Hexadecaoctadishemioctachoron

Hexadecaoctadishemioctachoron
	(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Hodho
Elements
Cells	8+8 octahedra; 8 tetrahemihexahedra; 4 octahemioctahedra; 4 cubohemioctahedra;
Faces	32+32+32 triangles; 24 squares; 16 hexagons;
Edges	96
Vertices	24
Measures (edge length 1)
Circumradius
Dichoral angle	Oct–3–oct: 120° ; Oct–3–thah: 120° ; Oho–6–cho: 120° ; Thah–4–cho: 90° ; Oct–3–oho: 60°
Number of external pieces	176
Level of complexity	24
Related polytopes
Army	Ico
Regiment	Ico
Conjugate	None
Abstract & topological properties
Flag count	1920
Euler characteristic	32
Orientable	No
Properties
Symmetry	D4, order 192
Flag orbits	10
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.