Retroditrigonary dishecatonicosachoron

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Retroditrigonary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRidditdy
Coxeter diagram(o5x5/2o5x5/2*a3/2*c)/2
Elements
Cells120 ditrigonary dodecadodecahedra, 120 rhombidodecadodecahedra
Faces1800 squares, 1440 pentagons, 1440 pentagrams
Edges7200
Vertices1200
Vertex figurePropeller tripod trapezoprism, edge lengths (5–1)/2 and (1+5)/2 (base) and 2 (sides)
Measures (edge length 1)
Circumradius
Hypervolume1425
Dichoral anglesDitdid–5–raded: 108°
 Ditdid–5/2–raded: 108°
 Raded–4–raded: 90°
Related polytopes
ArmyRahi
RegimentRissidtixhi
ConjugateRetroditrigonary dishecatonicosachoron
Abstract & topological properties
Euler characteristic–1560
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The retroditrigonary dishecatonicosachoron, or ridditdy, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra and 120 rhombidodecadodecahedra. 2 ditrigonary dodecadodecahedra and 6 rhombidodecadodecahedra 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]