First noble kipiscoidal hecatonicosahedron

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First noble kipiscoidal hecatonicosahedron
Rank3
TypeNoble
Elements
Faces120 asymmetric pentagons
Edges60+120+120
Vertices120
Vertex figureAsymmetric pentagon
Measures (edge lengths ≈0.51029, ≈0.93956, ≈1.29954)
Edge length ratio≈2.54667
Circumradius1
Related polytopes
ArmyNon-uniform Grid, edge lengths ≈0.22676 (between rectangle and ditrigon), ≈0.19060 (between rectangle and dipentagon), ≈0.34364 (between ditrigon and dipentagon)
DualSecond noble kipiscoidal hecatonicosahedron
Convex coreNon-Catalan disdyakis triacontahedron
Abstract & topological properties
Flag count1200
Euler characteristic–120
OrientableNo
Genus122
Properties
SymmetryH3, order 120
Flag orbits10
ConvexNo
NatureTame

The first noble kipiscoidal hecatonicosahedron is a noble polyhedron. Its 120 congruent faces are asymmetric pentagons that meet at congruent order-5 vertices. It is a faceting of a non-uniform great rhombicosidodecahedral convex hull.

The ratio between the shortest and longest edges is approximately 1:2.54667.