• Thumbnail for Truncated tetrahedron
    constructed by truncating all 4 vertices of a regular tetrahedron. The truncated tetrahedron can be constructed from a regular tetrahedron by cutting all...
    15 KB (1,483 words) - 07:18, 3 May 2025
  • Thumbnail for Truncated triakis tetrahedron
    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...
    7 KB (641 words) - 00:32, 20 May 2025
  • Thumbnail for Augmented truncated tetrahedron
    geometry, the augmented truncated tetrahedron is a polyhedron constructed by attaching a triangular cupola onto a truncated tetrahedron. It is an example of...
    5 KB (469 words) - 16:25, 11 March 2025
  • Thumbnail for Triakis tetrahedron
    with triangular faces. The triakis tetrahedron is a Catalan solid, the dual polyhedron of a truncated tetrahedron, an Archimedean solid with four hexagonal...
    5 KB (435 words) - 05:45, 2 June 2025
  • Thumbnail for Triakis truncated tetrahedron
    three-dimensional space, making the triakis truncated tetrahedral honeycomb. The triakis truncated tetrahedron is the shape of the Voronoi cell of the carbon...
    3 KB (220 words) - 06:31, 13 August 2022
  • Thumbnail for Chamfer (geometry)
    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
  • Thumbnail for Rectified truncated tetrahedron
    In geometry, the rectified truncated tetrahedron is a polyhedron, constructed as a rectified, truncated tetrahedron. It has 20 faces: 4 equilateral triangles...
    3 KB (164 words) - 21:55, 12 December 2023
  • Thumbnail for Hexagon
    Hexagon (redirect from Truncated triangle)
    the truncated tetrahedron, truncated octahedron, truncated icosahedron (of soccer ball and fullerene fame), truncated cuboctahedron and the truncated icosidodecahedron...
    31 KB (2,873 words) - 15:07, 3 June 2025
  • Thumbnail for Truncated octahedron
    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
  • Thumbnail for Archimedean solid
    cuboctahedron, truncated octahedron, truncated cube, rhombicuboctahedron, icosidodecahedron, truncated cuboctahedron, truncated icosahedron, truncated dodecahedron...
    21 KB (1,756 words) - 09:42, 21 May 2025
  • 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
  • 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
  • Thumbnail for Truncated cube
    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...
    9 KB (738 words) - 06:27, 6 March 2025
  • Thumbnail for Uniform polyhedron
    the five truncations of the Platonic solids—truncated tetrahedron, truncated octahedron, truncated cube, truncated dodecahedron, and truncated icosahedron—and...
    66 KB (2,584 words) - 20:01, 30 March 2025
  • antiprism, D6d symmetry, order 24 Triakis tetrahedron – 12 isosceles triangles, dual of truncated tetrahedron, Td symmetry, order 24 Other less regular...
    28 KB (2,042 words) - 06:29, 15 May 2025
  • vertex-transitive graphs are symmetric (for example, the edges of the truncated tetrahedron), and not all regular graphs are vertex-transitive (for example...
    6 KB (646 words) - 00:09, 28 December 2024
  • Thumbnail for Truncated 5-cell
    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
  • Thumbnail for Tetrakis hexahedron
    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...
    11 KB (1,140 words) - 07:41, 9 June 2025
  • Kolpakov, Alexander; Murakami, Jun (2013), "Volume of a doubly truncated hyperbolic tetrahedron", Aequationes Mathematicae, 85 (3): 449–463, arXiv:1203.1061...
    6 KB (467 words) - 03:29, 6 January 2025
  • Thumbnail for Tetrahedrally diminished dodecahedron
    diminished dodecahedron (also tetrahedrally stellated icosahedron or propello tetrahedron) is a topologically self-dual polyhedron made of 16 vertices, 30 edges...
    5 KB (333 words) - 20:35, 5 January 2025
  • to every other tile, including the gyrobifastigium, the triakis truncated tetrahedron, and the trapezo-rhombic dodecahedron. The cube is the only Platonic...
    2 KB (228 words) - 03:21, 26 January 2025
  • 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
  • Thumbnail for Compound of two truncated tetrahedra
    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
  • Thumbnail for Triangular cupola
    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
  • Thumbnail for Truncated 24-cells
    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
  • Thumbnail for Polyhedron
    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...
    97 KB (10,633 words) - 18:39, 9 June 2025
  • Thumbnail for Tetrahedral symmetry
    A regular tetrahedron has 12 rotational (or orientation-preserving) symmetries, and a symmetry order of 24 including transformations that combine a reflection...
    18 KB (1,012 words) - 15:48, 25 April 2025
  • Thumbnail for Goldberg polyhedron
    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
  • Thumbnail for Trirectangular tetrahedron
    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...
    5 KB (736 words) - 02:42, 19 December 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