# Great ditrigonary dishecatonicosachoron

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Great ditrigonary dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidditdy
Coxeter diagram(o3/2x5o3x5/4*a3*c *b5/3*d)/2
Elements
Cells120 great ditrigonary icosidodecahedra, 120 great ditrigonal dodecicosidodecahedra
Faces2400 triangles, 1440 pentagons, 720 decagrams
Edges7200
Vertices1200
Vertex figureTripod trapezoprism, edge lengths 1 and (1+5)/2 (base) and (5–5)/2 (sides)
Measures (edge length 1)
Circumradius${\displaystyle {\sqrt {3}}\approx 1.73205}$
Hypervolume${\displaystyle 5\left(70+33{\sqrt {5}}\right)\approx 718.95122}$
Dichoral anglesGidtid–5–gidditdid: 144°
Gidtid–3–gidditdid: 120°
Gidditdid–10/3–gidditdid: 108°
Related polytopes
ArmyRahi, edge length ${\displaystyle {\frac {3-{\sqrt {5}}}{2}}}$
RegimentRissidtixhi
ConjugateSmall ditrigonary dishecatonicosachoron
Abstract & topological properties
Flag count86400
Euler characteristic–1680
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

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

## Vertex coordinates

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

## Related polychora

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