This model is an extension of a truncated dodecahedron. On two of decagonal faces, the decagon serves as the base of a figure with a regular pentagon on top and five squares and five equilateral triangles below. These "augmented" sides have one decafgon between them. The faces of the model total thrity equilateral triangles, ten squares, two regular pentagons, and ten regular decagons.
On Berman's models of regular-faced convex polyhedra, see 1978.1065.01.
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