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...
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construction of polyhedra, space-filling and honeycombs, polycubes, as well as cubes in compounds, spherical, and topological space. The cube was discovered...
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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...
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of three cubes Compound of five cubes Compound of six cubes Uniform polyhedron compound WOLFRAM Demonstrations Project: The Bakos Compound Weisstein...
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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...
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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...
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uniform star polyhedra, and three regular polyhedral compound. The uniform stars and compound of five cubes are constructed by face diagonals. The excavated...
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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...
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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...
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freedom Compound of eight triangular prisms Compound of five cubes Compound of five cuboctahedra Compound of five cubohemioctahedra Compound of five great...
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freedom Compound of eight triangular prisms Compound of five cubes Compound of five cuboctahedra Compound of five cubohemioctahedra Compound of five great...
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Platonic solid (redirect from Five regular solids)
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...
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stellations. One of the stellations of the rhombic triacontahedron is the compound of five cubes. The total number of stellations of the rhombic triacontahedron...
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compound of five cubes. Maeder, Roman. "47: great ditrigonal icosidodecahedron". MathConsult. Weisstein, Eric W (2003), CRC concise encyclopedia of mathematics...
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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...
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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,...
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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...
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Icosahedral symmetry (section Isomorphism of I with A5)
compounds, notably the compound of five cubes (which inscribe in the dodecahedron), the compound of five octahedra, or either of the two compounds of...
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Mathematical beauty (redirect from Aesthetics of mathematics)
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...
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(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...
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120-cell (redirect from Compound of 120-cell and 600-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...
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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...
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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...
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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...
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Stellated octahedron (redirect from Compound of two tetrahedra)
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...
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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...
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Excavated dodecahedron (redirect from Third stellation of icosahedron)
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...
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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...
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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...
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