Snub cube

A geometric construction of the Tribonacci constant (AC), with compass and marked ruler, according to the method described by Xerardo Neira.

If the original snub cube has edge length 1, its dual pentagonal icositetrahedron has side lengths

To get a snub cube with unit edge length, divide all the coordinates above by the value α given above.

The snub cube is one of a family of uniform polyhedra related to the cube and regular octahedron.