Ditetrahedronary disprismatohecatonicosachoron

Ditetrahedronary disprismatohecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dittadphi
Elements
Cells	120 ditdid, 720 stip, 720 pip
Faces	3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Ditetrahedronary disprismatohecatonicosachoron
Abstract properties
Euler characteristic	1920
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The ditetrahedronary disprismatohecatonicosachoron, or dittadphi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 720 pentagrammic prisms, and 720 pentagonal prisms. Four ditrigonary dodecadodecahedra, twelve pentagrammic prisms, and twelve pentagonal prisms join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#823).

• Klitzing, Richard. "dittadphi".