Disnub disicositetrachoron

The disnub disicositetrachoron, or disdi, is a nonconvex scaliform polychoron that consists of 24 small stellated dodecahedra, 24 great dodecahedra, 96 regular semicupolaically-faceted great icosahedra, and 96 semicupolaically-faceted icosahedra. 3 small stellated dodecahedra, 3 great dodecahedra, 9 semicupolaically-faceted great icosahedra, and 9 semicupolaically-faceted icosahedra 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 medial snub disicositetrachoron. ~15 years later, several hundred uniform polychora would be found in its regiment, starting with the snub hexecontatetrasnub-snub disoctachoron, found by Polytope Discord user _Geometer.

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

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