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Integral Planes and Unit-Norm Polytopes

math.CO · 2026-05-18 · unverdicted · novelty 7.0

Defines integral planes O² with norm sum quadratic form over crystallographic and non-crystallographic orders, recovers root systems including E8⊕E8 and H4⊕H4, proves no indecomposable rank-8 golden octonion order exists, and shows the algebraic Hopf map restricts to a fibration on the balanced unit

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  • Integral Planes and Unit-Norm Polytopes math.CO · 2026-05-18 · unverdicted · none · ref 7

    Defines integral planes O² with norm sum quadratic form over crystallographic and non-crystallographic orders, recovers root systems including E8⊕E8 and H4⊕H4, proves no indecomposable rank-8 golden octonion order exists, and shows the algebraic Hopf map restricts to a fibration on the balanced unit