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quasiregular polytope

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  • 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

  • Isohedral figure — In geometry, a polytope (a polyhedron or a polychoron for example) or tiling is isohedral or face transitive when all its faces are the same. More specifically, all faces must be not merely congruent but must be transitive , i.e. must lie within… …   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

  • Isogonal figure — In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isogonal or vertex transitive if all its vertices are the same. That is, each vertex is surrounded by the same kinds of face in the same order, and with the same angles… …   Wikipedia

  • Rectification (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… …   Wikipedia

  • Isotoxal figure — This article is about geometry. For edge transitivity in graph theory, see edge transitive graph. In geometry, a polytope (a polygon, polyhedron or tiling, for example) is isotoxal or edge transitive if its symmetries act transitively on its… …   Wikipedia

  • Semiregular polyhedron — A semiregular polyhedron is a polyhedron with regular faces and a symmetry group which is transitive on its vertices. Or at least, that is what follows from Thorold Gosset s 1900 definition of the more general semiregular polytope. [Thorold… …   Wikipedia

  • Truncation (geometry) — In geometry, a truncation is an operation in any dimension that cuts polytope vertices, creating a new facet in place of each vertex. Truncation in regular polyhedra and tilings When the term applies to truncating platonic solids or regular… …   Wikipedia

  • Honeycomb (geometry) — In geometry, a honeycomb is a space filling or close packing of polyhedral or higher dimensional cells , so that there are no gaps. It is an example of the more general mathematical tiling or tessellation in any number of dimensions. Honeycombs… …   Wikipedia

  • Uniform star polyhedron — A display of uniform polyhedra at the Science Museum in London …   Wikipedia

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