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rhombic symmetry

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  • Rhombic dodecahedron — The rhombic dodecahedron is a convex polyhedron with 12 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. Its dual is the cuboctahedron. Properties It is the polyhedral dual of the cuboctahedron, and a zonohedron. The long… …   Wikipedia

  • Rhombic triacontahedron — In geometry, the rhombic triacontahedron is a convex polyhedron with 30 rhombic faces. It is an Archimedean dual solid, or a Catalan solid. It is the polyhedral dual of the icosidodecahedron, and it is a zonohedron.The ratio of the long diagonal… …   Wikipedia

  • Rhombic icosahedron — A rhombic icosahedron (or rhombic icosacontahedron) is a polyhedron shaped like an oblate sphere. It is composed of 20 rhombic faces, where three, four, or five of which meet at each vertex. It has 10 faces on the polar axis with 10 rhombi… …   Wikipedia

  • Octahedral symmetry — The cube is the most common shape with octahedral symmetry A regular octahedron has 24 rotational (or orientation preserving) symmetries, and a symmetry order of 48 including transformations that combine a reflection and a rotation. A cube has… …   Wikipedia

  • Truncated rhombic triacontahedron — The truncated rhombic triacontahedron is a convex polyhedron constructed from the rhombic triacontahedron by truncating the twelve vertices where five faces meet at their acute corners.The 12 vertices can be truncated such that all edges are… …   Wikipedia

  • Truncated rhombic dodecahedron — The truncated rhombic dodecahedron is a convex polyhedron constructed from the rhombic dodecahedron by truncating the 6 (order 4) vertices. The 6 vertices are truncated such that all edges are equal length. The original 12 rhombic faces become… …   Wikipedia

  • Medial rhombic triacontahedron — Type Star polyhedron Elements F = 30, E = 60 V = 24 (χ = −6) Symmetry group Ih, [5,3], *532 …   Wikipedia

  • Rotational symmetry — Generally speaking, an object with rotational symmetry is an object that looks the same after a certain amount of rotation. An object may have more than one rotational symmetry; for instance, if reflections or turning it over are not counted, the …   Wikipedia

  • Quasiregular rhombic tiling — Infobox face uniform tiling Type=Dual semiregular tiling Face List=30 60 rhombus Wythoff Symbol=*** Symmetry Group=p6m or *632 Face Type=V3.6.3.6 Dual=Trihexagonal tiling Property List=edge transitive face transitive In geometry, the quasiregular …   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

  • Conway polyhedron notation — This example chart shows how 11 new forms can be derived from the cube using 3 operations. The new polyhedra are shown as maps on the surface of the cube so the topological changes are more apparent. Vertices are marked in all forms with circles …   Wikipedia

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