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Each quadrilateral face of the blue multigraph should contain one red edge that is parallel to one of the blue edges of the face

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The Four Color Theorem meets Shapes of Polyhedra

math.MG · 2026-04-13 · unverdicted · novelty 7.0

Solutions to the 4-color problem on sphere triangulations with degree sequence 6,6,6,6,6,6,4,4,4,4,4,4 are sorted into types parametrized by lattice points in 4D polyhedral cones, with an integral quadratic form counting triangles and related to Thurston's flat cone moduli space.

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  • The Four Color Theorem meets Shapes of Polyhedra math.MG · 2026-04-13 · unverdicted · none · ref 7

    Solutions to the 4-color problem on sphere triangulations with degree sequence 6,6,6,6,6,6,4,4,4,4,4,4 are sorted into types parametrized by lattice points in 4D polyhedral cones, with an integral quadratic form counting triangles and related to Thurston's flat cone moduli space.