Small dodecahemicosahedron

The small dodecahemicosahedron, or sidhei, is a quasiregular polyhedron and one of 10 uniform hemipolyhedra. It consists of 12 pentagrams and 10 "hemi" hexagons, with two of each joining at a vertex. Its pentagrammic faces are parallel to those of a dodecahedron, and its hemi hexagonal faces are parallel to those of an icosahedron: hence the name "dodecahemicosahedron". The "small" suffix, used for stellations in general, distinguishes it from the great dodecahemicosahedron, which also has this face arrangement. It can be derived as a rectified petrial great dodecahedron.

It is a faceting of the dodecadodecahedron, keeping the original's pentagrams while also using its equatorial hexagons.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the dodecadodecahedron.