Main Page | See live article | Alphabetical index The snub cube or snub cuboctahedron is an Archimedean solid, usually regarded as a truncated polyhedron derived by truncating either a cube or an octahedron. Canonical coordinates for a snub cube are all the even permutations of (±1, ±ξ, ±1/ξ) with an even number of plusses, along with all the odd permutations with an odd number of plusses, where ξ is the real solution to ξ3+ξ2+ξ=1, which is (3√(17+√297)+3√(17-√297)-1)/3. Taking the even permutations with an odd number of plusses, and the odd permutations with an even number of plusses gives a different snub cube, a mirror image. The snub cube has 38 faces, of which 6 are squares and the other 32 are equilateral triangles. It also has 60 edges, and 24 vertices. In three-dimensional space, it has two distinct forms, which are mirror images (or "enantiomorphs") of each other. In higher-dimensional spaces, these are congruent. The snub cube should not be confused with the truncated cube. External Links The Uniform Polyhedra Virtual Reality Polyhedra The Encyclopedia of Polyhedra This article is from Wikipedia. All text is available under the terms of the GNU Free Documentation License.