• Thumbnail for Compound of five cubes
    The compound of five cubes is one of the five regular polyhedral compounds. It was first described by Edmund Hess in 1876. Its vertices are those of a regular...
    7 KB (427 words) - 01:53, 9 June 2025
  • Thumbnail for Cube
    construction of polyhedra, space-filling and honeycombs, polycubes, as well as cubes in compounds, spherical, and topological space. The cube was discovered...
    62 KB (6,349 words) - 01:53, 10 June 2025
  • Thumbnail for Compound of five tetrahedra
    Compound of ten tetrahedra Compound of five cubes Compound of five truncated tetrahedra Coxeter 1973, p. 98. Coxeter 1973, pp. 47–50, §3.6 The five regular...
    7 KB (650 words) - 13:54, 22 March 2025
  • Thumbnail for Compound of four cubes
    of three cubes Compound of five cubes Compound of six cubes Uniform polyhedron compound WOLFRAM Demonstrations Project: The Bakos Compound Weisstein...
    3 KB (262 words) - 16:37, 25 March 2025
  • regular 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...
    25 KB (1,430 words) - 13:59, 18 February 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 Faceting
    uniform star polyhedra, and three regular polyhedral compound. The uniform stars and compound of five cubes are constructed by face diagonals. The excavated...
    7 KB (442 words) - 14:51, 15 November 2023
  • Thumbnail for Compound of five truncated cubes
    uniform polyhedron compound is a composition of 5 truncated cubes, formed by truncating each of the cubes in the compound of 5 cubes. Cartesian coordinates...
    2 KB (125 words) - 19:44, 21 April 2025
  • Thumbnail for Compound of ten tetrahedra
    the compound of five cubes by replacing each cube with a stella octangula on the cube's vertices (which results in a "compound of five compounds of two...
    5 KB (364 words) - 18:11, 21 April 2025
  • freedom Compound of eight triangular prisms Compound of five cubes Compound of five cuboctahedra Compound of five cubohemioctahedra Compound of five great...
    46 KB (3,547 words) - 00:42, 27 May 2025
  • freedom Compound of eight triangular prisms Compound of five cubes Compound of five cuboctahedra Compound of five cubohemioctahedra Compound of five great...
    30 KB (2,692 words) - 15:23, 9 February 2025
  • the compound of five cubes. A convex polyhedron is a Platonic solid if and only if all three of the following requirements are met. All of its faces are...
    54 KB (5,652 words) - 20:39, 18 June 2025
  • Thumbnail for Rhombic triacontahedron
    stellations. One of the stellations of the rhombic triacontahedron is the compound of five cubes. The total number of stellations of the rhombic triacontahedron...
    12 KB (1,051 words) - 08:31, 4 April 2025
  • Thumbnail for Great ditrigonal icosidodecahedron
    compound of five cubes. Maeder, Roman. "47: great ditrigonal icosidodecahedron". MathConsult. Weisstein, Eric W (2003), CRC concise encyclopedia of mathematics...
    3 KB (165 words) - 00:42, 27 September 2023
  • Tetrahedron (redirect from Alternated cube)
    make a cube, which has 8 vertices. Inscribing tetrahedra inside the regular compound of five cubes gives two more regular compounds, containing five and...
    76 KB (9,506 words) - 04:09, 11 March 2025
  • Thumbnail for Regular dodecahedron
    Regular dodecahedron (category CS1 maint: DOI inactive as of November 2024)
    cube, and five cubes can be inscribed in a dodecahedron, ten tetrahedra in five cubes can be inscribed in a dodecahedron: two opposing sets of five,...
    37 KB (3,759 words) - 07:27, 10 June 2025
  • Thumbnail for Small ditrigonal icosidodecahedron
    dodecadodecahedron (having the pentagrammic faces in common), and the regular compound of five cubes. As a simple polyhedron, it is also a hexakis truncated icosahedron...
    3 KB (154 words) - 08:26, 19 January 2024
  • 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) - 15:20, 18 June 2025
  • Thumbnail for Mathematical beauty
    a means of meditation and comtemplation, for example the study of the Kaballah Sefirot (Tree Of Life) and Metatron's Cube; and also the act of drawing...
    32 KB (3,732 words) - 06:26, 15 April 2025
  • Thumbnail for 360 (number)
    (111111), nine (444), twenty-five (EE), twenty-seven (DD), fifty-one (77), and ninety (44); the sum of six consecutive powers of three (1 + 3 + 9 + 27 + 81...
    6 KB (853 words) - 12:37, 15 May 2025
  • Thumbnail for 120-cell
    in five ways, giving a compound of five octahedra, which comes under our definition of stellated icosahedron. (The reciprocal compound, of five cubes whose...
    131 KB (14,824 words) - 19:21, 6 April 2025
  • Thumbnail for Ditrigonal dodecadodecahedron
    icosidodecahedron (having the pentagonal faces in common), and the regular compound of five cubes. Furthermore, it may be viewed as a facetted dodecahedron: the pentagrammic...
    3 KB (210 words) - 11:02, 4 February 2024
  • geometry of three dimensions, a stellation extends a polyhedron to form a new figure that is also a polyhedron. The following is a list of stellations of various...
    3 KB (109 words) - 21:12, 8 March 2025
  • Thumbnail for Stellation diagram
    diagram or stellation pattern is a two-dimensional diagram in the plane of some face of a polyhedron, showing lines where other face planes intersect with...
    3 KB (348 words) - 10:25, 21 May 2025
  • Thumbnail for Stellated octahedron
    simplest of five regular polyhedral compounds, and the only regular polyhedral compound composed of only two polyhedra. It can be seen as a 3D extension of the...
    13 KB (1,199 words) - 00:57, 16 June 2025
  • Thumbnail for Compound of three octahedra
    same compound of three octahedra is as the dual polyhedron of the compound of three cubes, one of the uniform polyhedron compounds. The six vertices of one...
    10 KB (1,207 words) - 07:24, 30 June 2024
  • 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 Hypercube
    Hypercube (redirect from N-cube)
    {\displaystyle 3} -cubes), 24 {\displaystyle 24} squares ( 2 {\displaystyle 2} -cubes), 32 {\displaystyle 32} line segments ( 1 {\displaystyle 1} -cubes) and 16...
    27 KB (2,223 words) - 11:00, 14 June 2025
  • Thumbnail for Compound of six tetrahedra
    cube 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...
    2 KB (124 words) - 17:57, 21 April 2025
  • Thumbnail for Compound of four octahedra
    of (±2, ±1, ±2) Compound of three octahedra Compound of five octahedra Compound of ten octahedra Compound of twenty octahedra Compound of four cubes Skilling...
    2 KB (131 words) - 05:13, 23 March 2025