Compound of ten tetrahedra

It can also be seen as the compound of ten tetrahedra with full icosahedral symmetry (Ih).

It is one of five regular compounds constructed from identical Platonic solids.

It shares the same vertex arrangement as a dodecahedron.

This polyhedron is a stellation of the icosahedron, and given as Wenninger model index 25.

Concave pentagrams can be seen on the compound where the pentagonal faces of the dodecahedron are positioned.