Metabidiminished icosahedron

The metabidiminished icosahedron, or mibdi, is one of the 92 Johnson solids (J62). It consists of 2+2+2+4 triangles and 2 pentagons. It can be constructed by removing two non-opposite, non-adjacent vertices from a regular icosahedron.

Vertex coordinates
A metabidiminished icosahedron of edge length 1 has the following vertices:


 * (±(1+$\sqrt{5}$)/2, +1/2, 0)
 * (0, ±(1+$\sqrt{5}$)/2, ±1/2)
 * (1/2, 0, ±(1+$\sqrt{5}$)/2)