Rectified ditrigonary dishecatonicosachoron

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Rectified ditrigonary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymRidtidohi
Coxeter diagramo3x5o3o5/3*b ()
Elements
Cells120 ditrigonary dodecadodecahedra, 120 icosidodecahedra, 120 great icosidodecahedra
Faces2400 triangles, 1440 pentagons, 1440 pentagrams
Edges7200
Vertices1200
Vertex figurePropeller tripod prism, base edge lengths (5–1)/2 and (1+5)/2, side edge length 1
Measures (edge length 1)
Circumradius
Hypervolume200
Dichoral anglesDitdid–5/2–gid: 144°
 Ditdid–5–id: 72°
 Id–3–gid: 60°
Central density39
Related polytopes
ArmyRahi, edge length
RegimentRissidtixhi
ConjugateRectified ditrigonary dishecatonicosachoron
Abstract & topological properties
Flag count86400
Euler characteristic–1080
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The rectified ditrigonary dishecatonicosachoron, or ridtidohi, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 120 icosidodecahedra, and 120 great icosidodecahedra. 2 ditrigonary dodecadodecahedra, 3 icosidodecahedra, and 3 great icosidodecahedra join at each propeller tripod prismatic vertex. As the name suggests, it can be obtained by rectifying the ditrigonary dishecatonicosachoron.

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]