Great dodecicosahedron

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Great dodecicosahedron
Rank3
TypeUniform
Notation
Bowers style acronymGiddy
Elements
Faces20 hexagons, 12 decagrams
Edges60+60
Vertices60
Vertex figureButterfly, edge lengths 3 and (5–5)/2
Measures (edge length 1)
Circumradius
Dihedral angles6–10/3 #1:
 6–10/3 #2:
Central densityeven
Number of external pieces912
Level of complexity56
Related polytopes
ArmyTid, edge length
RegimentGidditdid
DualGreat dodecicosacron
ConjugateSmall dodecicosahedron
Convex coreIcosahedron
Abstract & topological properties
Flag count480
Euler characteristic–28
OrientableNo
Genus30
Properties
SymmetryH3, order 120
ConvexNo
NatureTame

The great dodecicosahedron, or giddy, is a uniform polyhedron. It consists of 20 hexagons and 12 decagrams. Two hexagons and two decagrams meet at each vertex.

It is a faceting of the great ditrigonal dodecicosidodecahedron, using its 12 decagrams along with the 20 hexagons of the great icosicosidodecahedron.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the great ditrigonal dodecicosidodecahedron.

External links[edit | edit source]