Ditetrahedronary prismatodishecatonicosachoron

The ditetrahedronary prismatodishecatonicosachoron, or datappady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 720 pentagrammic prisms, and 120 rhombicosahedra. Four small ditrigonary icosidodecahedra, twelve pentagrammic prisms, and twelve rhombicosahedra join at each vertex.

Ditetrahedronary prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Datappady
Elements
Cells	120 sidtid, 720 stip, 120 ri
Faces	1200 triangles, 3600 squares, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Great ditetrahedronary prismatodishecatonicosachoron
Abstract & topological properties
Flag count	129600
Euler characteristic	3480
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#844).