# Great ditrigonary icosidodecahedral prism

Great ditrigonary icosidodecahedral prism Rank4
TypeUniform
SpaceSpherical
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$1$ Hypervolume$\frac{4\sqrt5}{3} ≈ 2.98142$ Dichoral anglesGidtid–3–trip: 90°
Gidtid–5–pip: 90°
Trip–4–pip: $\arccos\left(\sqrt{\frac{5-2\sqrt5}{15}}\right) ≈ 79.18768^\circ$ Height1
Central density6
Number of pieces302
Related polytopes
ArmySemi-uniform Dope
RegimentSidtiddip
DualGreat triambic icosahedral tegum
ConjugateSmall ditrigonary icosidodecahedral prism
Abstract properties
Euler characteristic–10
Topological properties
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.