In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24...

pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snub cube. In crystallography it is also called a gyroid. It has two distinct forms...

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...

as partly snubbed 4-polytope, only within this symmetry group it has the full analogy to the Kepler snubs, i.e. the snub cube and the snub dodecahedron...

geometry, a snub is an operation applied to a polyhedron. The term originates from Kepler's names of two Archimedean solids, for the snub cube (cubus simus)...

filling them up with equilateral triangles. Examples can be found in snub cube and snub dodecahedron. The resulting construction of these solids gives the...

other. The snub cubes in this case are uniform, but the rest of the cells are not. The cantic snub cubic honeycomb is constructed by snubbing the truncated...

tetrahedron, Cuboctahedron, Truncated cube, Truncated octahedron, Rhombicuboctahedron, Truncated cuboctahedron, Snub cube, Icosidodecahedron, Truncated dodecahedron...

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

to a nonuniform snub cube with chiral octahedral symmetry, a nonuniform rhombicuboctahedron with pyritohedral symmetry (the cantic snub octahedron) and...

a cube can also be truncated by a plane (e.g., spanned by the three neighboring vertices), resulting in a trirectangular tetrahedron. The snub cube is...

Snub octahedron may refer to: Regular icosahedron Snub cube, or snub cuboctahedron This disambiguation page lists articles associated with the title Snub...

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 Coxeter...

two solids are not their own mirror images. They are dual to the snub cube and snub dodecahedron respectively, which are also chiral. Eleven of the thirteen...

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...

aC = aO = eT Truncated cube tC Truncated octahedron tO = bT Rhombicuboctahedron eC = eO truncated cuboctahedron bC = bO snub cube sC = sO icosidodecahedron...

vertex is represented by { p , q } {\displaystyle \{p,q\}} . For example, the cube has 3 squares around each vertex and is represented by {4,3}. A regular 4-dimensional...

given Coxeter diagram , and symmetry [4,3,3]+, and constructed from 8 snub cubes, 16 icosahedra, 24 square antiprisms, 32 octahedra (as triangular antiprisms)...

These include transformations that combine a reflection and a rotation. A cube has the same set of symmetries, since it is the polyhedron that is dual to...

because the vertex figure of the 24-cell is a cube and the cuts are equidistant from the vertex. The snub truncation of the 24-cell cuts each edge into...

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

can then be alternated to produce another nonuniform polychoron with 48 snub cubes, 144 square antiprisms, 192 octahedra (as triangular antiprisms), three...

vertices is two edges in a row, and then a turn and one more edge. Tetrakis snub cube k4sC Spherical Models, IV. Geodesic domes, p.83 Photo 36,{3,5+}2,1 John...

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...

example of the truncation of a cube, using four steps of a continuous truncating process between a full cube and a rectified cube. The final polyhedron is a...

(Nonregulars not given on this list) 67–109: 43 non-convex non-snub uniform 110–119: 10 non-convex snub uniform Chi: the Euler characteristic, χ. Uniform tilings...

= 2 {\displaystyle x+x^{-3}=2} . It is important in the study of the snub cube. The reciprocal of the tribonacci constant, expressed by the relation...

2008, Robert Webb discovered a new noble polyhedron, a faceting of the snub cube. This was the first new class of noble polyhedra (with chiral octahedral...

name given to it by Kepler. The vertices of the two tetrahedra define a cube, and the intersection of the two define a regular octahedron, which shares...

Cube Square prism Cuboid Rhombohedron Trigonal trapezohedron Square antiprism Triakis tetrahedron Elongated triangular bipyramid Gyrobifastigium Snub...