Excavated dodecahedron
The hollowed dodecahedron is a concave polyhedron composed of 60 equilateral triangles and is one of the star bodies.
20 of the 32 corners are identical to those of a dodecahedron, which forms the convex hull of the star body. The remaining inner 12 corners form the vertices of an icosahedron.
Formation
From a dodecahedron (page length) are twelve Fünfeckpyramiden (), the bases of which are congruent with the boundary faces of the dodecahedron, subtracted.
Furthermore, this polyhedron is a (ref.: Ef1g1 ) of the 59 possible " Most busbars " of the icosahedron.
Related polyhedra
Dodekaederstern
Dodecahedron ( convex hull )
Icosahedron (core)
Equivalent to the hollowed dodecahedron - in terms of surfaces, corners and edges number - are the Pentakisdodekaeder and Dodekaederstern whose pyramids are, however, directed instead to the outside to the inside and have different side lengths.