A new way to teach higher mathematics by classifying its paradoxes, not resolving them: the integers 0–9 as shapes (the base, from the book The Shape of Understanding), the towers of higher math they point up to, and the coin — two sides and an edge — on every floor. Machine-checked; an earlier AI-built table program is archived with its audit.
reproducible-research geometry simplex mathematics open-science duality group-theory integers geometric-algebra sphere-packing platonic-solids mathematics-education polytopes negative-results clifford-algebra octonions thomson-problem bott-periodicity higher-mathematics
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Updated
Oct 9, 2026 - Python