Our Universe opens with pi and the other primary irrational numbers, dimensionless constants, and the Planck base units.

Image of abstract geometric shapes representing continuity, symmetry, and harmony in a mathematical model of the universe.
A cosmic representation highlighting hyper-rationality, featuring spheres, octahedrons, and hexagonal plates, depicting continuity, symmetry, and harmony in an expansive geometric model of the universe.

PERFECTION STUDIES: CONTINUITY•SYMMETRY•HARMONY GOALS March.2023
PAGES: Breakthrough! |.Paradigm Shift | Big Ideas | Symphony of Universe

Pi π (e, √2, φ) opens diversity and complexity.
by Bruce E. Camber, Initiated: May 8, 2021 Most recent update: 14 April 8, 2025

Pi (π) is a numerically-rich, universally-engaged, geometric, mathematical constant; it is never-ending with never-repeating patterns, scale-invariant, irrational, and transcendental. Its very essence inculcates continuity (numbers), symmetry (geometry) and harmony (dynamics). It is the face of the finite and the perfection of the infinite. All these qualities are among the most fundamental processes that define our universe.

Pi (π) is most-known as the ratio of the circle’s circumference to its diameter. Yet, we all know that it’s much more.

Pi (π) is the oldest, most-used, mathematical constant, and the basis for equations describing fundamental principles of our universe. That includes automorphic forms, eigenvalues, Fourier series of periodic functions, group homomorphisms, asymptotic distribution of the prime numbers; harmonic oscillators; modular forms and theta functions, holomorphic functions and Jacobi theta function; Heisenberg’s uncertainty principle, orthopositronium, modulus of elasticity, area moment of inertia, spherical coordinate systems (pendulum), fractals (Mandelbrot set), linear complex structure, conjugate harmonic functions, Shannon entropy, Cauchy distribution… and more.

People rightly believe that pi touches many facets of our life. Yet, it should be taken further. It touches all facets of our life. The most unexamined role of pi is her active definition with continuity, symmetry, and harmony, and those qualities define the infinite and pre-condition the finite, everything, everywhere for all time. – BEC

This working statement above is a description of the essential nature of pi; and pi tells us that it is also a description of the essential nature of the universe. Even at that, this statement is a human construction so it is always subject to change.

There are a total of nine other secondary pages, five to start and four to grow.

Other discussions were written for Pi Day, I.e. http://81018.com/challenge/

However, the very nature of pi (π) and spheres has been a constant discussion since this website began taking shape in December 2011 in a New Orleans high school.

Other pages about pi (π) include: (1) https://81018.com/as-above-so-below/ (August 2022), (2).https://81018.com/π/ (2018), (3).https://81018.com/instance/, (4).https://81018.com/pi/, (5).https://81018.com/sphere/, (6).https://81018.com/perfection/, (7).https://81018.com/csh/, (8).https://81018.com/pi-today/, (9) https://81018.com/simple/, (10).81018.com/pointing/ and (11).https://81018.com/continuity-symmetry-harmony/ (March 2023).

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The URL for this page is: https://81018.com/starts-2/
The URL for the prior page is: https://81018.com/starts-1/
The URL for the next page is: https://81018.com/starts-3/
The URL for the source page is: https://81018.com/starts-original/
The 2023 version of the homepage is: https://81018.com/starts/

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