Small tritrigonary trishecatonicosachoron

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Small tritrigonary trishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymStittathi
Elements
Cells120 ditrigonary dodecadodecahedra, 120 small dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra
Faces2400 triangles, 1440 pentagons, 1440 pentagrams, 1440 decagons
Edges3600+7200
Vertices2400
Vertex figureInverted retrotriangular cupola, edge lengths 1 (top pseudo-triangle), (1+5)/2 and (5–1)/2 (base propeller), and (5+5)/2 (sides)
Measures (edge length 1)
Circumradius
Dichoral anglesDitdid–5/2–sidditdid: 144°
 Ditdid–5–saddid: 144°
 Saddid–10–sidditdid: 144°
 Saddid–3–sidditdid: 120°
Related polytopes
ArmySemi-uniform sidpixhi, edge lengths (dodecahedra), 1 (tetrahedra)
RegimentStut phiddix
ConjugateGreat tritrigonary trishecatonicosachoron
Abstract & topological properties
Flag count144000
Euler characteristic–2040
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small tritrigonary trishecatonicosachoron, or stittathi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 small dodecicosidodecahedra, and 120 small ditrigonal dodecicosidodecahedra. One ditrigonary dodecadodecahedron, three small dodecicosidodecahedra, and three small ditrigonal dodecicosidodecahedra join at each vertex.

It is a blend of a small tritrigonary hecatonicosihexacosidishecatonicosachoron and a small tritrigonary hexacositrishecatonicosachoron.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small tritrigonary prismatohecatonicosidishexacosichoron.

External links[edit | edit source]