constructed by truncating all 4 vertices of a regular tetrahedron. The truncated tetrahedron can be constructed from a regular tetrahedron by cutting all...
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In geometry, the truncated triakis tetrahedron is a convex polyhedron with 16 faces: four sets of three pentagons with a shared vertex, arranged in a...
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geometry, the augmented truncated tetrahedron is a polyhedron constructed by attaching a triangular cupola onto a truncated tetrahedron. It is an example of...
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with triangular faces. The triakis tetrahedron is a Catalan solid, the dual polyhedron of a truncated tetrahedron, an Archimedean solid with four hexagonal...
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three-dimensional space, making the triakis truncated tetrahedral honeycomb. The triakis truncated tetrahedron is the shape of the Voronoi cell of the carbon...
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Chamfer (geometry) (redirect from Chamfered tetrahedron)
versions. The chamfered tetrahedron or alternate truncated cube is a convex polyhedron constructed: by chamfering a regular tetrahedron: replacing its 6 edges...
25 KB (1,277 words) - 11:37, 21 April 2025
In geometry, the rectified truncated tetrahedron is a polyhedron, constructed as a rectified, truncated tetrahedron. It has 20 faces: 4 equilateral triangles...
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Hexagon (redirect from Truncated triangle)
the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...
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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...
20 KB (1,887 words) - 07:06, 4 April 2025
edge length. A regular tetrahedron is formed at each truncated vertex. The Cartesian coordinates of the vertices of a truncated tesseract having edge length 2...
17 KB (1,289 words) - 03:18, 24 July 2024
cuboctahedron, truncated octahedron, truncated cube, rhombicuboctahedron, icosidodecahedron, truncated cuboctahedron, truncated icosahedron, truncated dodecahedron...
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solids: By truncation the tetrahedron becomes a truncated tetrahedron. The dual of this solid is the triakis tetrahedron, a regular tetrahedron with four...
76 KB (9,506 words) - 04:09, 11 March 2025
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and...
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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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and 5 truncated tetrahedra. Each vertex is surrounded by 3 truncated tetrahedra and one tetrahedron; the vertex figure is an elongated tetrahedron. The...
21 KB (1,345 words) - 18:24, 9 June 2025
Kolpakov, Alexander; Murakami, Jun (2013), "Volume of a doubly truncated hyperbolic tetrahedron", Aequationes Mathematicae, 85 (3): 449–463, arXiv:1203.1061...
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Dodecahedron (redirect from Truncated pentagonal trapezohedron)
antiprism, D6d symmetry, order 24 Triakis tetrahedron – 12 isosceles triangles, dual of truncated tetrahedron, Td symmetry, order 24 Other less regular...
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vertex-transitive graphs are symmetric (for example, the edges of the truncated tetrahedron), and not all regular graphs are vertex-transitive (for example...
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Tetrakis hexahedron (redirect from Hexakis tetrahedron)
solid. Its dual is the truncated octahedron, an Archimedean solid. It can be called a disdyakis hexahedron or hexakis tetrahedron as the dual of an omnitruncated...
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Archimedean solid Truncated tetrahedron, Cuboctahedron, Truncated cube, Truncated octahedron, Rhombicuboctahedron, Truncated cuboctahedron, Snub cube, Icosidodecahedron...
30 KB (2,692 words) - 15:23, 9 February 2025
Tetrahedrally diminished dodecahedron (redirect from Propello tetrahedron)
diminished dodecahedron (also tetrahedrally stellated icosahedron or propello tetrahedron) is a topologically self-dual polyhedron made of 16 vertices, 30 edges...
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to every other tile, including the gyrobifastigium, the triakis truncated tetrahedron, and the trapezo-rhombic dodecahedron. The cube is the only Platonic...
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octahedron. It is related to the cantic cube construction of the truncated tetrahedron, as , which is one of the two dual positions represented in this...
2 KB (91 words) - 10:46, 22 March 2025
augmented truncated tetrahedron J 65 {\displaystyle J_{65}} . The triangular cupola may also be applied in constructing truncated tetrahedron, although...
8 KB (840 words) - 06:15, 26 September 2024
regular 24-cell. There are two degrees of truncations, including a bitruncation. The truncated 24-cell or truncated icositetrachoron is a uniform 4-dimensional...
24 KB (1,744 words) - 03:18, 24 July 2024
Hemi-icosahedron Archimedean solid Truncated tetrahedron Cuboctahedron Truncated cube Truncated octahedron Rhombicuboctahedron Truncated cuboctahedron Snub cube...
46 KB (3,547 words) - 00:42, 27 May 2025
A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection...
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meaning "base" or "seat" and referring to the faces. For example a tetrahedron is a polyhedron with four faces, a pentahedron is a polyhedron with five...
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the altitude of the tetrahedron (analogous to the altitude of a triangle). An example of a trirectangular tetrahedron is a truncated solid figure near the...
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faces. Simple examples of Goldberg polyhedra include the dodecahedron and truncated icosahedron. Other forms can be described by taking a chess knight move...
12 KB (646 words) - 21:48, 27 May 2025