Inverted disicositetrachoron

Inverted disicositetrachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Idi
Elements
Cells	24 quith, 24 gocco
Faces	192 triangles, 72 squares, 144 octagrams
Edges	576
Vertices	144
Vertex figure	Blend of two wedges, edge lengths 1 (blended base), √2–√2 (sides), and √2 (top edges)
Measures (edge length 1)
Circumradius	${\sqrt {2-{\sqrt {2}}}}\approx 0.76537$
Related polytopes
Army	Spic
Regiment	Giddic
Conjugate	Ridi
Abstract & topological properties
Euler characteristic	–72
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Tame

The inverted disicositetrachoron, or idi, is a nonconvex uniform polychoron that consists of 24 quasitruncated hexahedra and 24 great cubicuboctahedra. Four quasitruncated hexahedra and four great cubicuboctahedra join at each vertex.

It can be constructed as the blend of 3 wavitoth, with the oct cells blending out.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great distetracontoctachoron.

External links

• Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#540).