• Thumbnail for Triakis icosahedron
    geometry, the triakis icosahedron is an Archimedean dual solid, or a Catalan solid, with 60 isosceles triangle faces. Its dual is the truncated dodecahedron...
    11 KB (1,262 words) - 05:29, 5 July 2025
  • Thumbnail for Truncated triakis icosahedron
    The truncated triakis icosahedron, or more precisely an order-10 truncated triakis icosahedron, is a convex polyhedron with 72 faces: 20 sets of 3 pentagons...
    2 KB (109 words) - 20:00, 12 March 2025
  • Thumbnail for Truncated triakis tetrahedron
    tetrahedron are truncated at their acute vertices into pentagons. Truncated tetrakis cube Truncated triakis octahedron Truncated triakis icosahedron Sloane, N...
    7 KB (641 words) - 00:32, 20 May 2025
  • Thumbnail for Truncated hexagonal tiling
    also applies to other triakis shapes like the triakis icosahedron and triakis octahedron. It is the dual tessellation of the truncated hexagonal tiling which...
    9 KB (745 words) - 19:46, 6 March 2025
  • Thumbnail for Chamfer (geometry)
    .. The truncated octahedron or truncated icosahedron, GP(1,1), creates a Goldberg sequence: GP(1,1), GP(2,2), GP(4,4), GP(8,8)... A truncated tetrakis...
    25 KB (1,277 words) - 09:41, 23 June 2025
  • Thumbnail for Truncated triakis octahedron
    is a twisty puzzle in this shape. Truncated triakis tetrahedron Truncated tetrakis cube Truncated triakis icosahedron "TwistyPuzzles.com > Museum > Show...
    2 KB (134 words) - 12:49, 23 February 2025
  • Thumbnail for Truncated dodecahedron
    figure of a truncated dodecahedron is 3 ⋅ 10 2 {\displaystyle 3\cdot 10^{2}} . The dual of a truncated dodecahedron is triakis icosahedron, a Catalan solid...
    9 KB (810 words) - 04:41, 2 June 2025
  • Thumbnail for Great triakis icosahedron
    geometry, the great triakis icosahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform great stellated truncated dodecahedron. Its faces...
    1 KB (163 words) - 22:29, 27 December 2022
  • Thumbnail for Regular icosahedron
    Kleetope of an icosahedron. The truncated icosahedron is an Archimedean solid constructed by truncating the vertices of a regular icosahedron; the resulting...
    46 KB (4,615 words) - 11:49, 12 July 2025
  • the regular dodecahedron is a constellation. Its dual is the regular icosahedron. The regular dodecahedron has three stellations, all of which are regular...
    33 KB (2,598 words) - 18:40, 15 July 2025
  • Thumbnail for Great stellated dodecahedron
    faces are broken into triangles, it is topologically related to the triakis icosahedron, with the same face connectivity, but much taller isosceles triangle...
    6 KB (473 words) - 17:11, 1 April 2025
  • dodecadodecahedron Truncated great dodecahedron Truncated great icosahedron Catalan solid Triakis tetrahedron Rhombic dodecahedron Triakis octahedron Tetrakis...
    46 KB (3,548 words) - 19:52, 15 July 2025
  • Triaugmented triangular prism Truncated rhombic dodecahedron Truncated trapezohedron Truncated triakis tetrahedron Tridyakis icosahedron Trigonal trapezohedron...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • Thumbnail for Alternation (geometry)
    an alternation of a truncated regular or truncated quasiregular polyhedron. In general a polyhedron can be snubbed if its truncation has only even-sided...
    8 KB (735 words) - 11:05, 21 February 2025
  • Thumbnail for Truncated tetrakis cube
    hexagonal pyramids augmented. Truncated triakis tetrahedron Truncated triakis octahedron Truncated triakis icosahedron George Hart's Polyhedron generator...
    2 KB (114 words) - 01:49, 10 August 2024
  • Thumbnail for Compound of five truncated tetrahedra
    The compound of five truncated tetrahedra is a uniform polyhedron compound. It's composed of 5 truncated tetrahedra rotated around a common axis. It may...
    2 KB (160 words) - 19:48, 24 June 2025
  • Thumbnail for Conway polyhedron notation
    sO icosidodecahedron aD = aI truncated dodecahedron tD truncated icosahedron tI rhombicosidodeca­hedron eD = eI truncated icosidodecahedron bD = bI snub...
    47 KB (2,673 words) - 09:29, 9 November 2024
  • Thumbnail for Dice
    zodiac signs, and the third represents the 12 houses. A specialized icosahedron die provides the answers of the Magic 8 Ball, conventionally used to...
    47 KB (4,731 words) - 22:49, 14 July 2025
  • Thumbnail for Kepler–Poinsot polyhedron
    and the triakis icosahedron. All Kepler–Poinsot polyhedra have full icosahedral symmetry, just like their convex hulls. The great icosahedron and its...
    32 KB (2,320 words) - 16:37, 27 June 2025
  • Thumbnail for Polyhedron
    example, HIV is enclosed in a regular icosahedron, as is the head of a typical myovirus. The regular icosahedron may also appeared in the applications...
    96 KB (10,656 words) - 01:16, 15 July 2025
  • Thumbnail for Cube
    cube's vertices can be truncated, and the resulting polyhedron is the Archimedean solid, the truncated cube. When its edges are truncated, it is a rhombicuboctahedron...
    62 KB (6,299 words) - 03:52, 14 July 2025
  • tetrahedron Augmented triangular cupola Triangulated truncated triangular bipyramid Edge-contracted icosahedron Hexagonal prism Hexagonal antiprism, Gyroelongated...
    7 KB (327 words) - 14:02, 18 March 2025
  • Thumbnail for Clathrin
    triskelia, one of which is shown in blue. Another common assembly is a truncated icosahedron. To enclose a vesicle, exactly 12 pentagons must be present in the...
    22 KB (2,093 words) - 13:32, 23 April 2025
  • solids: The triakis tetrahedron is the Kleetope of a tetrahedron, the triakis octahedron is the Kleetope of an octahedron, and the triakis icosahedron is the...
    10 KB (1,100 words) - 05:54, 12 July 2025
  • Thumbnail for Great stellated truncated dodecahedron
    Maeder, Roman. "66: great stellated truncated dodecahedron". MathConsult. Weisstein, Eric W. "Great stellated truncated dodecahedron". MathWorld. v t e...
    2 KB (183 words) - 02:55, 15 November 2023
  • Thumbnail for Ideal polyhedron
    include the rhombic dodecahedron and the triakis tetrahedron. Removing certain triples of vertices from the triakis tetrahedron separates the remaining vertices...
    27 KB (3,229 words) - 08:46, 9 January 2025
  • Thumbnail for Regular octahedron
    to 1. Octahedral number Centered octahedral number Triakis octahedron Hexakis octahedron Truncated octahedron Octahedral molecular geometry Octahedral...
    32 KB (3,151 words) - 19:46, 25 June 2025
  • Thumbnail for Truncated 5-cell
    There are two degrees of truncations, including a bitruncation. The truncated 5-cell, truncated pentachoron or truncated 4-simplex is bounded by 10...
    21 KB (1,345 words) - 18:24, 9 June 2025
  • (compound of icosahedron and great dodecahedron) and the great complex icosidodecahedron (compound of small stellated dodecahedron and great icosahedron). If...
    25 KB (1,430 words) - 13:59, 18 February 2025
  • bipyramid Truncated tetrahedron Cuboctahedron Square cupola Triangular orthobicupola Biaugmented pentagonal prism Hendecagonal pyramid Icosahedron Decagonal...
    8 KB (155 words) - 05:12, 14 May 2024