View source for Quatro-icositetradiminished hexacosichoron

{{Infobox polytope
|type = [[Uniform dual]]
|img = 
|off = auto
|dim = 4
|obsa = Quidex
|cells = 96 {{p|tri-tridiminished icosahedr}}
|faces = 288 [[isosceles triangle]]s, 144 [[kite]]s
|edges = 96+96+288
|vertices = 24+24+96
|verf = 24+96 {{p|tetrahedr}}, 24 {{p|dodecahedr}}
|symmetry = [[Pyritoicositetrachoric symmetry|F<sub>4</sub>/2]], order 576
|coxeter = {{ACD|p3p4o3o|both=yes}}
|dual = [[Snub disicositetrachoron]]
|flags = 5760
|conv = Yes
|orientable = Yes
|nat = Tame
}}
The '''quatro-icositetradiminished hexacosichoron''', also known as the '''tristellatododecahedral enneacontahexachoron''', is a convex [[isochoric polytope|isochoric]] [[polychoron]] with 96 {{p|tri-tridiminished icosahedr}} as cells. It can be obtained as the [[dual]] of the [[snub disicositetrachoron]].

It can also be obtained as an intersection formed by diminishing 4 sets of 24 vertices, each corresponding to an inscribed [[icositetrachoron]] from the regular [[hexacosichoron]]. Alternatively, it can be constructed by raising tall pyramids on 24 of the cells of the [[hecatonicosachoron]] corresponding to the vertices of an [[icositetrachoron]] such that adjacent cells merge into tri-tridiminished icosahedra.

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

==External links==

*{{Incmats|quidex|Quidex}}

[[Category:Convex uniform dual polychora]]
[[Category:F4/2 symmetry]]
[[Category:Polychora with 96 cells]]