Quatro-icositetradiminished hexacosichoron

The quatro-icositetradiminished hexacosichoron, also known as the tristellatododecahedral enneacontahexachoron, is a convex isochoric polychoron with 96 tri-tridiminished icosahedra as cells. It can be obtained as the dual of the snub disicositetrachoron.

It can also be obtained by removing 4 sets of 24 vertices from the regular hexacosichoron, or by putting tall pyramids on 24 of the cells of the hecatonicosachoron.

Each cell of this polychoron has trigonal symmetry, with 3 kites and 6 isosceles triangles for faces.