Disprismatointercepted disicositetrachoron

Disprismatointercepted disicositetrachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dapindi
Elements
Cells	24 quith, 24 gocco, 192 trip
Faces	384 triangles, 360 squares, 144 octagrams
Edges	576
Vertices	144
Measures (edge length 1)
Circumradius	$\sqrt{2-\sqrt2} \approx 0.76537$
Related polytopes
Army	Spic
Regiment	Giddic
Conjugate	Dipdi
Abstract properties
Euler characteristic	216
Topological properties
Orientable	No
Properties
Symmetry	F4, order 1152
Convex	No
Nature	Wild

The disprismatointercepted disicositetrachoron, or dapindi, is a nonconvex uniform polychoron that consists of 24 quasitruncated hexahedra, 24 great cubicuboctahedra, and 192 triangular prisms. Four quasitruncated hexahedra, four great cubicuboctahedra, and eight triangular prisms join at each vertex.

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" (#542).