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Circumference to diameter ratio-proportion: the parsimony and design elegance of nominating 3.12 as the exact value of the “pi” numerical constant common to algebra and geometry of the planar surface

Author: 
Mr. Dr. Karan R Gregg Aggarwala
Subject Area: 
Social Sciences and Humanities
Abstract: 

The periodic table of the chemical elements was most intuitively understood and, perhaps most universally accessible to innovators when atoms were classified as triads of elements adjacent by atomic weight. Such classification depicts and reveals underlying order in the physical world: with concepts such as Design Elegance and Parsimony of Mathematical Equations having been widely spoken of by eminent physicists. To designate and nominate a numerical value of 3.12 arc radians as the exact value of the Circumference to Diameter ratio-proportion of a closed contour (“pi”) could be a manifest travesty against mathematical exactitude: But only if adequate justification were not provided. The message of this written communication is that on account of hidden variables, the uncertain derivations that our best of science can infer about any cosmological constant: such “nominated” numerical value of pi = 3.12 falls clearly within the bounds of reasoning and approximation. Furthermore, designating such 2-decimal value for “pi” might not compromise critical applications such as planning trajectory for navigation to planetary bodies of our solar system, and as well, to local stellar objects of our Milky Way Galaxy. The gains in computational speed from simplifying computer code to faster process 2 places of decimal compared to floating points of several hundred places of decimal would be significant. Also, the natural advantage that ensues from 3.12 is that polar geometry representation is enabled for the paper napkin: with a simple scientific calculator of year 1985 vintage. The author takes this opportunity to introduce the geography and history relevant to contextual understanding of circular and spiral geometry and measurement.

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