Software can be developed in which a square (or rectangle)—which has a definite and easily calculated diameter—could be changed into a circle—perhaps yielding a definite number for the circumference. This would also provide clues to a better equation or even one with a precise answer that would not use pi.
I suggested in my patent application for sub-integer engineering that a different numeric system might be used for an equation to calculate the circumference of a circle, the area of a circle, the volume of a sphere, the surface area of a sphere, and for formulae for other geometric, mathematical, and statistical uses. Pi has been calculated beyond a trillion decimal points, but that is of little use to engineers. A precise formula for circumference and for the other uses would lead to cost efficiencies in engineering as well as reduce product breakdowns through imprecision. Perhaps the super-computers stop whirring to find the possible endpoint of pi, and a search using computer software to “circle the square” or to find new formulae would be mounted instead by top software developers and mathematicians.