• Thumbnail for Compound of five cubes
    of the pentagonal faces of the dodecahedron. It is one of the stellations of the rhombic triacontahedron. Its dual is the compound of five octahedra....
    7 KB (427 words) - 01:53, 9 June 2025
  • Thumbnail for Compound of three octahedra
    mathematics, the compound of three octahedra or octahedron 3-compound is a polyhedral compound formed from three regular octahedra, all sharing a common...
    10 KB (1,207 words) - 07:24, 30 June 2024
  • Thumbnail for Compound of five octahedra
    The compound of five octahedra is one of the five regular polyhedron compounds, and can also be seen as a stellation. It was first described by Edmund...
    6 KB (369 words) - 10:32, 22 March 2025
  • Thumbnail for Compound of four octahedra
    The compound of four octahedra is a uniform polyhedron compound. It's composed of a symmetric arrangement of 4 octahedra, considered as triangular antiprisms...
    2 KB (131 words) - 05:13, 23 March 2025
  • Thumbnail for Compound of five tetrahedra
    The compound of five tetrahedra is one of the five regular polyhedral compounds. This compound polyhedron is also a stellation of the regular icosahedron...
    7 KB (650 words) - 13:54, 22 March 2025
  • of four octahedra More generally, Compound of four octahedra with rotational freedom Compound of five octahedra Compound of eight octahedra with rotational...
    558 bytes (101 words) - 21:49, 30 April 2016
  • Thumbnail for Compound of ten octahedra
    s = +1 gives UC16. Compound of three octahedra Compound of four octahedra Compound of five octahedra Compound of twenty octahedra Skilling, John (1976)...
    3 KB (198 words) - 15:16, 1 June 2025
  • Thumbnail for Compound of twenty octahedra
    Compound of three octahedra Compound of four octahedra Compound of five octahedra Compound of ten octahedra Skilling, John (1976), "Uniform Compounds...
    3 KB (125 words) - 09:53, 22 March 2025
  • tetrahedral compounds is self-dual or dual to its chiral twin; the regular compound of five cubes and the regular compound of five octahedra are dual to...
    25 KB (1,430 words) - 13:59, 18 February 2025
  • Thumbnail for Compound of five tetrahemihexahedra
    faceting of an icosidodecahedron, shown at left. It shares its edges and triangular faces with the compound of five octahedra. Compound of twenty tetrahemihexahedra...
    2 KB (86 words) - 10:38, 22 March 2025
  • Thumbnail for Compound of five truncated tetrahedra
    truncating each of the tetrahedra in the compound of five tetrahedra. A far-enough truncation creates the compound of five octahedra. Its convex hull...
    2 KB (141 words) - 13:37, 22 March 2025
  • The compound of six octahedra has two forms. One form is a symmetric arrangement of 6 octahedra, considered as square bipyramid. It is a dual of a special...
    679 bytes (70 words) - 18:39, 15 May 2022
  • Thumbnail for Compound of four cubes
    Compound of three octahedra Compound of five octahedra Compound of ten octahedra Compound of twenty octahedra Compound of three cubes Compound of five cubes...
    3 KB (262 words) - 16:37, 25 March 2025
  • Thumbnail for Icosidodecahedron
    common). The vertex arrangement is also shared with the compounds of five octahedra and of five tetrahemihexahedra. In four-dimensional geometry, the icosidodecahedron...
    14 KB (1,362 words) - 03:56, 17 May 2025
  • Thumbnail for Disdyakis triacontahedron
    of light and dark triangles define the fundamental domains of the nonreflective (I) icosahedral symmetry. The edges of a compound of five octahedra also...
    15 KB (1,361 words) - 12:10, 26 April 2025
  • five octahedra Compound of five octahemioctahedra Compound of five small cubicuboctahedra Compound of five small rhombicuboctahedra Compound of five small...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • Thumbnail for Compound of twenty octahedra with rotational freedom
    The compound of twenty octahedra with rotational freedom is a uniform polyhedron compound. It's composed of a symmetric arrangement of 20 octahedra, considered...
    5 KB (602 words) - 17:04, 25 March 2025
  • Thumbnail for Compound of ten tetrahedra
    The compound of ten tetrahedra is one of the five regular polyhedral compounds. This polyhedron can be seen as either a stellation of the icosahedron...
    5 KB (364 words) - 18:11, 21 April 2025
  • Thumbnail for Icosahedral symmetry
    compounds, notably the compound of five cubes (which inscribe in the dodecahedron), the compound of five octahedra, or either of the two compounds of...
    49 KB (2,425 words) - 19:43, 25 April 2025
  • Thumbnail for Regular icosahedron
    Regular icosahedron (category CS1 maint: DOI inactive as of March 2025)
    polyhedra; one of which is Circogonia icosahedra, whose skeleton is shaped like a regular icosahedron. In chemistry, the closo-carboranes are compounds with a...
    46 KB (4,617 words) - 03:44, 8 June 2025
  • Thumbnail for Icosahedron
    them. Other stellations have more than one face in each plane or form compounds of simpler polyhedra. These are not strictly icosahedra, although they are...
    12 KB (890 words) - 18:40, 2 June 2025
  • five octahedra Compound of five octahemioctahedra Compound of five small cubicuboctahedra Compound of five small rhombicuboctahedra Compound of five small...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • Thumbnail for 120-cell
    chosen in five ways, giving a compound of five octahedra, which comes under our definition of stellated icosahedron. (The reciprocal compound, of five cubes...
    131 KB (14,824 words) - 19:21, 6 April 2025
  • community in the British National Vegetation Classification system Compound of five octahedra Hansa-Brandenburg W.23, a German flying boat fighter Wanderer...
    661 bytes (101 words) - 16:39, 7 May 2025
  • Thumbnail for Regular dodecahedron
    Regular dodecahedron (category CS1 maint: DOI inactive as of November 2024)
    chosen in five ways, giving a compound of five octahedra, which comes under our definition of stellated icosahedron. (The reciprocal compound, of five cubes...
    37 KB (3,759 words) - 07:27, 10 June 2025
  • Thumbnail for Compound of six tetrahedra
    in the compound of three cubes, or by stellating each octahedron in the compound of three octahedra. It is one of only five polyhedral compounds (along...
    2 KB (124 words) - 17:57, 21 April 2025
  • Thumbnail for Excavated dodecahedron
    with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's...
    6 KB (336 words) - 12:07, 27 October 2024
  • Thumbnail for The Fifty-Nine Icosahedra
    stellations look outwardly identical. Rule (v) prevents any disconnected compound of simpler stellations. Coxeter was the main driving force behind the work...
    25 KB (1,341 words) - 13:26, 18 April 2025
  • Thumbnail for Great icosahedron
    diagram of . It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence. The great icosahedron...
    7 KB (530 words) - 19:34, 24 March 2025
  • Thumbnail for Small triambic icosahedron
    star polyhedron composed of 20 intersecting non-regular hexagon faces. It has 60 edges and 32 vertices, and Euler characteristic of −8. It is an isohedron...
    4 KB (424 words) - 20:59, 3 March 2025