Snub Cuboctahedron
In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 square (geometry), squares and 32 equilateral triangles. It has 60 edge (geometry), edges and 24 vertex (geometry), vertices. It is a chiral polytope, chiral polyhedron; that is, it has two distinct forms, which are mirror images (or "Chirality (mathematics), 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 s \scriptstyle\begin 4 \\ 3 \end, and representing an Alternation (geometry), alternation of a truncated cuboctahedron, which has Schläfli symbol t \scriptstyle\begin 4 \\ 3 \end. Dimensions For a snub cube with edge length 1, its surface ...
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