The top and bottom faces of this model are regular pentagons. Five equilateral triangles are around the pentagon. Five regular pentagons and five equilateral triangles are below them. Below them are ten squares and below them five squares and five triangles. The faces total seven regular pentagons, fifteen equilateral triangles, and fifteen squares.
On Berman's models of regular-faced convex polyhedra, see 1978.1065.01.