measure polytope
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Regular polytope — In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j faces (for all 0≤ j ≤ n , where n is the dimension of the polytope) cells, faces and… … Wikipedia
Hypercube — This article is about the mathematical concept. For the film, see Cube 2: Hypercube. Perspective projections Cube (3 cube) Tesseract (4 cube) In geometry, a hypercube is an n dimensional analogue of a … Wikipedia
Demihypercube — Not to be confused with Hemicube (geometry). Alternation of the n cube yields one of two n demicubes, as in this 3 dimensional illustration of the two tetrahedra that arise as the 3 demicubes of the 3 cube. In geometry, demihypercubes (also… … Wikipedia
Tesseract — For other uses, see Tesseract (disambiguation). Tesseract 8 cell 4 cube Schlegel diagram Type Convex regular 4 polytope … Wikipedia
10-cube — Dekeract Orthogonal projection inside Petrie polygon Orange vertices are doubled, and central yellow one has four Type Regular 10 polytope Family hypercube Schläfli symbol {4,3 … Wikipedia
8-cube — Octeract Orthogonal projection inside Petrie polygon Type Regular 8 polytope Family hypercube Schläfli symbol {4,36} Coxeter Dynkin diagram … Wikipedia
Hexeract — A hexeract is a name for a six dimensional hypercube with 64 vertices, 192 edges, 240 square faces, 160 cubic cells, 60 tesseract 4 faces, and 12 penteract 5 faces.The name hexeract is derived from combining the name tesseract (the 4 cube ) with… … 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
Penteract — In five dimensional geometry, a penteract is a name for a five dimensional hypercube with 32 vertices, 80 edges, 80 square faces, 40 cubic cells, and 10 tesseract hypercells.The name penteract is derived from combining the name tesseract (the 4… … Wikipedia
Rectified 8-cell — In geometry, the rectified tesseract, or rectified 8 cell is a uniform polychoron (4 dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra.ConstructionThe rectified tesseract may be constructed from the tesseract by… … Wikipedia
Hepteract — A hepteract is a seven dimensional hypercube with 128 vertices, 448 edges, 672 square faces, 560 cubic cells, 280 tesseract 4 faces, 84 penteract 5 faces, and 14 hexeract 6 faces.The name hepteract is derived from combining the name tesseract… … Wikipedia
