Icositetradiminished faceted hexacosichoron

The icositetradiminished faceted hexacosichoron, or idfix, is a coincidic scaliform polychoron that consists of 24 icosahedra, 24 great dodecahedra, and 96 tridiminished icosahedra. 3 icosahedra, 3 great dodecahedra, and 9 tridiminished icosahedra meet at each vertex. It can be formed by diminishing the 24 vertices of an inscribed icositetrachoron from a faceted hexacosichoron.

The icosahedra and great dodecahedra lie in the same hyperplanes, forming small complex icosidodecahedron combo-cells, making the polychoron coincidic.

Vertex coordinates
The vertices of an icositetradiminished faceted hexacosichoron of edge length 1, centered at the origin, are the same as those of the snub disicositetrachoron, given by all even permutations of:
 * $$\left(±\frac{3+\sqrt5}{4},\,±\frac{1+\sqrt5}{4},\,±\frac12,\,0\right).$$

Related polychora
This polychoron has the same edges as the snub disicositetrachoron, and it also has all of its triangles as well as some additional pentagons.