# Great ditrigonary icosidodecahedral prism

Great ditrigonary icosidodecahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymGidtiddip
Coxeter diagram (x x3/2o3o5*b)
Elements
Cells20 triangular prisms, 12 pentagonal prisms, 2 great ditrigonary icosidodecahedra
Faces40 triangles, 60 squares, 24 pentagons
Edges20+120
Vertices40
Vertex figureTripod pyramid, edge lengths 1, (1+5)/2 (base), 2 (legs)
Measures (edge length 1)
Circumradius${\displaystyle 1}$
Hypervolume${\displaystyle {\frac {4{\sqrt {5}}}{3}}\approx 2.98142}$
Dichoral anglesGidtid–3–trip: 90°
Gidtid–5–pip: 90°
Trip–4–pip: ${\displaystyle \arccos \left({\sqrt {\frac {5-2{\sqrt {5}}}{15}}}\right)\approx 79.18768^{\circ }}$
Height1
Central density6
Number of external pieces302
Related polytopes
ArmySemi-uniform Dope
RegimentSidtiddip
DualGreat triambic icosahedral tegum
ConjugateSmall ditrigonary icosidodecahedral prism
Abstract & topological properties
Euler characteristic–10
OrientableYes
Properties
SymmetryH3×A1, order 240
ConvexNo
NatureTame

The great ditrigonary icosidodecahedral prism or gidtiddip, is a prismatic uniform polychoron that consists of 2 great ditrigonary icosidodecahedra, 12 pentagonal prisms, and 20 triangular prisms. Each vertex joins 1 great ditrigonary icosidodecahedron, 3 pentagonal prisms, and 3 triangular prisms. As the name suggests, it is a prism based on the great ditrigonary icosidodecahedron.

## Vertex coordinates

Its vertices are the same as those of its regiment colonel, the small ditrigonary icosidodecahedral prism.