The compound of five icosahedra is uniform polyhedron compound. It's composed of 5 icosahedra, rotated around a common axis. It has icosahedral symmetry...
2 KB (124 words) - 19:31, 21 April 2025
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
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
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
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
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
Cube (redirect from Compound of six cubes with rotational freedom)
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
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
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
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
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
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
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
Platonic solid (redirect from Five regular solids)
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
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
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
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
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
Regular polyhedron (section Regular compounds)
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
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
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
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
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
Great icosahedron (redirect from Sixteenth stellation of 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
Small triambic icosahedron (redirect from First stellation of 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
120-cell (redirect from Compound of 120-cell and 600-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