edge of polyhedron

  • 101Nonconvex great rhombicuboctahedron — Type Uniform star polyhedron Elements F = 26, E = 48 V = 24 (χ = 2) Faces by sides 8{3}+(6+12){4} Wytho …

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  • 102Complete graph — K7, a complete graph with 7 vertices Vertices n Edges …

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  • 103Schläfli symbol — In mathematics, the Schläfli symbol is a notation of the form {p,q,r,...} that defines regular polytopes and tessellations.The Schläfli symbol is named after the 19th century mathematician Ludwig Schläfli who made important contributions in… …

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  • 104Tiling by regular polygons — Plane tilings by regular polygons have been widely used since antiquity. The first systematic mathematical treatment was that of Kepler in Harmonices Mundi . Regular tilings Following Grünbaum and Shephard (section 1.3), a tiling is said to be… …

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  • 105Polygon mesh — A polygon mesh or unstructured grid is a collection of vertices, edges and faces that defines the shape of a polyhedral object in 3D computer graphics and solid modeling. The faces usually consist of triangles, quadrilaterals or other simple… …

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  • 106Rectification (geometry) — In Euclidean geometry, rectification is the process of truncating a polytope by marking the midpoints of all its edges, and cutting off its vertices at those points. The resulting polytope will be bounded by the vertex figures and the rectified… …

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  • 107List of uniform polyhedra — Uniform polyhedra and tilings form a well studied group. They are listed here for quick comparison of their properties and varied naming schemes and symbols.This list includes: * all 75 nonprismatic uniform polyhedra; * a few representatives of… …

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  • 108Order-3 heptagonal tiling — Poincaré disk model of the hyperbolic plane Type Regular hyperbolic tiling Vertex figure 7.7.7 Schläfli symbol(s) …

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  • 109Compound of twenty tetrahemihexahedra — Type Uniform compound Index UC19 Polyhedra 20 tetrahemihexahedra Faces …

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  • 110Orbifold — This terminology should not be blamed on me. It was obtained by a democratic process in my course of 1976 77. An orbifold is something with many folds; unfortunately, the word “manifold” already has a different definition. I tried “foldamani”,… …

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