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Truncated tetrakis cube information


Truncated tetrakis cube
Hexatruncated tetrakis cube
Truncated tetrakis cube
Conway notation t6kC = dk6tO
Faces 8 hexagons
24 pentagons
Edges 84
Vertices 54
Dual Hexakis truncated octahedron
Vertex configuration 6 (5.5.5.5)
48 (5.5.6)
Symmetry group Oh
Properties convex

The truncated tetrakis cube, or more precisely an order-6 truncated tetrakis cube or hexatruncated tetrakis cube, is a convex polyhedron with 32 faces: 24 sets of 3 bilateral symmetry pentagons arranged in an octahedral arrangement, with 8 regular hexagons in the gaps.

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Truncated tetrakis cube

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The truncated tetrakis cube, or more precisely an order-6 truncated tetrakis cube or hexatruncated tetrakis cube, is a convex polyhedron with 32 faces:...

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Tetrakis hexahedron

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a tetrakis hexahedron (also known as a tetrahexahedron, hextetrahedron, tetrakis cube, and kiscube) is a Catalan solid. Its dual is the truncated octahedron...

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Tetrakis

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Look up tetrakis in Wiktionary, the free dictionary. Tetrakis may refer to: Tetrakis (Paphlagonia), an ancient Greek city Tetrakis cuboctahedron, convex...

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Truncated octahedron

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The truncated octahedron was called the "mecon" by Buckminster Fuller. Its dual polyhedron is the tetrakis hexahedron. If the original truncated octahedron...

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Truncated triakis tetrahedron

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coplanar triangles in a truncated tetrahedron volume. Near-miss Johnson solid Truncated tetrakis cube Truncated triakis octahedron Truncated triakis icosahedron...

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Cube

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regular octagons (truncated cube). The rhombicuboctahedron is obtained by cutting off both corners and edges to the correct amount. A cube can be inscribed...

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Truncated triakis octahedron

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truncated cube. It can be seen as a truncated cube with octagonal pyramids augmented to the faces. Truncated triakis tetrahedron Truncated tetrakis cube...

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Truncated triakis icosahedron

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augmented to the faces. Truncated triakis tetrahedron Truncated triakis octahedron Truncated tetrakis cube George Hart's Polyhedron generator - "t10kI" (Conway...

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Truncated pentakis dodecahedron

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solid Truncated tetrakis cube C180 Isomers Deza, A.; Deza, M.; Grishukhin, V. (1998), "Fullerenes and coordination polyhedra versus half-cube embeddings"...

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Cubic honeycomb

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truncated cubes and octahedra in a ratio of 1:1, with an isosceles square pyramid vertex figure. John Horton Conway calls this honeycomb a truncated cubille...

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List of mathematical shapes

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dodecadodecahedron Truncated great dodecahedron Truncated great icosahedron Catalan solid Triakis tetrahedron Rhombic dodecahedron Triakis octahedron Tetrakis hexahedron...

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Tetrakis cuboctahedron

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geometry, the tetrakis cuboctahedron is a convex polyhedron with 32 triangular faces, 48 edges, and 18 vertices. It is a dual of the truncated rhombic dodecahedron...

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Dice

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board games, role-playing games, and games of chance. A traditional die is a cube with each of its six faces marked with a different number of dots (pips)...

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Conway polyhedron notation

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operators, like truncation as defined by Kepler, to build related polyhedra of the same symmetry. For example, tC represents a truncated cube, and taC, parsed...

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Octahedral symmetry

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These include transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the polyhedron that is dual to...

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Cubic pyramid

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non-convex tetrakis hexahedron, obtained by gluing square pyramids onto the faces of a cube, and folded along the squares where the pyramids meet the cube. Klitzing...

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Truncated tesseract

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which creates the truncated 16-cell. The truncated tesseract is bounded by 24 cells: 8 truncated cubes, and 16 tetrahedra. Truncated tesseract (Norman...

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Tetragonal disphenoid honeycomb

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the body-centered cubic lattice. This honeycomb's vertex figure is a tetrakis cube: 24 disphenoids meet at each vertex. The union of these 24 disphenoids...

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Uniform polyhedron

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the five truncations of the Platonic solids—truncated tetrahedron, truncated octahedron, truncated cube, truncated dodecahedron, and truncated icosahedron—and...

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Catalan solid

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symmetry is the triakis tetrahedron (dual of the truncated tetrahedron). The rhombic dodecahedron and tetrakis hexahedron have octahedral symmetry, but they...

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Pentakis snub dodecahedron

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vertices is two edges in a row, and then a turn and one more edge. Tetrakis snub cube k4sC Spherical Models, IV. Geodesic domes, p.83 Photo 36,{3,5+}2,1...

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Tetrahedral symmetry

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cubic crystal system. Seen in stereographic projection the edges of the tetrakis hexahedron form 6 circles (or centrally radial lines) in the plane. Each...

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Deltahedron

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all polyhedra have this property: for example, if some of the angles of a cube are relaxed, it can be deformed into a non-right square prism or even into...

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List of small polyhedra by vertex count

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Triaugmented dodecahedron 24 Truncated cube Truncated octahedron Rhombicuboctahedron Elongated square gyrobicupola Gyroelongated square bicupola Snub cube...

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Kleetope

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pyramid to each face of them.[citation needed] The tetrakis hexahedron is the Kleetope of the cube, formed by adding a square pyramid to each of its faces...

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List of Wenninger polyhedron models

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Faces by type 6 Truncated tetrahedron triakis tetrahedron 2 3|3 3.6.6 Td U02 K07 12 18 8 4{3} + 4{6} 7 Truncated octahedron tetrakis hexahedron 2 4|3...

Word Count : 263

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