Small ditetrahedrofissary dishecatonicosachoron

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Small ditetrahedrofissary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSadtifady
Coxeter diagram(x3/2o5x3/2o5*a5*c)/2
Elements
Cells120 icosidodecahedra, 120 small dodecicosidodecahedra
Faces2400 triangles, 1440 pentagons, 720 decagons
Edges3600
Vertices600
Vertex figureCompound of 3 crossed rectangular trapezoprisms, edge lengths 1 and (1+5)/2 (base) and (5+5)/2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSaddid–10–saddid: 144º
 Id–3–saddid: 60º
 Id–5–saddid: 36º
Related polytopes
ArmyHi
RegimentSidtaxhi
ConjugateGreat ditetrahedrofissary dishecatonicosachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The small ditetrahedrofissary dishecatonicosachoron, or sadtifady, is a nonconvex fissary uniform polychoron that consists of 120 icosidodecahedra and 120 small dodecicosidodecahedra. 6 icosidodecahedra and 12 small dodecicosidodecahedra 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 small ditetrahedronary hexacosihecatonicosachoron.

External links[edit | edit source]