Dodecahedronary cubichoron

Dodecahedronary cubichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Dac
Elements
Components	75 tesseracts
Cells	600 cube as 120 rhom
Faces	1800 squares
Edges	2400
Vertices	1200 as 120 fissary
Vertex figure	Icosicosahedron, edge length √2
Measures (edge length 1)
Circumradius	$1$
Inradius	${\frac {1}{2}}=0.5$
Hypervolume	$75$
Dichoral angle	$90^{\circ }$
Related polytopes
Army	Ex
Regiment	Sishi
Dual	Stellated dodecahedronary hexacosichoron
Conjugate	Dodecahedronary cubichoron
Convex core	Hecatonicosachoron
Properties
Symmetry	H4, order 14400
Nature	Tame

The dodecahedronary cubichoron is a uniform polychoron compound. It is a compound of 75 tesseracts. 10 tesseracts meet at each vertex.

Vertex coordinates

The vertex coordinates are the same as those of its regiment colonel, the small stellated hecatonicosachoron.

Related polychora

This compound can be obtained from the dodecahedronary hexacosichoron by replacing each icositetrachoron with its inscribed great icositetrachoron.

Various truncates of this compound are also uniform. Cantellating this compound has the octahedral cells blend out, forming a compound of 25 inverted prismatoicositetrachora.