noun. In geometry, a solid of thirty-two faces formed by cutting down the corners of the icosahedron parallel to the faces of the coaxial regular dodecahedron until the new faces just touch at the angles, thus leaving 20 triangular and 12 pentagonal faces. It is one of the thirteen Archimedean solids.

noun. A semiregular polyhedron with twelve faces that are regular pentagons and twenty that are equilateral triangles.

"These are simply extraordinary: hand-drawn images of immensely complex geometrical bodies, among them the 72-sided hebdomicontadissaedron and the very first representation in history of icosidodecahedron, that is, a three-dimensional solid with 20 triangular faces and 12 pentagonal faces."

truncated icosidodecahedron