The basics of pi

Pi: The ratio of the circle’s circumference to its diameter is the oldest, most-used, never-ending, never-repeating, mathematical constant, and transcendental-and-irrational number. It is the basis for most equations describing a fundamental principle of our universe, including automorphic forms, eigenvalues, Fourier series of periodic functionsgroup homomorphismsasymptotic distribution of the prime numbers; harmonic oscillators; modular forms and theta functions; holomorphic functions and Jacobi theta functionHeisenberg’s uncertainty principleorthopositroniummodulus of elasticityarea moment of inertia,  spherical coordinate systems (pendulum), fractals (Mandelbrot set), linear complex structure, conjugate harmonic functionsShannon entropy, Cauchy distribution, and that list goes on. People rightly believe that pi touches many facets of our life. Yet, I’ll take it further and say, “It touches all facets of our life.” The most unexamined role of pi is her active definition of continuity, symmetry, and harmony, and those qualities define the infinite and pre-condition the finite, everything, everywhere for all time.

This file is referenced from the following pages:

Also, see: Undeveloped — the horizontal chart where Notations 116-and-117 provide touchpoints to things around the size of a range human beings (1.34 – 2.68 meters).