Ditetrahedrofissary dishecatonicosachoron

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Ditetrahedrofissary dishecatonicosachoron
Dittafady card Bowers.jpeg
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymDittafady
Coxeter diagram(x5o5/3x5o5/3*a3*c)/2
Elements
Cells120 dodecadodecahedra, 120 icosidodecadodecahedra
Faces1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges3600
Vertices600
Vertex figureCompound of 3 crossed rectangular trapezoprisms, edge lengths (5–1)/2 and (1+5)/2 (base) and 3 (sides)
Measures (edge length 1)
Circumradius
Hypervolume125
Dichoral anglesDid–5–ided: 144º
 Ided–6–ided: 120º
 Did–5/2–ided: 72º
Related polytopes
ArmyHi
RegimentDattady
ConjugateDitetrahedrofissary dishecatonicosachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The ditetrahedrofissary dishecatonicosachoron, or dittafady, is a nonconvex fissary uniform polychoron that consists of 120 dodecadodecahedra and 120 icosidodecadodecahedra. 6 dodecadodecahedra and 12 icosidodecadodecahedra join at each vertex.

It is fissary with vertices coinciding by 3, and edges coinciding by two.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]