Metabiaugmented dodecahedron

The metabiaugmented dodecahedron, or mabaud, is one of the 92 Johnson solids (J60). It consists of 2+4+4 triangles and 2+2+2+4 pentagons. It can be constructed by attaching pentagonal pyramids to two non-opposite, non-adjacent faces of the regular dodecahedron.

Vertex coordinates
A metabiaugmented dodecahedron of edge length 1 has vertices given by all even permutations of: As well as:
 * (±(3+$\sqrt{5}$)/4, ±1/2, 0),
 * (±(1+$\sqrt{5}$/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{(65–2√5)/75}$)/4),
 * (0, ±(5+4$\sqrt{5}$)/10, (15+$\sqrt{5}$)/20).