isohedral

isohedral
Describing a polyhedron or a tiling all of whose faces are the same

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  • 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

  • Anisohedral tiling — In geometry, a shape is said to be anisohedral if it admits a tiling, but no such tiling is isohedral (tile transitive); that is, in any tiling by that shape there are two tiles that are not equivalent under any symmetry of the tiling. A tiling… …   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

  • Compound of three octahedra — The compound of three octahedra In mathematics, the compound of three octahedra or octahedron 3 compound is a polyhedral compound formed from three regular octahedra, all sharing a common center but rotated with respect to each other. Although… …   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

  • Polyèdre — Un polyèdre est une forme géométrique à trois dimensions ayant des faces planes polygonales qui se rencontrent selon des segments de droite qu on appelle arêtes. Le mot « polyèdre »[1] provient du grec classique πολύεδρον (polyedron)… …   Wikipédia en Français

  • 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

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

  • Noble — may refer to: Nobility, a hereditary caste Noble gas, chemical elements in group 18 (old style Group 0) of the periodic table Noble metal, metals that are resistant to corrosion or oxidation Noble polyhedron, polyhedra which are isohedral (face… …   Wikipedia

  • Tesseract — For other uses, see Tesseract (disambiguation). Tesseract 8 cell 4 cube Schlegel diagram Type Convex regular 4 polytope …   Wikipedia

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