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degenerate polytope

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  • Polygon — For other uses, see Polygon (disambiguation). Some polygons of different kinds In geometry a polygon (   …   Wikipedia

  • Polyhedron — Polyhedra redirects here. For the relational database system, see Polyhedra DBMS. For the game magazine, see Polyhedron (magazine). For the scientific journal, see Polyhedron (journal). Some Polyhedra Dodecahedron (Regular polyhedron) …   Wikipedia

  • Prism (geometry) — For other uses, see Prism (disambiguation). Set of uniform prisms (A hexagonal prism is shown) Type uniform polyhedron Faces 2+n total: 2 {n} n {4} Edges …   Wikipedia

  • List of regular polytopes — This page lists the regular polytopes in Euclidean, spherical and hyperbolic spaces.The Schläfli symbol notation describes every regular polytope, and is used widely below as a compact reference name for each.The regular polytopes are grouped by… …   Wikipedia

  • Cube — This article is about the geometric shape. For other uses, see Cube (disambiguation). Regular Hexahedron (Click here for rotating model) Type Platonic solid Elements F = 6, E = 12 V = 8 (χ = 2) …   Wikipedia

  • Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia

  • Octahedron — For the album by The Mars Volta, see Octahedron (album). Regular Octahedron (Click here for rotating model) Type Platonic solid Elements F = 8, E = 12 V = 6 (χ = 2) Faces by sides …   Wikipedia

  • Tetrahedron — For the academic journal, see Tetrahedron (journal). Regular Tetrahedron (Click here for rotating model) Type Platonic solid Elements F = 4, E = 6 V = 4 (χ = 2) Faces by s …   Wikipedia

  • Thorold Gosset — (1869 ndash;1962) was an English lawyer and an amateur mathematician. In mathematics, he is noted for discovering and classifying the semiregular polytopes in dimensions four and higher.According to H. S. M. Coxeter, [cite book | first = H. S. M …   Wikipedia

  • Bipyramid — For Dipyramid, see mountain and Dipyramid (Alaska). Set of bipyramids (Example hexagonal form) Faces 2n triangles Edges 3n Vertices n + 2 …   Wikipedia

  • Bounding volume — A three dimensional model with its bounding box drawn in dashed lines. For building code compliance, see Bounding. In computer graphics and computational geometry, a bounding volume for a set of objects is a closed volume that completely contains …   Wikipedia

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