• Thumbnail for Disdyakis triacontahedron
    In geometry, a disdyakis triacontahedron, hexakis icosahedron, decakis dodecahedron, kisrhombic triacontahedron or d120 is a Catalan solid with 120 faces...
    15 KB (1,361 words) - 12:10, 26 April 2025
  • Thumbnail for Disdyakis dodecahedron
    kisRhombic dodecahedron) Weisstein, Eric W., "Disdyakis dodecahedron" ("Catalan solid") at MathWorld. Disdyakis Dodecahedron (Hexakis Octahedron) Interactive...
    11 KB (891 words) - 16:17, 15 April 2025
  • Thumbnail for Truncated dodecadodecahedron
    shifting (in either direction) the last four elements. The medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform...
    6 KB (612 words) - 02:44, 15 November 2023
  • Thumbnail for Medial disdyakis triacontahedron
    In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron. It...
    1 KB (176 words) - 22:29, 27 December 2022
  • Thumbnail for Tetrakis hexahedron
    faces divided by vertices, mid-edges, and a central point. Disdyakis triacontahedron Disdyakis dodecahedron Kisrhombille tiling Compound of three octahedra...
    11 KB (1,134 words) - 16:35, 22 May 2025
  • Thumbnail for Isohedral figure
    deltoidal hexecontahedron Ih, [5,3], (*532) 120 120 V4.6.10 Catalan disdyakis triacontahedron Ih, [5,3], (*532) 120 60 V34.5 Catalan pentagonal hexecontahedron...
    16 KB (678 words) - 04:06, 30 August 2024
  • Thumbnail for Great truncated icosidodecahedron
    ={\tfrac {1+{\sqrt {5}}}{2}}} is the golden ratio. The great disdyakis triacontahedron (or trisdyakis icosahedron) is a nonconvex isohedral polyhedron...
    3 KB (408 words) - 06:54, 16 May 2024
  • Thumbnail for Catalan solid
    Additionally, two Catalan solids, the rhombic dodecahedron and rhombic triacontahedron, are edge-transitive, meaning their edges are symmetric to each other...
    8 KB (480 words) - 22:26, 30 May 2025
  • dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • Thumbnail for Dice
    it does not function as a uniform fair die as some results are more likely than others. 120 Disdyakis triacontahedron Each face is a scalene triangle....
    47 KB (4,730 words) - 03:12, 23 May 2025
  • Bilinski dodecahedron, has twelve faces congruent to those of the rhombic triacontahedron, i.e. the diagonals are in the ratio of the golden ratio. It is also...
    28 KB (2,042 words) - 06:29, 15 May 2025
  • Thumbnail for Max Brückner
    Vielecke und Vielflache from 1900, including a stellation of the icosahedron and stereographic projections of the disdyakis dodeca- and triacontahedron...
    6 KB (478 words) - 11:26, 18 July 2024
  • Thumbnail for Truncated icosidodecahedron
    References U28, C31, W16 Properties Semiregular convex zonohedron Colored faces 4.6.10 (Vertex figure) Disdyakis triacontahedron (dual polyhedron) Net...
    14 KB (850 words) - 18:49, 29 July 2023
  • Thumbnail for Cube
    barycentric subdivision of a cube (or its dual, the regular octahedron) is the disdyakis dodecahedron, a Catalan solid. The corner region of a cube can also be...
    62 KB (6,319 words) - 06:38, 2 June 2025
  • Thumbnail for Truncated trihexagonal tiling
    tilings creates the kisrhombille tiling. (Compare the disdyakis hexa-, dodeca- and triacontahedron, three Catalan solids similar to this tiling.) 3-6 deltoidal...
    10 KB (739 words) - 01:36, 4 May 2025
  • triangle's sides Polyhedra: Medial deltoidal hexecontahedron Medial disdyakis triacontahedron Medial hexagonal hexecontahedron Medial icosacronic hexecontahedron...
    2 KB (289 words) - 19:28, 16 June 2019
  • dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • Thumbnail for Simplicial polytope
    octahedron, tetrakis hexahedron, disdyakis dodecahedron, triakis icosahedron, pentakis dodecahedron, disdyakis triacontahedron Simplicial tilings: Regular:...
    2 KB (183 words) - 06:44, 27 August 2024
  • disdyakis dodecahedron 2 3 4| 4.6.8 Oh U11 K16 48 72 26 12{4} + 8{6} + 6{8} 16 Truncated icosidodecahedron (Great rhombicosidodecahedron) disdyakis triacontahedron...
    44 KB (263 words) - 10:47, 20 March 2025
  • dodecahedron with a rhombic pyramid, and the disdyakis triacontahedron is the Kleetope of the rhombic triacontahedron. In fact, the base polyhedron of a Kleetope...
    10 KB (1,097 words) - 10:39, 25 February 2025
  • Thumbnail for Icosahedral symmetry
    rotation group and the full icosahedral group are given by: In the disdyakis triacontahedron one full face is a fundamental domain; other solids with the same...
    49 KB (2,425 words) - 19:43, 25 April 2025
  • Thumbnail for Sphericity
    r^{3}} 4 π r 2 {\displaystyle 4\pi \,r^{2}} 1 {\displaystyle 1} Disdyakis triacontahedron 900 + 720 5 11 s 3 {\displaystyle {\frac {900+720{\sqrt {5}}}{11}}\...
    7 KB (646 words) - 15:51, 11 April 2025
  • Thumbnail for Uniform polyhedron
    diagram: . There are 120 triangles, visible in the faces of the disdyakis triacontahedron, and in the alternately colored triangles on a sphere: The dihedral...
    66 KB (2,584 words) - 20:01, 30 March 2025
  • domain can be part of an arbitrary plane. For example, in the disdyakis triacontahedron one full face is a fundamental domain of icosahedral symmetry...
    60 KB (5,111 words) - 17:13, 25 March 2025
  • hexecontahedron (Video) rhombicosidodecahedron 60 120 62 kite disdyakis triacontahedron or hexakis icosahedron (Video) truncated icosidodecahedron 120...
    8 KB (35 words) - 13:03, 29 September 2023
  • Thumbnail for Compound of five octahedra
    stereographic projections of this compound look the same as those of the disdyakis triacontahedron. But the convex solid's vertices on 3- and 5-fold symmetry axes...
    6 KB (369 words) - 10:32, 22 March 2025
  • Thumbnail for Conway polyhedron notation
    Deltoidal icositetrahedron oC = oO Disdyakis dodecahedron mC = mO Pentagonal icositetrahedron gC = gO Rhombic triacontahedron jD = jI Triakis icosahedron kI...
    47 KB (2,673 words) - 09:29, 9 November 2024
  • Thumbnail for Henry Segerman
    created a "numerically balanced" 120-sided die in the shape of a disdyakis triacontahedron. It is the "biggest, most complex fair die possible". They concede...
    11 KB (961 words) - 04:17, 14 May 2025
  • Thumbnail for 31 great circles of the spherical icosahedron
    onto a sphere. Fifteen great circles represent the edges of a disdyakis triacontahedron, the dual of a truncated icosidodecahedron. Six more great circles...
    2 KB (228 words) - 15:05, 14 March 2023
  • refer to: D120 road (Croatia), a state road on island of Mljet Disdyakis triacontahedron, a 120-sided polyhedron, written as "d120" in dice notation Jodel...
    259 bytes (68 words) - 05:37, 14 May 2023