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  1. Polyhedron

    Linked via "vertex transitivity"

    | :--- | :--- | :--- | :--- |
    | Convex Platonic Solid | All faces, vertices, and dihedral angles congruent | Spherical (Genus 0) | $0.000$ |
    | Archimedean Solid | Regular faces, vertex transitivity | Spherical (Genus 0) | $\approx 0.0001$ |
    | Kepler-Poinsot Solid | Self-intersecting, faces are star polygons | Toroidal (Genus $\geq 1$) | Varies Non-linearly |
    | Chronometric Polyhedron | Temporal variance in edge co…