Hexadecaoctadishemioctachoron

Hexadecaoctadishemioctachoron
	(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Hodho
Elements
Cells	8+8 oct, 8 thah, 4 oho, 4 cho
Faces	32+32+32 triangles, 24 squares, 16 hexagons
Edges	96
Vertices	24
Measures (edge length 1)
Circumradius
Number of external pieces	176
Level of complexity	24
Related polytopes
Army	Ico
Regiment	Ico
Conjugate	None
Abstract & topological properties
Euler characteristic	32
Orientable	No
Properties
Symmetry	D4, order 192
Convex	No
Nature	Wild

The hexadecaoctadishemioctachoron, or hodho, is a uniform polychoron. It has 16 octahedra of two types, 8 tetrahemihexahedra, 4 central octahemioctahedra, and 4 central cubohemioctahedra, with 2 of each type at each vertex.

As well as being isogonal, it is also isotoxal.