mirror image. Taking them together yields the compound of two snub cubes. This snub cube has edges of length α = 2 + 4 t − 2 t 2 {\displaystyle \alpha...

This uniform polyhedron compound is a composition of the 2 enantiomers of the snub cube. As a holosnub, it is represented by Schläfli symbol βr{4,3} and...

Compound of two icosahedra Compound of two snub cubes Skilling, John (1976), "Uniform Compounds of Uniform Polyhedra", Mathematical Proceedings of the...

icosahedron, as a uniform snub tetrahedron, is similar to these snub-pair compounds: compound of two snub cubes and compound of two snub dodecahedra. Together...

dodecadodecahedra Compound of two small stellated dodecahedra Compound of two snub cubes Compound of two snub dodecadodecahedra Compound of two snub dodecahedra...

construction of polyhedra, space-filling and honeycombs, polycubes, as well as cubes in compounds, spherical, and topological space. The cube was discovered...

tetrahedron , is similar to these snub-pair compounds: compound of two icosahedra, compound of two snub cubes and compound of two snub dodecahedra. Skilling, John...

symmetry, 68-75: enantiomorph pairs Compound of three octahedra Compound of four cubes Two polyhedra that are compounds but have their elements rigidly locked...

nonuniform polychoron with 48 snub cubes, 144 square antiprisms, 192 octahedra (as triangular antiprisms), three kinds of 2016 tetrahedra (288 tetragonal...

of the tetrahedra can also be seen as the degenerate faces of the original cube. A snub (in Coxeter's terminology) can be seen as an alternation of a...

dodecadodecahedra Compound of two small stellated dodecahedra Compound of two snub cubes Compound of two snub dodecadodecahedra Compound of two snub dodecahedra...

In geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells...

disprismatotesseractihexadecachoron has 16 tetrahedra, 32 cubes, and 32 triangular prisms. Each vertex is shared by 4 cubes, 3 triangular prisms and one tetrahedron....

vertices. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two snub dodecahedra...

with two nested holes, represents a compound polyhedra with both alternated halves, retaining the original full symmetry. A snub is a half form of a truncation...

up as a lower pyritohedral symmetry, and is called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen...

uniform, i.e. the symmetry group of the compound acts transitively on the compound's vertices. The uniform polyhedron compounds were first enumerated by John...

snub cube: Snub polyhedra have Wythoff symbol | p q r and by extension, vertex configuration 3.p.3.q.3.r. Retrosnub polyhedra (a subset of the snub polyhedron...

prism is joined to two cuboctahedra at its two ends. A half-symmetry construction of the cantellated 24-cell, also called a cantic snub 24-cell, as , has...

the respective vertices of the truncated octahedron. E.g. the 3 subgroups with 24 elements correspond to a nonuniform snub cube with chiral octahedral...

576. (†) The snub 24-cell here, despite its common name, is not analogous to the snub cube; rather, it is derived by an alternation of the truncated...

1+4{\sqrt {2}}\right)} The full snub 5-cube or omnisnub 5-cube, defined as an alternation of the omnitruncated 5-cube is not uniform, but it can be given...

form of the tiling, dual to the snub square tiling, has tiles with the minimum possible perimeter among all pentagonal tilings. Another, overlaying two flattened...

form a vertex, edge, and face-uniform tessellation of space. This and the regular tessellation of cubes are the only such uniform honeycombs in 3-dimensional...

constructed from a cube by drawing a smaller one in the middle of each face, parallel to the cube's edges. After removing the edges of a cube, the squares may...

in a 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...

diameters of these 600 cubes. The three tesseracts in each 24-cell overlap, and each √3 chord is a long diameter of two different cubes, in two different...

other cases. Two pyritohedra with swapped nonzero coordinates are in dual positions to each other like the dodecahedra in the compound of two dodecahedra...

considered as the center of 12 regular dodecahedron faces. As two opposing tetrahedra can be inscribed in a cube, and five cubes can be inscribed in a dodecahedron...

Examples in 4 dimensions are the 24-cell, snub 24-cell, 6-6 duoprism, 6-6 duopyramid. In 6 dimensions 6-cube, 6-orthoplex, 221, 122. It is also the Petrie...