Formal Proof of the Non-Existence of Perfect Cuboids via Mordell-Weil Rank Exhaustion and Minimal Polynomial Irreducibility of the Perfect Cuboid Surface.
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Updated
May 5, 2026 - Lean
Formal Proof of the Non-Existence of Perfect Cuboids via Mordell-Weil Rank Exhaustion and Minimal Polynomial Irreducibility of the Perfect Cuboid Surface.
Browser-based LLL and BKZ lattice reduction demo — Gram-Schmidt orthogonalization, Lovász condition, step-by-step basis reduction animation, toy LWE primal attack, parameter explorer showing why Kyber's n=256 q=3329 survives while toy parameters fail instantly. The hardness assumption, made tangible. No backends. No simulated math.
Mathematica codes used to generate figures in the paper 'Witnessing a Poincaré recurrence with Mathematica', Results in Physics 7, 3373 (2017)
Prove the non-existence of perfect cuboids using formal methods and algebraic structures verified in Lean 4 with detailed mathematical analysis.
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