Why the Golden Ratio Selects the Prime Three
There is a machine hiding inside long division. It unzips every number you feed it.
Alex Petty
Long Division and Euclid's Lemma
The digit function is the engine of everything that follows.
The Effect of Base on Numeric Fields
Complement symmetry is base-independent.
Geometries Hidden in the Number System
Field glyphs reveal three categories of number.
The Golden Ratio
Self-reference in phi, prefiguring the selection of 3.
Arithmetic Foundations
Palindromic oscillation and the complement map.
Foundational Tables of Multiplication
Mirror symmetry in multiplication on the circle.
On Numeric Polarity and the Distribution of Primes
The circle of nine and the first structural picture of primes.