pentakis dodecahedra

Noun

pentakis dodecahedron (plural pentakis dodecahedra)

1. A Catalan solid equivalent to a dodecahedron with a pentagonal pyramid covering each face, in the end having 60 isosceles triangle faces, 90 edges, and 32 vertices.
   • The pentakis dodecahedron with its full icosahedral symmetry illustrates the fact that it is impossible to form a convex polyhedron with more than sixty identical non-right triangles. If right triangles are permitted then each isosceles triangle of the pentakis dodecahedron can be sub-divided into...1990, Peter Pearce, Structure in Nature Is a Strategy for Design, page 161