The base of this model is a regular octagon, the top a square. Above the octagon is a round of sixteen equilateral triangles, alternating in orientation. Above the triangles is a round of four squares and four triangles. The model has a total of twenty equilateral triangles, four squares, and one regular octagon.
On Berman's models of regular-faced convex polyhedra, see 1978.1065.01.