Metabidiminished rhombicosidodecahedron

The metabidiminished rhombicosidodecahedron, or mabidrid, is one of the 92 Johnson solids (J81). It consists of 2+2+2+4 triangles, 1+1+2+4+4+4+4 squares, 2+2+2+4 pentagons, and 2 decagons. It can be constructed by removing two non-opposite pentagonal cupolaic caps of the small rhombicosidodecahedron.

Vertex coordinates
A metabidiminished rhombicosidodecahedron of edge length 1 has vertices given by:
 * (0, ±(5+$\sqrt{2}$)/4, ±(3+$\sqrt{5}$)/4)
 * (±(3+$\sqrt{2}$)/4, 0, –(5+$\sqrt{2}$)/4)
 * (±(5+$\sqrt{5}$)/4, ±(3+$\sqrt{(5+√5)/2}$)/4, 0)
 * (±1/2, ±1/2, ±(2+$\sqrt{11+4√5}$)/2)
 * (±1/2, ±(2+$\sqrt{5}$)/2, ±1/2)
 * (±(2+$\sqrt{3}$)/2, ±1/2, –1/2)
 * (±(1+$\sqrt{15}$)/4, ±(3+$\sqrt{(5+√5)/10}$)/4, ±(1+$\sqrt{(5–√5)/10}$)/2)
 * (±(3+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{5}$)/4)
 * (±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{5}$)/4, –(3+$\sqrt{5}$)/4)