Small disnubsnub dishexacosichoron

Small disnubsnub dishexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Sidsosadex
Elements
Cells	600 truncated dodecahedra, 600 small dodecicosidodecahedra, 2400 golden hexagrammic antiprisms, 3600 pentagonal prisms
Faces	12000+14400 triangles, 9000 squares, 7200 pentagons, 2400 golden hexagrams, 7200 decagons
Edges	7200+7200+14400
Vertices	3600
Measures (edge length 1)
Circumradius	$\sqrt{5+2\sqrt5} ≈ 3.07768$
Related polytopes
Army	Semi-uniform Srix
Regiment	Sadsadox
Conjugate	Gidsosadex
Abstract & topological properties
Euler characteristic	19800
Orientable	Yes
Properties
Symmetry	H4+, order 7200
Convex	No
Nature	Wild

The small disnubsnub dishexacosichoron, or sidsosadex, is a nonconvex uniform polychoron that consists of 600 truncated dodecahedra, 600 small dodecicosidodecahedra, 4800 octahedra (some of which lie in the same hyperplanes, forming 2400 golden hexagrammic antiprisms), and 3600 pentagonal prisms. Ten truncated dodecahedra, ten small dodecicosidodecahedra, eight octahedra (eight compounds), and ten pentagonal prisms join at each vertex.

It can be obtained as the blend of 5 rixhi and 5 lifpipixhi. In the process, some of the octahedron cells blend out.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small disnub dishexacosichoron.

External links

• Bowers, Jonathan. "Category 27: Sidtaps and Gidtaps" (#1482).