Compound of six decagrammic prisms

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Compound of six decagrammic prisms
Rank3
TypeUniform
Notation
Bowers style acronymGrassid
Elements
Components6 decagrammic prisms
Faces60 squares, 12 decagrams
Edges60+60+60
Vertices120
Vertex figureIsosceles triangle, edge length (5–5)/2, 2, 2
Measures (edge length 1)
Circumradius
Volume
Dihedral angles4–10/3: 90°
 4–4: 72°
Central density18
Number of external pieces720
Level of complexity54
Related polytopes
ArmySemi-uniform Grid, edge lengths (sipentagon-ditrigon), (dipentagon-rectangle), (ditrigon-rectangle)
RegimentGrassid
DualCompound of six decagrammic tegums
ConjugateCompound of six decagonal prisms
Convex coreDeltoidal hexecontahedron
Abstract & topological properties
Flag count720
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The great rhombisnub dodecahedron, grassid, or compound of six decagrammic prisms is a uniform polyhedron compound. It consists of 60 squares and 12 decagrams, with one decagon and two squares joining at a vertex.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

Coordinates for the vertices of a great rhombisnub dodecahedron of edge length 1 are given by all even permutations of:

External links[edit | edit source]