Second noble kipiscoidal hecatonicosahedron

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Second noble kipiscoidal hecatonicosahedron
Rank3
TypeNoble
Elements
Faces120 asymmetric pentagons
Edges60+120+120
Vertices120
Vertex figureAsymmetric pentagon
Measures (edge lengths ≈0.92428, ≈1.62612, ≈1.87044)
Edge length ratio≈2.02368
Circumradius≈1.39437
Related polytopes
ArmyNon-uniform Grid, edge lengths ≈0.54753 (between rectangle and ditrigon), ≈0.21767 (between rectangle and dipentagon), ≈0.39245 (between ditrigon and dipentagon)
DualFirst 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 second 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 1:2.02368.