Great dirhombicosidodecacron

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Great dirhombicosidodecacron
Great dirhombicosidodecacron.png
Rank3
TypeUniform dual
SpaceSpherical
Notation
Coxeter diagramp3p5/2p3/2p5/3*aØ*c *bØ*d
Elements
Faces60
Edges120+120
Vertices40+60+24
Related polytopes
DualGreat dirhombicosidodecahedron
Abstract & topological properties
Euler characteristic–56
OrientableYes
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The great dirhombicosidodecacron is the dual of the great dirhombicosidodecahedron. Because the latter polyhedron has faces going through its middle, some of the great dirhombicosidodecacron's vertices are at an ideal points infinitely far away from the origin (in projective space). This is usually represented in images and models by prisms extending an arbitrarily long distance.

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