706
0.0256846
8.598E−05
0.334%
23.0%









With the Polara™ golf ball as a standard, the MOI differences between each orientation were compared to the Polara golf ball in addition to being compared to each other. The largest difference between any two orientations is called the “MOI Delta”, shown in table 10. The two columns to the right quantify the MOI Delta in terms of the maximum % difference in MOI between two orientations and the MOI Delta relative to the MOI Delta for the Polara ball. Because the density value used to calculate the mass and MOI was lower than the average density of a golf ball, the predicted weight and MOI for each ball is relative to each other, but not exactly the same as the actual MOI values of the golf balls that were made, robot tested and shown in Table 10. Generally a golf ball weighs about 45.5-45.9 g. Comparing the MOI values of all of the balls in Table 10 is quite instructive, in that it predicts the relative order of MOI difference between the different designs, with the 25-3 ball having the smallest MOI difference and ball 28-2 having the largest MOI difference.


Table 11 shows that a ball's MOI Delta does strongly influence the ball's dispersion control. In general as the relative MOI Delta of each ball increases, the dispersion distance for a slice shot decreases. The results illustrated in Table 11 also include data obtained from testing a known TopFlite XL straight ball, and were obtained during robot testing under standard laboratory conditions, as discussed in more detail below.















TABLE 11







% MOI








difference




between
Avg C-DISP,
Avg C-DIST,
Avg T-DISP,
Avg T-DIST,


Ball
Orientation
orientations
ft
yds
ft
yds





















28-2
PH
0.488%
9.6
180.6
7.3
201.0


28-1
PH
0.487%
−2.6
174.8
−7.6
200.5


TopFLite XL
random
0.000%
66.5
189.3
80.6
200.4


Straight


25-1
PH
0.341%
7.4
184.7
9.6
207.5


28-3
PH
0.334%
16.3
191.8
23.5
211.8


Polara
PFB
0.271%
29.7
196.6
38.0
214.6


 2-9
PH
0.258%
12.8
192.2
10.5
214.5


25-4
PH
0.074%
56.0
185.4
71.0
197.3


25-2
PH
0.062%
52.8
187.0
68.1
199.9


25-3
PH
0.033%
63.4
188.0
75.1
197.9









As illustrated in Table 11, balls 28-3, 25-1, 28-1 and 28-2 all have higher MOI deltas relative to the Polara, and they all have better dispersion control than the Polara. This MOI difference is also shown in FIGS. 10 and 11, which also includes test data for the TopFlite XL Straight made by Callaway Golf.


The aerodynamic force acting on a golf ball during flight can be broken down into three separate force vectors: Lift, Drag, and Gravity. The lift force vector acts in the direction determined by the cross product of the spin vector and the velocity vector. The drag force vector acts in the direction opposite of the velocity vector. More specifically, the aerodynamic properties of a golf ball are characterized by its lift and drag coefficients as a function of the Reynolds Number (Re) and the Dimensionless Spin Parameter (DSP). The Reynolds Number is a dimensionless quantity that quantifies the ratio of the inertial to viscous forces acting on the golf ball as it flies through the air. The Dimensionless Spin Parameter is the ratio of the golf ball's rotational surface speed to its speed through the air.


The lift and drag coefficients of a golf ball can be measured using several different methods including an Indoor Test Range such as the one at the USGA Test Center in Far Hills, N.J. or an outdoor system such as the Trackman Net System made by Interactive Sports Group in Denmark. The test results described below and illustrated in FIGS. 10 to 17 for some of the embodiments described above as well as some conventional golf balls for comparison purposes were obtained using a Trackman Net System.


For right-handed golfers, particularly higher handicap golfers, a major problem is the tendency to “slice” the ball. The unintended slice shot penalizes the golfer in two ways: 1) it causes the ball to deviate to the right of the intended flight path and 2) it can reduce the overall shot distance. A sliced golf ball moves to the right because the ball's spin axis is tilted to the right. The lift force by definition is orthogonal to the spin axis and thus for a sliced golf ball the lift force is pointed to the right.


The spin-axis of a golf ball is the axis about which the ball spins and is usually orthogonal to the direction that the golf ball takes in flight. If a golf ball's spin axis is 0 degrees, i.e., a horizontal spin axis causing pure backspin, the ball does not hook or slice and a higher lift force combined with a 0-degree spin axis only makes the ball fly higher. However, when a ball is hit in such a way as to impart a spin axis that is more than 0 degrees, it hooks, and it slices with a spin axis that is less than 0 degrees. It is the tilt of the spin axis that directs the lift force in the left or right direction, causing the ball to hook or slice. The distance the ball unintentionally flies to the right or left is called Carry Dispersion. A lower flying golf ball, i.e., having a lower lift, is a strong indicator of a ball that has lower Carry Dispersion.


The amount of lift force directed in the hook or slice direction is equal to: Lift Force*Sine (spin axis angle). The amount of lift force directed towards achieving height is: Lift Force*Cosine (spin axis angle).


A common cause of a sliced shot is the striking of the ball with an open clubface. In this case, the opening of the clubface also increases the effective loft of the club and thus increases the total spin of the ball. With all other factors held constant, a higher ball spin rate in general produces a higher lift force and this is why a slice shot often has a higher trajectory than a straight or hook shot.


The table below shows the total ball spin rates generated by a golfer with club head speeds ranging from approximately 85-105 mph using a 10.5 degree driver and hitting a variety of prototype golf balls and commercially available golf balls that are considered to be low and normal spin golf balls:

















Spin Axis, degree
Typical Total Spin, rpm
Type Shot




















−30
2,500-5,000
Strong Slice



−15
1,700-5,000
Slice



0
1,400-2,800
Straight



+15
1,200-2,500
Hook



+30
1,000-1,800
Strong Hook











FIG. 10 illustrates the average Carry and Total Dispersion versus the MOI difference between the minimum and maximum orientations for each dimple design (random for the TopFlite XL, which is a conforming or symmetrical ball under USGA regulations), using data obtained from robot testing using a Trackman System as referenced above. Balls 25-2, 25-3, and 25-4 of FIG. 10 (also illustrated in FIGS. 4 to 6) are related since they have basically the same dimple pattern except that each has a different number of rows of dimples surrounding the equator, with ball 25-2 having two rows on each side, ball 25-3 having four rows, and ball 25-4 having three rows. The % MOI delta between the minimum and maximum orientation for each of these balls obtained from the data in FIG. 10 is indicated in Table 12 below.











TABLE 12






Rows of truncated



Design
around the equator
% MOI


#
(per hemisphere)
Delta







25-2
2
0.062%


25-3
4
0.033%


25-4
3
0.074%










FIG. 11 shows the average Carry and Total Distance versus the MOI difference between the Minimum and Maximum orientations for each dimple design.


Table 13 below illustrates results from slice testing the 25-1, 28-1, and 2-9 balls as well as the Titleist ProV1 and the TopFlite XL Straight balls, with the 25-1, 28-1 and 2-9 balls tested in both the PH and POP orientations. In this table, the average values for carry dispersion, carry distance, total dispersion, total yards, and roll yards are indicated. This indicates that the 25-1, 28-1 and 2-9 balls have significantly less dispersion in the PH orientation than in the POP orientation, and also have less dispersion than the known symmetrical ProV1 and TopFlite balls which were tested.









TABLE 13







Results from 4-15-10 slice test









Average Values for TrackMan Data















Carry
Carry
Total
Total



Ball

Dispersion,
Distance,
Dispersion,
Distance,


Name
Orientation
ft
yds
ft
yds
Roll, yds
















25-1
PH
11
197
17
224
25


28-1
PH
−8
194
−5
212
18


 2-9
PH
15
202
22
233
30


25-1
POP
39
198
54
215
18


28-1
POP
47
202
62
216
14


 2-9
POP
65
194
79
206
13


ProV1
POP
66
197
74
204
7


TopFlite
POP
50
196
69
206
10









Golf balls 25-1, 28-1, 2-9, Polara 2p 4/08, Titleist ProV1 and TopFlite XL Straight were subjected to several tests under industry standard laboratory conditions to demonstrate the better performance that the dimple patterns described herein obtain over competing golf balls. In these tests, the flight characteristics and distance performance of the golf balls 25-1, 28-1 and 2-9 were conducted and compared with a Titleist Pro V10 made by Acushnet and TopFlite XL Straight made by Callaway Golf and a Polara 2p 4/08 made by Pounce Sports LLC. Also, each of the golf balls 25-1, 28-1, 2-9, Polara 2p 4/08, were tested in the Poles-Forward-Backward (PFB), Pole-Over-Pole (POP) and Pole Horizontal (PH) orientations. The Pro V1® and TopFlite XL Straight are USGA conforming balls and thus are known to be spherically symmetrical, and were therefore tested in no particular orientation (random orientation). Golf balls 25-1 and 28-1 were made from basically the same materials and had a DuPont HPF 2000 based core and a Surlyn™ blend (50% 9150, 50% 8150) cover. The cover was approximately 0.06 inches thick.


The tests were conducted with a “Golf Laboratories” robot and hit with the same Taylor Made® driver at varying club head speeds. The Taylor Made® driver had a 10.5° R9 460 club head with a Motore 65 “S” shaft. The golf balls were hit in a random order. Further, the balls were tested under conditions to simulate an approximately 15-25 degree slice, e.g., a negative spin axis of 15-25 degrees.



FIGS. 12 and 13 are examples of the top and side view of the trajectories for individual shots from the Trackman Net system when tested as described above. The Trackman trajectory data in FIGS. 12 and 13 clearly shows the 28-1, 25-1 and 2-9 balls in PH orientation were much straighter (less dispersion) and lower flying (lower trajectory height). The maximum trajectory height data in FIG. 13 correlates directly with the lift coefficient (CL) produced by each golf ball. The results indicate that the Pro V10 and TopFlite XL straight golf ball generated more lift than the 28-1, 25-1 or 2-9 balls in the PH orientation.


Lift and Drag Coefficient Testing & Results, CL and CD Regressions


FIGS. 14-17 show the lift and drag coefficients (CL and CD) versus Reynolds Number (Re) at spin rates of 3,500 rpm and 4,500 rpm respectively, for the 25-1, 28-1 and 2-9 dimple designs as well as for the TopFlite® XL Straight, Polara 2p and Titleist Pro V1®. The curves in each graph were generated from the regression analysis of multiple straight shots for each ball design in a specific orientation.


The curves in FIGS. 14-17 depict the results of regression analysis of many shots over the course of testing done in the period from January through April 2010 under a variety of spin and Reynolds Number conditions. To obtain the regression data shown in FIGS. 14 to 17, a Trackman Net System consisting of 3 radar units was used to track the trajectory of a golf ball that was struck by a Golf Labs robot equipped with various golf clubs. The robot was set up to hit a straight shot with various combinations of initial spin and velocity. A wind gauge was used to measure the wind speed at approximately 20 ft elevation near the robot location. The Trackman Net System measured trajectory data (x, y, z location vs. time) which were then used to calculate the lift coefficients (CL) and drag coefficients (CD) as a function of measured time-dependent quantities including Reynolds Number, Ball Spin Rate, and Dimensionless Spin Parameter. Each golf ball model or design was tested under a range of velocity and spin conditions that included 3,000-5,000 rpm spin rate and 120,000-180,000 Reynolds Number. A 5-term multivariable regression model for the lift and drag coefficients as a function of Reynolds Number (Re) and Dimensionless Spin Parameter (W) was then fit to the data for each ball design: The regression equations for CL and CD were:






CL
Regression
=a
1
*Re+a
2
*W+a
3
*Rê2+a4*Ŵ2+a5*ReW+a6






CD
Regression
=b
1
*Re+b
2
*W+b
3
*Rê2+b4*Ŵ2+b5*ReW+b6


Where ai with i=1-6 are regression coefficients for Lift Coefficient and


bi with i=1-6 are regression coefficients for Drag Coefficient


Typically the predicted CD and CL values within the measured Re and W space (interpolation) were in close agreement with the measured CD and CL values. Correlation coefficients of 96-99% were typical.


Below in Tables 14A and 14B are the regression constants for each ball shown in FIGS. 14-17. Using these regression constants, the Drag and Lift coefficients can be calculated over the range of 3,000-5,000 rpm spin rate and 120,000-180,000 Reynolds Number. FIGS. 14 to 17 were constructed for a very limited set of spin and Re conditions (3,500 or 4,500 rpm and varying the Re from 120,000 to 180,000), just to provide a few examples of the vast amount of data contained by the regression constants for lift and drag shown in Tables 14A and 14B. The constants can be used to represent the lift and drag coefficients at any point within the space of 3,000-5,000 rpm spin rate and 120,000-180,000 Reynolds Number.











TABLE 14A









Lift Coefficient regression equation coeficient














Ball Design#
Orientation
a4
a3
a5
a2
a1
a6

















25-1
PH
−0.030201
−3.98E−12
−8.44E−07
0.867344
1.37E−06
−0.087395


25-1
PFB
−2.20008
−3.94E−12
−4.28E−06
2.186681
1.61E−06
−0.129568


28-1
PFB
−1.23292
−6.02E−12
−3.02E−06
1.722214
2.26E−06
−0.177147


28-1
PH
−0.88888
−4.65E−12
−3.49E−06
1.496342
2.15E−06
−0.22382


Polara 2p 4/08
PH
−0.572601
−2.02E−11
−6.63E−06
1.303124
6.1E−06
−0.231079


Polara 2p 4/08
PFB
−1.396513
−7.39E−12
−2.82E−06
1.612026
2.34E−06
−0.140899


Titleist ProV1
na
−0.996621
−4.01E−12
−1.83E−06
1.251743
1.08E−06
0.018157


2-9-121909
PFB
−0.564838
−2.73E−12
8.44E−07
0.592334
1.78E−07
0.161622


2-9-121909
PH
−3.198559
−8.57E−12
−8.56E−06
2.945159
3.57E−06
−0.349143


TopFlite XL-Str
NA
−0.551398
1.48E−12
1.76E−06
0.61879
−1.08E−06
0.222013


















TABLE 14B









Drag Coefficient regression equation coeficient














Ball Design#
Orientation
b4
b3
b5
b2
b1
b6

















25-1
PH
0.369982
−3.16E−12
−1.81E−07
0.278718
9.28E−07
0.139166


25-1
PFB
−0.149176
−1.64E−12
3.04E−07
0.66705
5.35E−07
0.126985


28-1
PFB
0.431796
−1.62E−12
8.56E−07
0.25899
2.76E−07
0.200928


28-1
PH
0.84062
−2.23E−12
8.84E−07
−0.135614
4.23E−07
0.226051


Polara 2p 4/08
PH
−1.086276
4.01E−12
−2.33E−06
1.194892
−2.7E−07
0.157838


Polara 2p 4/08
PFB
−0.620696
−3.52E−12
−1.3E−06
0.965054
1.2E−06
0.043268


Titleist ProV1
na
−0.632946
2.37E−12
7.04E−07
0.761151
−7.41E−07
0.195108


2-9-121909
PFB
−0.822987
1.57E−13
2.61E−06
0.509
−4.46E−07
0.224937


2-9-121909
PH
2.145845
−3.66E−12
−8.88E−07
−0.110029
1.14E−06
0.130302


TopFlite XL-Str
NA
−0.373608
−1.38E−12
1.85E−07
0.663666
3.5E−07
0.14574









As can be determined from FIGS. 14 to 17, the lift coefficient for balls 25-1, 28-1 and 2-9 in a pole horizontal (PH) orientation is between 0.10 and 0.14 at a Reynolds number (Re) of 180,000 and a spin rate of 3,500 rpm, and between 0.14 and 0.20 at a Re of 120,000 and spin rate of 3,500, which is less than the CL of the other three tested balls (Polara 2p 0408 PH and PFB, Titleist ProV1 and TopFlite XL random orientation). The lift coefficient or CL of the 28-1, 25-1 and 2-9 balls in a PH orientation at a spin rate of 4,500 rpm is between 0.13 and 0.16 at an Re of 180,000 and between 0.17 and 0.25 at an Re of 120,000, as seen in FIG. 15. Drag Coefficients (CD) for the 28-1, 2-9 and 25-1 balls in PH orientation at a spin rate of 3,500 rpm are between 0.23 and 0.26 at an Re of 150,000 and between about 0.24 and 0.27 at an Re of 120,000 as illustrated in FIG. 16. CDs for the same balls at a spin rate of 4,500 rpm (FIG. 17) are about 0.28 to 0.29 at an Re of 120,000 and about 0.23 to 0.26 at an Re of 180,000.


Under typical slice conditions, with spin rates of 3,000 rpm or greater, the 2-9, 25-1, 28-1 in PH orientation and the Polara 2p in PFB orientation exhibit lower lift coefficients than the commercial balls: ProV1 and TopFlite XL Straight. Lower lift coefficients translate into lower trajectory for straight shots and less dispersion for slice shots. Balls with dimple patterns 2-9, 25-1, 28-1 in PH orientation have approximately 10-40% lower lift coefficients than the ProV1 and TopFlite XL Straight under Re and spin conditions characteristics of slice shots.


Tables 15-17 are the Trackman Report from the Robot Test. The robot was set up to hit a slice shot with a club path of approximately 7 degrees outside-in and a slightly opened club face. The club speed was approximately 98-100 mph, initial ball spin ranged from about 3,800-5,200 rpm depending on ball construction and the spin axis was approximately 13-21 degrees,



















TABLE 15












Vert.
Horiz.








Club
Attack
Club
Swing
Swing
Dyn.
Face


Shot
Ball ID w


Speed
Angle
Path
Plane
Plane
Loft
Angle


No
Orientation
ball Design
orient
[mph]
[deg]
[deg]
[deg]
[deg]
[deg]
[deg]

























153
903PH
2-9
H
95.8
−6.1
−6.8
55.7
−11.0
10.5
−4.6


156
902PH
2-9
H
95.1
−6.6
−6.9
55.9
−11.4
10.7
−3.3


158
908PH
2-9
H
99.1
−6.1
−7.0
56.7
−11.0
10.5
−3.7


173
908H
2-9
H
101.9
−6.5
−7.3
56.7
−11.6
10.2
−4.2


175
907H
2-9
H
99.7
−5.5
−7.6
56.4
−11.2
10.4
−3.5


179
902H
2-9
H
96.7
−5.6
−6.5
56.9
−10.2
10.3
−4.4


185
907H
2-9
H
98.7


191
908H
2-9
H
98.2
−5.9
−7.7
54.9
−11.8
9.8
−3.7


155
904POP
2-9
POP
96.8
−5.7
−7.6
55.6
−11.5
10.2
−4.0


157
906POP
2-9
POP
99.2
−6.0
−7.7
55.4
−11.8
10.6
−4.6


159
905POP
2-9
POP
98.9
−5.6
−7.7
55.5
−11.5
10.3
−5.0


177
902POP
2-9
POP
98.8
−5.2
−6.8
57.3
−10.1
10.1
−3.9


178
906POP
2-9
POP
99.4
−6.0
−7.6
55.0
−11.8
10.3
−3.7


187
901POP
2-9
POP
98.5
−5.9
−7.8
55.3
−11.8
10.2
−2.7


188
906POP
2-9
POP
101.1
−6.4
−7.4
54.0
−12.1
10.2
−4.5


196
904POP
2-9
POP


142
505PH
25-1
H
100.1
−6.6
−7.7
54.4
−12.5
10.9
−4.0


143
502PH
25-1
H


145
506PH
25-1
H
100.3
−5.6
−8.0
55.8
−11.8
10.7
−3.4


149
501PH
25-1
H
98.9
−5.7
−7.5
56.2
−11.3
10.3
−4.9


160
502H
25-1
H
100.0
−6.0
−7.7
55.2
−11.8
10.7
−4.1


163
506H
25-1
H


165
501H
25-1
H
99.0
−5.7
−7.8
55.9
−11.7
10.1
−4.7


170
505H
25-1
H
100.7
−5.3
−7.9
55.7
−11.5
10.2
−4.3


184
506H
25-1
H
98.8
−5.6
−7.7
55.6
−11.5
10.3
−3.3


186
502H
25-1
H
99.1
−5.7
−7.9
54.7
−11.9
10.4
−4.1


193
502H
25-1
H
98.7
−5.8
−7.5
55.0
−11.6
10.0
−4.3


197
501PH
25-1
H


224
516H
25-1
H
99.0
−5.7
−7.6
55.4
−11.5
10.5
−4.4


192
503PFB
25-1
PFB
99.6
−5.7
−7.9
54.6
−11.9
10.3
−4.6


141
503POP
25-1
POP
98.9
−5.8
−7.7
56.2
−11.6
11.0
−3.1


144
505POP
25-1
POP
98.8
−5.7
−7.8
55.8
−11.7
11.1
−3.3


150
508POP
25-1
POP
98.8
−5.6
−7.9
56.3
−11.6
10.3
−3.1


151
507POP
25-1
POP
98.9
−5.7
−7.8
55.9
−11.7
11.2
−3.3


161
508POP
25-1
POP
99.5
−5.5
−7.9
54.8
−11.8
10.1
−4.3


162
507POP
25-1
POP
99.1
−5.5
−7.6
55.4
−11.4
10.7
−4.2


166
504POP
25-1
POP
99.0
−5.6
−7.8
55.9
−11.6
10.9
−3.5


171
503POP
25-1
POP
99.0
−5.7
−7.8
56.3
−11.6
10.9
−4.1


182
504P
25-1
POP
98.9
−5.8
−7.8
55.3
−11.8
10.5
−3.4


183
507POP
25-1
POP
98.9
−5.7
−7.8
55.8
−11.7
10.2
−3.5


189
508POP
25-1
POP
99.1
−5.7
−7.5
54.7
−11.6
10.7
−3.3


169
802F
28-1
F
98.3
−5.1
−8.2
56.4
−11.6
10.6
−3.4


231
814F
28-1
F
98.9
−5.7
−7.8
56.0
−11.7
10.9
−3.5


146
803PH
28-1
H
99.2
−5.8
−7.9
56.0
−11.8
10.7
−3.2


167
803H
28-1
H
99.0
−5.4
−7.6
56.0
−11.3
10.4
−3.8


195
803H
28-1
H
98.8
−5.6
−7.7
55.6
−11.5
8.8
−4.0


199
812H
28-1
H
98.8
−6.2
−7.4
54.5
−11.8
9.4
−3.8


208
815H
28-1
H
98.8
−5.9
−7.5
54.9
−11.7
10.5
−4.0


233
811H
28-1
H
99.3
−6.1
−7.4
55.8
−11.6
11.1
−3.6


194
801PFB
28-1
PFB
98.7
−5.5
−7.9
55.0
−11.7
10.4
−4.0


147
802POP
28-1
POP


148
801POP
28-1
POP
98.8
−5.7
−7.9
56.0
−11.8
10.9
−3.4


164
801POP
28-1
POP
97.6
−6.5
−7.1
55.0
−11.6
10.8
−4.0


181
802POP
28-1
POP
98.5
−5.2
−8.0
56.2
−11.5
10.4
−2.7


205
V140
Titleist ProV1
na
98.8
−5.7
−7.5
54.7
−11.6
10.2
−4.4


212
V92
Titleist ProV1
na
98.8
−5.6
−7.7
54.7
−11.6
10.4
−4.5


219
V95
Titleist ProV1
na
99.3
−5.8
−7.5
54.4
−11.7
10.4
−4.6


237
V76
Titleist ProV1
na
98.9
−6.1
−8.1
54.9
−12.4
10.6
−3.5


241
V180
Titleist ProV1
na
97.6
−5.7
−7.0
56.5
−10.8
11.0
−4.4


243
V97
Titleist ProV1
na
99.3
−5.6
−7.8
56.1
−11.5
10.5
−4.2


198
224
TopFlite XL Straight
na
99.3
−6.3
−7.0
53.4
−11.7
10.3
−4.7


207
225
TopFlite XL Straight
na
98.7
−6.1
−7.6
55.3
−11.8
10.4
−3.6


215
223
TopFlite XL Straight
na
96.5
−5.2
−7.6
56.5
−11.0
10.4
−4.2


222
227
TopFlite XL Straight
na
98.8
−6.2
−6.9
54.1
−11.4
10.2
−4.7


236
185
TopFlite XL Straight
na
98.8
−4.6
−8.7
56.1
−11.8
10.2
−3.3


248
222
TopFlite XL Straight
na
98.9
−7.0
−6.5
56.1
−11.2
10.8
−3.6



























TABLE 16






Ball
Smash
Vert.
Horiz.
Drag
Lift
Spin
Spin
Max
Max
Max


Shot
Speed
factor
Angle
Angle
Coef.
Coef.
Rate
Axis
Height x
Height y
Height z


No
[mph]
[ ]
[deg]
[deg]
[ ]
[ ]
[rpm]
[deg]
[yds]
[yds]
[yds]


























153
142.8
1.49
7.6
5.0L
0.26
0.19
4212
21.0
129.9
17.6
0.5L


156
141.2
1.48
8.0
4.0L
0.24
0.16
4048
12.6
129.4
15.9
3.9L


158
141.8
1.43
7.8
4.3L
0.23
0.15
4013
16.1
132.1
15.7
3.5L


173
143.3
1.41
7.4
4.6L
0.27
0.21
4105
19.7
132.6
20.3
2.6R


175
142.0
1.42
7.4
4.4L
0.26
0.18
4459
16.9
132.3
18.1
0.1L


179
141.4
1.46
7.5
5.1L
0.24
0.16
4017
19.3
128.3
15.2
3.0L


185
141.3
1.43
7.7
3.9L
0.25
0.16
3922
16.4
126.7
15.1
2.2L


191
142.5
1.45
7.3
4.3L
0.26
0.17
3899
18.4
131.4
17.1
0.8R


155
143.0
1.48
7.1
4.7L
0.29
0.22
4472
22.1
128.2
19.7
4.9R


157
143.0
1.44
7.9
5.1L
0.28
0.20
3943
22.4
127.6
19.8
3.6R


159
142.4
1.44
7.5
5.5L
0.26
0.21
4063
23.0
130.0
19.7
3.9R


177
142.6
1.44
7.2
4.5L
0.29
0.22
4246
16.9
132.5
22.2
3.5R


178
143.6
1.44
7.3
4.5L
0.30
0.22
4410
23.6
127.8
19.6
6.3R


187
142.0
1.44
7.5
3.6L
0.28
0.21
4142
14.9
136.7
21.9
2.2R


188
142.8
1.41
7.4
5.0L
0.29
0.22
3974
21.2
132.5
22.7
6.4R


196
141.8

7.2
4.4L
0.28
0.23
4190
22.0
131.6
22.5
9.9R


142
144.7
1.45
7.5
4.9L
0.26
0.15
5019
16.0
124.4
14.7
4.1L


143
146.5

7.4
4.3L
0.26
0.16
4903
16.4
127.4
15.7
1.8L


145
146.0
1.46
7.4
4.4L
0.25
0.16
5020
18.7
128.3
15.5
1.8L


149
146.6
1.48
7.2
5.5L
0.27
0.19
4929
16.9
137.1
20.8
0.7L


160
145.5
1.46
7.7
4.9L
0.26
0.14
4644
13.5
122.2
14.3
5.5L


163
145.8

7.1
4.6L
0.25
0.15
4930
16.9
125.6
13.9
3.4L


165
147.0
1.49
7.1
5.4L
0.26
0.18
4717
17.6
139.0
19.7
2.1L


170
146.2
1.45
7.0
5.2L
0.26
0.16
4962
16.2
127.6
15.0
3.7L


184
145.7
1.47
7.0
4.5L
0.27
0.15
4926
15.9
122.4
14.0
2.9L


186
146.1
1.47
7.3
5.0L
0.26
0.14
4628
11.2
119.9
13.4
6.5L


193
146.8
1.49
6.8
5.0L
0.29
0.18
4775
17.7
130.0
17.0
2.1L


197
145.6

7.1
4.9L
0.26
0.17
4612
16.0
135.3
18.4
0.5L


224
146.6
1.48
7.2
5.4L
0.29
0.16
4816
16.5
125.4
15.7
4.7L


192
145.7
1.46
7.0
5.3L
0.29
0.20
4834
16.5
133.2
21.4
1.8R


141
146.9
1.48
7.5
4.1L
0.31
0.21
5169
18.0
132.5
22.1
3.8R


144
145.9
1.48
7.8
4.2L
0.28
0.20
4897
17.6
133.5
21.5
4.0R


150
147.0
1.49
7.1
4.2L
0.30
0.21
4938
14.5
133.5
22.0
1.5R


151
146.1
1.48
7.8
4.4L
0.28
0.19
5122
14.7
134.7
21.2
0.4L


161
146.0
1.47
6.9
5.1L
0.28
0.20
4813
21.3
133.7
19.3
2.4R


162
146.4
1.48
7.3
5.0L
0.29
0.21
5020
17.2
134.5
21.4
1.0R


166
146.8
1.48
7.6
4.6L
0.30
0.20
4993
11.8
133.3
21.6
0.5L


171
147.1
1.48
7.6
4.9L
0.29
0.21
5069
18.9
133.7
21.8
2.9R


182
146.3
1.48
7.3
4.3L
0.28
0.20
4779
19.5
135.3
21.3
6.8R


183
146.1
1.48
7.1
4.3L
0.30
0.21
4871
13.9
136.3
22.8
1.6R


189
145.5
1.47
7.6
4.4L
0.29
0.19
4573
12.5
129.4
19.4
1.9L


169
145.8
1.48
6.9
4.7L
0.31
0.21
5582
20.8
129.5
20.2
5.6R


231
147.2
1.49
7.4
4.5L
0.32
0.22
5353
15.2
130.3
23.5
1.8R


146
146.7
1.48
7.5
4.2L
0.27
0.15
4996
15.1
120.5
14.1
3.5L


167
146.1
1.48
7.3
4.8L
0.28
0.14
4786
16.7
114.3
12.8
4.2L


195
145.6
1.47
7.4
4.5L
0.28
0.14
4612
17.0
109.2
11.8
3.7L


199
145.5
1.47
8.0
4.3L
0.29
0.14
4513
9.8
114.1
13.8
5.6L


208
146.6
1.48
7.3
4.9L
0.29
0.15
4960
12.6
117.0
14.0
5.5L


233
146.5
1.48
7.6
4.5L
0.30
0.16
5181
16.7
119.7
15.1
3.1L


194
146.8
1.49
7.0
4.9L
0.32
0.22
5172
14.7
129.9
23.1
1.4R


147
146.8

7.2
4.0L
0.30
0.19
5045
15.0
132.8
20.3
1.2R


148
146.8
1.49
7.6
4.3L
0.29
0.20
4915
19.8
133.9
21.2
5.5R


164
146.6
1.50
7.5
4.6L
0.28
0.18
4812
15.8
134.9
19.1
0.0R


181
145.4
1.48
7.2
3.8L
0.28
0.19
4748
16.9
131.9
18.8
2.4R


205
144.9
1.47
7.3
5.0L
0.27
0.22
4388
16.6
143.1
26.0
5.2R


212
145.3
1.47
7.3
5.1L
0.28
0.22
4618
15.1
142.7
26.6
3.3R


219
145.1
1.46
7.3
5.2L
0.30
0.23
4534
14.1
139.0
26.4
0.3R


237
145.9
1.48
7.7
4.3L
0.29
0.23
4400
14.3
140.8
28.1
5.5R


241
144.7
1.48
7.9
5.0L
0.29
0.22
4546
18.4
141.3
27.0
8.5R


243
145.4
1.46
7.3
5.0L
0.30
0.24
4834
17.8
139.3
28.0
8.0R


198
145.0
1.46
7.6
5.1L
0.28
0.22
3925
16.4
139.6
26.1
3.3R


207
145.4
1.47
7.6
4.3L
0.29
0.21
4254
14.6
138.9
24.7
4.4R


215
144.5
1.50
7.4
4.9L
0.30
0.23
4412
17.5
139.7
26.4
6.0R


222
145.3
1.47
7.3
5.2L
0.29
0.23
4362
13.3
140.0
27.3
1.0R


236
145.0
1.47
7.4
4.5L
0.29
0.23
4523
13.0
142.9
27.8
4.2R


248
145.3
1.47
7.9
4.1L
0.30
0.24
4424
12.0
138.7
31.0
4.5R





























TABLE 17










Spin




Vert.
Ball
Spin
Flight


Shot
Length
X
Side
Height
Rate
Time
Length
X
Side
Angle
Speed
Rate
Time


No
[yds]
[yds]
[yds]
[yds]
[rpm]
[s]
[yds]
[yds]
[yds]
[deg]
[mph]
[rpm]
[s]




























153
198.4
198.3
5.6R
−0.2

5.13
198.1
198.0
5.5R
−31.3
59.7

5.12


156
203.3
203.3
1.1L
−0.3

5.05
202.8
202.8
1.2L
−27.4
60.0

5.02


158
204.4
204.4
1.7L
−0.2
3180
5.08
204.1
204.1
1.7L
−27.7
59.5
3182
5.07


173
197.6
197.3
10.7R
−0.3
3292
5.35
197.2
196.9
10.7R
−36.1
59.2
3295
5.33


175
197.3
197.2
6.7R
−0.2

5.30
197.0
196.9
6.6R
−33.2
56.9

5.28


179
201.6
201.6
0.7R
−0.2

4.90
201.2
201.2
0.7R
−26.1
63.2

4.89


185
194.3
194.3
0.4R
−0.1

4.88
194.1
194.1
0.4R
−28.2
60.2

4.87


191
190.6
190.4
8.3R
−0.1
3076
5.19
190.6
190.4
8.3R
−35.3
54.4
3076
5.19


155
189.7
188.8
18.3R
0.2
3714
5.21
190.0
189.1
18.3R
−36.1
58.8
3713
5.23


157
191.1
190.2
17.6R
−0.3
3164
5.18
190.7
189.9
17.5R
−35.3
60.2
3166
5.17


159
190.1
189.0
20.2R
0.0
3247
5.17
190.1
189.0
20.2R
−36.6
60.5
3247
5.17


177
191.7
191.2
14.6R
−0.5
3397
5.53
191.2
190.6
14.5R
−41.0
58.3
3401
5.50


178
190.6
189.4
21.2R
0.1
3598
5.21
190.8
189.6
21.3R
−35.5
58.5
3597
5.21


187
198.5
198.2
10.8R
−0.4
3262
5.72
198.1
197.8
10.7R
−40.7
54.1
3264
5.70


188
187.2
185.9
22.1R
0.0
3116
5.65
187.2
185.9
22.1R
−43.9
53.8
3115
5.65


196
186.2
184.0
28.2R
0.2

5.65
186.4
184.2
28.3R
−43.3
54.3

5.66


142
192.7
192.7
1.4L
−0.2

4.80
192.3
192.3
1.4L
−27.0
59.7

4.78


143
195.0
194.9
4.0R
−0.3

4.91
194.4
194.4
3.9R
−28.8
59.6

4.89


145
196.9
196.8
2.8R
−0.2

4.93
196.4
196.4
2.7R
−28.1
59.4

4.91


149
199.0
198.9
6.8R
−0.3
3934
5.56
198.6
198.5
6.8R
−37.7
56.4
3936
5.54


160
192.6
192.6
4.9L
−0.2
3702
4.68
192.3
192.2
4.9L
−25.6
61.8
3704
4.66


163
196.3
196.3
0.1L
−0.2

4.74
195.9
195.9
0.2L
−25.2
60.6

4.73


165
203.3
203.3
2.3R
−0.5
3709
5.60
202.7
202.7
2.3R
−36.1
53.7
3712
5.57


170
196.4
196.4
0.5R
−0.2
3956
4.85
196.0
196.0
0.5R
−27.3
60.5
3958
4.83


184
188.8
188.8
0.3R
−0.2

4.68
188.5
188.5
0.3R
−26.7
58.5

4.67


186
189.2
189.1
7.2L
−0.3
3703
4.50
188.6
188.4
7.3L
−25.0
62.4
3707
4.48


193
192.8
192.8
1.3R
−0.2

5.19
192.5
192.5
1.2R
−33.3
53.4

5.18


197
190.8
190.7
6.8R
−0.2
3587
5.54
190.6
190.4
6.7R
−39.4
49.9
3588
5.53


224
189.9
189.8
4.2L
−0.2
3777
5.00
189.5
189.5
4.2L
−30.9
53.1
3779
4.98


192
187.0
186.3
16.0R
−0.5
3777
5.70
186.5
185.8
15.8R
−43.2
50.7
3781
5.67


141
195.0
194.3
16.7R
−0.2
4093
5.63
194.8
194.1
16.6R
−38.6
55.5
4095
5.62


144
196.4
195.5
19.0R
0.4
3950
5.58
197.0
196.1
19.1R
−37.0
54.4
3948
5.60


150
198.0
197.6
12.6R
−0.5
3920
5.58
197.4
197.0
12.5R
−37.6
56.8
3925
5.55


151
201.0
200.8
8.1R
−0.4
4011
5.65
200.4
200.3
8.0R
−36.6
53.6
4016
5.62


161
196.3
195.8
14.7R
−0.3
3854
5.38
195.9
195.3
14.6R
−35.2
56.8
3856
5.36


162
200.6
200.3
10.4R
−0.4
4008
5.52
200.0
199.8
10.3R
−36.3
58.0
4011
5.50


166
196.2
195.9
9.7R
−0.3
3934
5.62
195.8
195.6
9.6R
−38.4
53.4
3936
5.60


171
200.0
199.4
16.0R
−0.3
4006
5.54
199.7
199.0
16.0R
−37.1
56.3
4009
5.53


182
192.9
191.3
25.5R
0.4
3714
5.69
193.4
191.6
25.7R
−40.1
51.7
3710
5.72


183
193.3
192.9
12.9R
−0.3
3829
5.79
193.0
192.6
12.8R
−42.8
53.8
3831
5.77


189
189.4
189.3
4.9R
−0.1
3545
5.41
189.3
189.2
4.9R
−38.1
49.9
3546
5.40


169
188.3
186.9
22.4R
0.4
4376
5.46
188.8
187.4
22.6R
−37.7
52.7
4371
5.48


231
183.7
183.3
12.7R
−0.2
4123
5.91
183.5
183.1
12.7R
−46.6
46.7
4124
5.90


146
188.9
188.9
1.6L
−0.2
3978
4.55
188.4
188.4
1.7L
−26.2
61.5
3981
4.54


167
178.8
178.7
3.1L
0.2
3846
4.29
179.1
179.1
3.1L
−25.3
61.2
3844
4.30


195
171.5
171.5
1.5L
0.1

4.10
171.7
171.7
1.5L
−24.5
60.5

4.11


199
176.1
175.9
8.1L
0.0
3524
4.49
176.0
175.8
8.1L
−28.8
54.9
3524
4.49


208
178.2
178.1
6.1L
−0.1
3935
4.56
178.2
178.1
6.1L
−29.6
55.2
3935
4.56


233
180.1
180.1
1.0L
0.0

4.75
180.1
180.1
1.0L
−31.9
53.0

4.75


194
185.0
184.6
12.4R
−0.3
4020
5.77
184.7
184.3
12.3R
−44.2
49.7
4023
5.76


147
197.9
197.5
11.8R
−0.6
3957
5.57
197.1
196.7
11.6R
−36.2
53.7
3964
5.53


148
195.7
194.5
21.9R
0.2
3655
5.58
195.9
194.7
22.0R
−38.6
53.2
3652
5.59


164
200.5
200.1
11.7R
−0.4
3760
5.51
199.8
199.5
11.6R
−34.9
53.1
3764
5.48


181
193.3
192.7
14.9R
−0.4
3725
5.41
192.8
192.2
14.8R
−36.1
52.8
3728
5.39


205
198.6
197.6
20.5R
1.6

6.30
200.1
199.0
20.8R
−48.1
47.3

6.40


212
195.9
195.0
18.9R
1.3
3740
6.39
197.1
196.1
19.3R
−47.9
47.8
3731
6.46


219
195.9
195.7
9.2R
−0.3
3695
6.31
195.7
195.5
9.2R
−46.9
48.9
3697
6.29


237
192.8
191.8
19.6R
5.4
3590
6.12
197.8
196.7
20.9R
−48.5
49.9
3547
6.43


241
195.1
193.2
27.4R
0.2
3680
6.46
195.3
193.4
27.4R
−49.8
48.3
3679
6.47


243
184.6
183.1
23.4R
7.8

6.02
191.1
189.4
25.4R
−52.4
47.1

6.48


198
195.3
194.6
16.1R
0.0
3231
6.24
195.3
194.6
16.1R
−47.0
50.0
3231
6.24


207
197.7
196.5
21.1R
0.2

6.24
197.9
196.8
21.1R
−43.5
48.4

6.25


215
194.8
193.5
22.2R
−0.6
3582
6.32
194.3
193.1
22.0R
−48.6
50.8
3585
6.29


222
195.7
195.3
12.5R
−0.4
3564
6.41
195.3
195.0
12.4R
−48.4
49.3
3566
6.39


236
199.5
198.4
20.6R
0.5
3622
6.51
199.9
198.9
20.8R
−48.0
48.4
3618
6.54


248
191.2
190.3
18.5R
0.1
3613
6.60
191.3
190.4
18.5R
−51.4
50.9
3612
6.61









The non-conforming golf balls described above which have dimple patterns including areas of less dimple volume along at least part of a band around the equator and more dimple volume in the polar regions have a large enough moment of inertia (MOI) difference between the poles horizontal (PH) or maximum orientation and other orientations that the ball has a preferred spin axis extending through the poles of the ball. As described above, this preferred spin axis helps to prevent or reduce the amount of hook or slice dispersion when the ball is hit in a way which would normally produce hooking or slicing in a conventional, symmetrically designed golf ball. This reduction in dispersion is illustrated for the embodiments described above in FIG. 10 and for some of the embodiments in FIG. 12. Although a preferred spin axis may alternatively be established by placing high and low density materials in specific locations within the core or intermediate layers of a golf ball, such construction adds cost and complexity to the golf ball manufacturing process. In contrast, balls having the different dimple patterns described above can be readily manufactured by suitable design of the hemispherical mold cavities, for example as illustrated in FIG. 3 for a 2-9 ball.


Although the illustrated embodiments all have reduced dimple volume in a band around the equator as compared to the dimple volume in the polar regions, other dimple patterns which generate preferred spin axis may be used in alternative embodiments to achieve similar results. For example, the low volume dimples do not have to be located in a continuous band around the ball's equator. The low volume dimples could be interspersed with larger volume dimples about the equator, the band could be wider in some parts of the circumference than others, part of the band could be dimpleless around part or all of the circumference, or there may be no dimples at all around the equatorial region. Another embodiment may comprise a dimple pattern having two or more regions of lower or zero dimple volume on the surface of the ball, with the regions being somewhat co-planar. This also creates a preferred spin axis. In one example, if the two areas of lower volume dimples are placed opposite one another on the ball, then a dumbbell-like weight distribution is created. This results in a ball with a preferred spin axis equal to the orientation of the ball when rotating end-over-end with the “dumbbell” areas.


Although the dimples in the embodiments illustrated in FIGS. 1 to 8 and described above are all circular dimples, it will be understood that there is a wide variety of types and construction of dimples, including non-circular dimples, such as those described in U.S. Pat. No. 6,409,615, hexagonal dimples, dimples formed of a tubular lattice structure, such as those described in U.S. Pat. No. 6,290,615, as well as more conventional dimple types. It will also be understood that any of these types of dimples can be used in conjunction with the embodiments described herein. As such, the term “dimple” as used in this description and the claims that follow is intended to refer to and include any type or shape of dimple or dimple construction, unless otherwise specifically indicated.


The above description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the generic principles described herein can be applied to other embodiments without departing from the spirit or scope of the invention. Thus, it is to be understood that the description and drawings presented herein represent a presently preferred embodiment of the invention and are therefore representative of the subject matter which is broadly contemplated by the present invention. It is further understood that the scope of the present invention fully encompasses other embodiments that may become obvious to those skilled in the art and that the scope of the present invention is accordingly limited by nothing other than the appended claims.

Claims
  • 1. A golf ball having an outer surface, an equator and two poles, and a plurality of dimples formed on the outer surface of the ball, the outer surface comprising one or more first areas which include a plurality of first dimples which together have a first dimple volume and at least one second area having a dimple volume less that the first dimple volume, the first and second areas being configured to establish a preferred spin axis such that the golf ball exhibits a drag coefficient of less than about 0.30 at a Reynolds number of about 120,000 and of less than about 0.26 at a Reynolds number of about 180,000 when the ball is spinning around its preferred spin axis with a spin rate of about 4,500 rpm or greater.
  • 2. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is below about 0.29 at a Reynolds number of about 130,000 and a spin rate of about 4,500 rpm.
  • 3. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is below about 0.28 at a Reynolds number of about 140,000 and a spin rate of about 4,500 rpm.
  • 4. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is below about 0.27 at a Reynolds number of about 150,000 and a spin rate of about 4,500 rpm.
  • 5. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is below about 0.27 at a Reynolds number of about 160,000 and a spin rate of about 4,500 rpm.
  • 6. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is below about 0.26 at a Reynolds number of about 170,000 and a spin rate of about 4,500 rpm.
  • 7. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is above about 0.28 at a Reynolds number of about 120,000 and a spin rate of about 4,500 rpm.
  • 8. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is above about 0.27 at a Reynolds number of about 130,000 and a spin rate of about 4,500 rpm.
  • 9. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is above about 0.26 at a Reynolds number of about 140,000 and a spin rate of about 4,500 rpm.
  • 10. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is above about 025 at a Reynolds number of about 150,000 and a spin rate of about 4,500 rpm.
  • 11. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is above about 0.24 at a Reynolds number of about 160,000 and a spin rate of about 4,500 rpm.
  • 12. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is above about 0.23 at a Reynolds number of about 170,000 and a spin rate of about 4,500 rpm.
  • 13. The golf ball of claim 1, wherein the drag coefficient when the golf ball is spinning around its preferred spin axis is above about 0.23 at a Reynolds number of about 180,000 and a spin rate of about 4,500 rpm.
  • 14. The golf ball of claim 1, wherein the first and second areas define a non-conforming dimple pattern.
RELATED APPLICATIONS INFORMATION

This application claims the benefit under §119(e) of U.S. Provisional Application Ser. No. 61/328,927 filed Apr. 28, 2010 and entitled “Nonconforming Anti-Slice Ball,” which is incorporated herein by reference in its entirety as if set forth in full.

Provisional Applications (1)
Number Date Country
61328927 Apr 2010 US