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...

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...

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...

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...

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

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

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

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

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...

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...

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

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...

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...

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

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...

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...

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

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...

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...

3-fold analog of a rectangle. These are all quasi-regular as all edges are isomorphic. The compound of 5-cubes shares the same set of edges and vertices...

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...

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...

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...

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...

of the faces common to both p q r | and p q s |. | p q r – Snub forms (alternated) are given this otherwise unused symbol. | p q r s – A unique snub form...

for the 2006 Bridges Conference. The full snub 120-cell or omnisnub 120-cell, defined as an alternation of the omnitruncated 120-cell, can not be made...