Great spinofrustary trisicositetrachoron

Great spinofrustary trisicositetrachoron
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gannifti
Elements
Cells	24 groh, 24 sroh, 24 cotco
Faces	288 squares, 96 hexagons, 144 octagons, 144 octagrams
Edges	576+576
Vertices	288
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Cont
Regiment	Afdec
Conjugate	Snifti
Abstract & topological properties
Euler characteristic	–264
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Tame

The great spinofrustary trisicositetrachoron, or gannifti, is a nonconvex uniform polychoron that consists of 24 great rhombihexahedra, 24 small rhombihexahedra, and 24 cuboctatruncated cuboctahedra. Two great rhombihexahedra, two small rhombihexahedra, and four cuboctatruncated cuboctahedra join at each vertex.

It has the same cell counts as the small spinofrustary trisicositetrachoron, but the great rhombihexahedra and small rhombihexahedra are in different positions.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 15: Afdec Regiment" (#640).