Compound of two snub cubes

This uniform polyhedron compound is a composition of the 2 enantiomers of the snub cube.

As a holosnub, it is represented by Schläfli symbol βr{4,3} and Coxeter diagram .

The vertex arrangement of this compound is shared by a convex nonuniform truncated cuboctahedron, having rectangular faces, alongside irregular hexagons and octagons, each alternating with two edge lengths.

Cartesian coordinates for the vertices are all the permutations of where ξ is the real solution to which can be written or approximately 0.543689. ξ is the reciprocal of the tribonacci constant.

Equally, the tribonacci constant, t, just like the snub cube, can compute the coordinates as: This compound can be seen as the union of the two chiral alternations of a truncated cuboctahedron:

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