Polytope — Not to be confused with polytrope. In elementary geometry, a polytope is a geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on… … Wikipedia
Cell (geometry) — In geometry, a cell is a three dimensional element that is part of a higher dimensional object. In polytopes A cell is a three dimensional polyhedron element that is part of the boundary of a higher dimensional polytope, such as a polychoron (4… … Wikipedia
Facet (mathematics) — A facet of a simplicial complex is a maximal simplex.In the general theory of polyhedra and polytopes, two conflicting meanings are currently jostling for acceptability:*A facet of a geometric polyhedron is traditionally any polygon whose corners … Wikipedia
List of mathematics articles (H) — NOTOC H H cobordism H derivative H index H infinity methods in control theory H relation H space H theorem H tree Haag s theorem Haagerup property Haaland equation Haar measure Haar wavelet Haboush s theorem Hackenbush Hadamard code Hadamard… … 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
Demipenteract — In five dimensional geometry, a demipenteract or 5 demicube is a semiregular 5 polytope, constructed from a 5 hypercube (penteract) with alternated vertices deleted.It was discovered by Thorold Gosset. Since it was the only semiregular 5 polytope … Wikipedia
Pentacross — In five dimensional geometry, a pentacross, also called a triacontakaiditeron, is a five dimensional polytope with 10 vertices, 40 edges, 80 triangle faces, 80 octahedron cells, 32 5 cell hypercells.It is a part of an infinite family of polytopes … Wikipedia
Hexateron — In five dimensional geometry, a hexateron, or hexa 5 tope, is a 5 simplex, a self dual regular 5 polytope with 6 vertices, 15 edges, 20 triangle faces, 15 tetrahedral cells, 6 5 cell hypercells.The name hexateron is derived from hexa for six… … Wikipedia
Rectified hexateron — A rectified hexateron or rectified 5 simplex, is a uniform 5 polytope with 15 vertices, 60 edges, 80 triangular faces, 45 cells (15 tetrahedral, and 30 octahedral), and 12 hypercells (6 5 cell and 6 rectified 5 cells).It is one of 19 uniform… … Wikipedia
Omnitruncated hexateron — In 5 dimensional geometry, an omnitruncated hexateron or omnitruncated 5 simplex, is a uniform 5 polytope. It is constructed by a omnitruncation operation applied to the hexateron (5 simplex).It has 720 vertices, 1800 edges, 1560 triangular faces … Wikipedia
