Dodecahedronary hexacosichoron

Dodecahedronary hexacosichoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Dox
Elements
Components	25 icositetrachora
Cells	600 octahedra
Faces	2400 triangles
Edges	2400
Vertices	600 as 120 fissary
Vertex figure	Rhombihedron, edge length 1
Measures (edge length 1)
Circumradius	$1$
Inradius	${\frac {\sqrt {2}}{2}}\approx 0.70711$
Hypervolume	$50$
Dichoral angle	$120^{\circ }$
Related polytopes
Army	Ex
Regiment	Sishi
Company	Sidtixhi
Dual	Pentahecatonicosachoron
Conjugate	Dodecahedronary hexacosichoron
Convex core	Hexacosichoron
Properties
Symmetry	H4, order 14400
Nature	Tame

The dodecahedronary hexacosichoron is a uniform polychoron compound. It is a compound of 25 icositetrachora. 5 icositetrachora 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 shares the vertices, edges, and faces of the small ditrigonary hexacosihecatonicosachoron.

The icositetrachora in this compound can be faceted into icositetrahemiicositetrachora in two different ways, forming the small and great dodecahedronary hexacosihemihexacosichoron.

The truncated dodecahedronary hexacosichoron and rectified dodecahedronary hexacosichoron are also uniform compounds.

External links

• Klitzing, Richard. "dox".