First noble pterogrammic hexecontahedron

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First noble pterogrammic hexecontahedron
Rank3
TypeNoble
Elements
Faces60 mirror-symmetric hexagons
Edges60+120
Vertices60
Vertex figureMirror-symmetric hexagon
Measures (edge lengths , )
Edge length ratio
Circumradius
Related polytopes
ArmySemi-uniform Ti, edge lengths (pentagons), (between ditrigons)
DualFourth noble unihexagrammic hexecontahedron
Abstract & topological properties
Flag count720
Euler characteristic–60
OrientableNo
Genus62
Properties
SymmetryH3, order 120
ConvexNo
NatureTame


The first noble pterogrammic hexecontahedron is a noble polyhedron. Its 60 congruent faces are mirror-symmetric hexagons meeting at congruent order-6 vertices. It is a faceting of a semi-uniform truncated icosahedron hull.

The ratio between the shortest and longest edges is 1: ≈ 1:2.63595.

Vertex coordinates[edit | edit source]

The vertex coordinates of a first noble pterogrammic hexecontahedron are given by all even permutations of:

Related polyhedra[edit | edit source]

It shares its vertex coordinates with the fifth noble unihexagrammic hexecontahedron.