Medial snub disicositetrachoron

The medial snub disicositetrachoron, or mesdi, is a nonconvex scaliform polychoron that consists of 24 small stellated dodecahedra, 24 great dodecahedra, and 96 disrhombitritrihedra. 3 small stellated dodecahedra, 3 great dodecahedra, and 9 disrhombitritrihedra meet at each vertex.

It can be thought as a kind of sub-symmetrical faceting of the small stellated hecatonicosachoron.

It was found in January 2006 by Mason Green, along with the disnub disicositetrachoron.

Vertex coordinates
The vertices of a medial snub disicositetrachoron of edge length 1, centered at the origin, are given by all even permutations of:

$$\biggl(\pm\frac{1+\sqrt{5}}{4},\pm\frac{\sqrt{5}-1}{4},\pm\frac{1}{2},0\biggr)$$