It can be thought of as the convex hull of the cross-polytope in 3 dimensions, or as a 3-antiprism.
It can be thought of as the convex hull of the cross-polytope in 3 dimensions, or as a 3-antiprism. Its Wythoff symbol is 4 | 2 3 ("four bar two three"). Its inradius is one-sixth the square root of 6 times the side length, its circumradius is one-half the square root of 2 times the side length, and its dihedral angle is the inverse cosine of negative 1/3, or about 109 degrees. With a Schafli symbol of {3, 4}, for ten points, what is this Platonic solid, the dual of the cube?
It can be thought of as the convex hull of the cross-polytope in 3 dimensions, or as a 3-antiprism.
{octahedron}