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The uploader of this file has agreed to the Wikimedia Foundation 3D patent license: This file and any 3D objects depicted in the file are both my own work. I hereby grant to each user, maker, or distributor of the object depicted in the file a worldwide, royalty-free, fully-paid-up, nonexclusive, irrevocable and perpetual license at no additional cost under any patent or patent application I ...
3D model of an octahemioctahedron. In geometry, the octahemioctahedron or allelotetratetrahedron is a nonconvex uniform polyhedron, indexed as U 3. It has 12 faces (8 triangles and 4 hexagons), 24 edges and 12 vertices. [1] Its vertex figure is a crossed quadrilateral. It is one of nine hemipolyhedra, with 4 hexagonal faces passing through the ...
The octahedral graph can be considered as complete tripartite graph,,, a graph partitioned into three independent sets each consisting of two opposite vertices. [16] More generally, it is a Turán graph T 6 , 3 {\displaystyle T_{6,3}} .
Geodesic polyhedra are available as geometric primitives in the Blender 3D modeling software package, which calls them icospheres: they are an alternative to the UV sphere, having a more regular distribution. [4] [5] The Goldberg–Coxeter construction is an expansion of the concepts underlying geodesic polyhedra.
3D model of a uniform hexagonal prism. In geometry, the hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices. [1] Since it has 8 faces, it is an octahedron. However, the term octahedron is primarily used to refer to the regular octahedron, which has eight triangular faces.
full octahedral symmetry: This group has the same rotation axes as O, but with mirror planes, comprising both the mirror planes of T d and T h. The three-fold axes give rise to four D 3d subgroups. The three perpendicular four-fold axes of O now give D 4h subgroups, while the six two-fold axes give six D 2h subgroups.
3D model of a truncated octahedron. The truncated octahedron is one of the thirteen Archimedean solids. In other words, it has a highly symmetric and semi-regular polyhedron with two or more different regular polygonal faces that meet in a vertex. [3] The dual polyhedron of a truncated octahedron is the tetrakis hexahedron.
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