Small ditrigonary dishecatonicosachoron

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Small ditrigonary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidditdy
Coxeter diagram(o3x5/2o3/2x5/3*a3*c *b5*d)/2
Elements
Cells120 small ditrigonary icosidodecahedra, 120 small ditrigonal dodecicosidodecahedra
Faces2400 triangles, 1440 pentagrams, 720 decagons
Edges7200
Vertices1200
Vertex figureCrossed ditrigonal trapezoprism, edge lengths 1 and (5–1)/2 (base) and (5+5)/2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesSidditdid–10–sidditdid: 144°
 Sidtid–5/2–sidditdid: 72°
 Sidtid–3–sidditdid: 60°
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateGreat ditrigonary dishecatonicosachoron
Abstract & topological properties
Euler characteristic–1680
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The small ditrigonary dishecatonicosachoron, or sidditdy, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra and 120 small ditrigonal dodecicosidodecahedra. 2 small ditrigonary icosidodecahedra and 6 small ditrigonal dodecicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.

Related polychora[edit | edit source]

Rissidtixhi regiment
Index Name OBSA Company Subcategory
1147 Rectified small ditrigonary hexacosihecatonicosachoron Rissidtixhi Rissidtixhi Main nine
1148 Rectified ditrigonary dishecatonicosachoron Ridtidohi Ridtidohi Main nine
1149 Rectified great ditrigonary hexacosihecatonicosachoron Riggidtixhi Riggidtixhi Main nine
1150 Small ditrigonary dishecatonicosachoron Sidditdy Sidditdy Main nine
1151 Retroditrigonary dishecatonicosachoron Ridditdy Ridditdy Main nine
1152 Great ditrigonary dishecatonicosachoron Gidditdy Gidditdy Main nine
1153 Ditrigonary hexacosidishecatonicosachoron Dittixdy Main nine
1154 Ditrigonary trishecatonicosachoron Dittathi Main nine
1155 Toroidal ditrigonary hexacosidishecatonicosachoron Todtixady Main nine
1156 Small ditrigonary dishecatonicosihecatonicosachoron Sidtid hihy Sixteen trapezics
1157 Ditrigonary hecatonicosidishecatonicosachoron Dithidy Sixteen trapezics

External links[edit | edit source]