Mission

geometor.wildberger fulfills a foundational algebraic mission within the GEOMETOR ecosystem:

1. Unite Constructive Geometry with Rational Trigonometry: Since its inception, geometor.model has represented points, lines, and circles in exact SymPy symbolic algebra rather than floating-point approximations. Norman J. Wildberger’s Divine Proportions (Wildberger2005) reveals why geometry wants to be polynomial: replacing distance and angle with quadrance and spread eliminates unnecessary radicals and transcendental functions from the laws of trigonometry.

2. Demonstrate Universal & Chromogeometric Laws Symbolically: Every principle from W.01 through W.28 is backed by multivariate SymPy polynomial certificates (valid over any field of characteristic \(\ne 2\), including finite fields \(\mathbb{F}_p\)), exact geometor.model constructions, and Explorer-styled interactive SVG diagrams.

3. Bridge Ancient Canon and Modern Computation: Connect Euclid’s Elements (geometor/euclid, geometor/elements), Pappus of Alexandria’s projective cross-ratios (geometor/pappus), Luca Pacioli’s golden polyhedra (geometor/pacioli), and geometor/fundamentals to universal algebraic geometry and Blue / Red / Green Chromogeometry.