• Thumbnail for Compound of five icosahedra
    The compound of five icosahedra is uniform polyhedron compound. It's composed of 5 icosahedra, rotated around a common axis. It has icosahedral symmetry...
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  • Thumbnail for Compound of five great icosahedra
    polyhedron compound is a composition of 5 great icosahedra, in the same arrangement as in the compound of 5 icosahedra. The triangles in this compound decompose...
    1 KB (84 words) - 13:29, 22 March 2025
  • Thumbnail for Compound of five tetrahedra
    Fifty-Nine Icosahedra (3rd ed.). Tarquin. ISBN 978-1-899618-32-3. MR 0676126. Weisstein, Eric W. "Tetrahedron 5-Compound". MathWorld. Metal Sculpture of Five Tetrahedra...
    7 KB (650 words) - 13:54, 22 March 2025
  • Thumbnail for Compound of five great dodecahedra
    polyhedron compound is a composition of 5 great dodecahedra, in the same arrangement as in the compound of 5 icosahedra. It is one of only five polyhedral...
    2 KB (97 words) - 13:26, 8 December 2024
  • Compound of five great dodecahedra Compound of five great icosahedra Compound of five great rhombihexahedra Compound of five icosahedra Compound of five...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • Thumbnail for Icosahedron
    Icosahedron (redirect from Icosahedra)
    plural can be either "icosahedra" (/-drə/) or "icosahedrons". There are infinitely many non-similar shapes of icosahedra, some of them being more symmetrical...
    12 KB (890 words) - 18:40, 2 June 2025
  • 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 Cube
    Francis. p. 252. ISBN 978-1-4665-5464-1. Jessen, Børge (1967). "Orthogonal icosahedra". Nordisk Matematisk Tidskrift. 15 (2): 90–96. JSTOR 24524998. MR 0226494...
    62 KB (6,319 words) - 06:38, 2 June 2025
  • Thumbnail for Compound of two small stellated dodecahedra
    polyhedron compound is a composition of 2 small stellated dodecahedra, in the same arrangement as in the compound of 2 icosahedra. It is one of only five polyhedral...
    1 KB (105 words) - 19:49, 21 April 2025
  • Thumbnail for Compound of five small stellated dodecahedra
    polyhedron compound is a composition of 5 small stellated dodecahedra, in the same arrangement as in the compound of 5 icosahedra. It is one of only five polyhedral...
    2 KB (97 words) - 14:09, 22 March 2025
  • Thumbnail for Stellation
    Stellation (redirect from Compound polygon)
    supported. Miller stellations. In "The Fifty-Nine Icosahedra" Coxeter, Du Val, Flather and Petrie record five rules suggested by Miller. Although these rules...
    18 KB (2,189 words) - 08:24, 31 December 2024
  • Compound of five great dodecahedra Compound of five great icosahedra Compound of five great rhombihexahedra Compound of five icosahedra Compound of five...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • Thumbnail for The Fifty-Nine Icosahedra
    Fifty-Nine Icosahedra is a book written and illustrated by H. S. M. Coxeter, P. Du Val, H. T. Flather and J. F. Petrie. It enumerates certain stellations of the...
    25 KB (1,341 words) - 13:26, 18 April 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 Crystal structure of boron-rich metal borides
    B12 icosahedra which are linked into a three-dimensional boron framework, and the metal atoms reside in the voids of this framework. Those icosahedra are...
    76 KB (8,855 words) - 03:46, 19 March 2025
  • compound of two icosahedra. Eight of the vertices of the dodecahedron are shared with the cube. Completing all orientations leads to the compound of five...
    53 KB (5,642 words) - 21:32, 1 June 2025
  • Thumbnail for Final stellation of the icosahedron
    intersections of these planes as edges. The Fifty Nine Icosahedra enumerates the stellations of the regular icosahedron, according to a set of rules put forward...
    12 KB (1,085 words) - 04:39, 14 May 2025
  • Thumbnail for Allotropes of boron
    of twelve boron atoms. The structure consists of B 12 icosahedra in which each boron atom has five nearest neighbors within the icosahedron. If the bonding...
    30 KB (3,275 words) - 19:47, 24 November 2024
  • 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) - 02:36, 27 May 2025
  • of various polyhedra. List of Wenninger polyhedron models The Fifty-Nine Icosahedra Wenninger, p. 69, 44 Second stellation of the cuboctahedron Pawley,...
    3 KB (109 words) - 21:12, 8 March 2025
  • Thumbnail for Stellation diagram
    stellation diagrams for different kinds of faces. List of Wenninger polyhedron models The fifty nine icosahedra M Wenninger, Polyhedron models; Cambridge...
    3 KB (348 words) - 10:25, 21 May 2025
  • and five regular compounds of regular polyhedra: The property of having a similar arrangement of faces around each vertex can be replaced by any of the...
    32 KB (3,132 words) - 17:55, 2 April 2025
  • Thumbnail for Kepler–Poinsot polyhedron
    The Fifty-Nine Icosahedra) The three others are all the stellations of the dodecahedron. The great stellated dodecahedron is a faceting of the dodecahedron...
    32 KB (2,320 words) - 21:42, 21 May 2025
  • Thumbnail for Snub 24-cell
    convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells. Five tetrahedra and three icosahedra meet at each vertex. In total...
    19 KB (1,780 words) - 03:26, 21 October 2024
  • Thumbnail for Frank–Kasper phases
    declination locus. They came up with the methodology to pack asymmetric icosahedra into crystals using other polyhedra with larger coordination numbers....
    8 KB (913 words) - 11:43, 3 February 2025
  • groupings. back to top back to top back to top List of uniform polyhedra The fifty nine icosahedra List of polyhedral stellations Wenninger, Magnus (1974)...
    44 KB (263 words) - 10:47, 20 March 2025
  • Thumbnail for Rectified 600-cell
    of 600 regular octahedra and 120 icosahedra cells. Each edge has two octahedra and one icosahedron. Each vertex has five octahedra and two icosahedra...
    7 KB (492 words) - 22:08, 25 March 2025
  • Thumbnail for Great icosahedron
    J. F. (1999). The fifty-nine icosahedra (3rd ed.). Tarquin. ISBN 978-1-899618-32-3. MR 0676126. (1st Edn University of Toronto (1938)) H.S.M. Coxeter...
    7 KB (530 words) - 19:34, 24 March 2025
  • Thumbnail for Small triambic icosahedron
    J. F. (1999). The fifty-nine icosahedra (3rd ed.). Tarquin. ISBN 978-1-899618-32-3. MR 0676126. (1st Edn University of Toronto (1938)) Wenninger, Magnus...
    4 KB (424 words) - 20:59, 3 March 2025
  • Thumbnail for 120-cell
    Fifty-Nine Icosahedra. Vol. 6. University of Toronto Studies (Mathematical Series). Coxeter, H.S.M. (1970), "Twisted Honeycombs", Conference Board of the Mathematical...
    131 KB (14,824 words) - 19:21, 6 April 2025