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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 vertices.
It is a chiral polyhedron; that is, 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 cubes, and the convex hull of both sets of vertices is a truncated cuboctahedron.
Kepler first named it in Latin as cubus simus in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from the octahedron as the cube, called it snub cuboctahedron, with a vertical extended Schläfli symbol , and representing an alternation of a truncated cuboctahedron, which has Schläfli symbol .
In geometry, the snubcube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24...
square gyrobicupola; 15 if the mirror images of two enantiomorphs, the snubcube and snub dodecahedron, are counted separately). Here the vertex configuration...
pentagonal icosikaitetrahedron is a Catalan solid which is the dual of the snubcube. In crystallography it is also called a gyroid. It has two distinct forms...
Compound of two inverted snub dodecadodecahedra Compound of two small stellated dodecahedra Compound of two snubcubes Compound of two snub dodecadodecahedra...
In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets, or sides, with three meeting at each vertex. Viewed from a...
icositetrahedron and the pentagonal hexecontahedron, dual to the chiral snubcube and snub dodecahedron. These each come in two enantiomorphs. Not counting the...
Pseudocuboctahedron Rhombicuboctahedron Truncated cuboctahedron Tetradecahedron Snubcube Notice that the cuboctahedron has four hexagonal central planes, inclined...
snubcube: 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...
to a nonuniform snubcube with chiral octahedral symmetry, a nonuniform rhombicuboctahedron with pyritohedral symmetry (the cantic snub octahedron) and...
Snub octahedron may refer to: Icosahedron, with pyritohedral symmetry, s { 3 , 4 } {\displaystyle s{\begin{Bmatrix}3,4\end{Bmatrix}}} , Snubcube, or...
(with Th symmetry), snubcubes, two kinds of cubes: square prisms and rectangular trapezoprisms (topologically equivalent to a cube but with D2d symmetry)...
also be called the Conway snub cuboctahedron in but will be confused with the Coxeter snub cuboctahedron, the snubcube. The snub rhombicuboctahedron can...
uniform polyhedron compound is a composition of the 2 enantiomers of the snubcube. As a holosnub, it is represented by Schläfli symbol βr{4,3} and Coxeter...
same rotations as the tetrahedron, and are somewhat analogous to the snubcube and snub dodecahedron, including some forms which are chiral and some with...
is an Archimedean solid. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal...
up as a lower pyritohedral symmetry, and is called a snub octahedron, snub tetratetrahedron, snub tetrahedron, and pseudo-icosahedron. This can be seen...
first centered square number besides 1 that is also a square number. 27, the cube of 3, the value of 33. 28, the second perfect number. 30, the smallest sphenic...
2008, Robert Webb discovered a new noble polyhedron, a faceting of the snubcube. This was the first new class of noble polyhedra (with chiral octahedral...