Fourth noble kisombreroidal icositetrahedron

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Fourth noble kisombreroidal icositetrahedron
Rank3
TypeNoble
Elements
Faces24 irregular pentagons
Edges12+12+12+24
Vertices24
Vertex figureIrregular pentagon
Related polytopes
ArmyNonuniform snub cube
DualThird noble kisombreroidal icositetrahedron
Convex coreNon-Catalan pentagonal icositetrahedron
Abstract & topological properties
Flag count240
Euler characteristic-12
Properties
SymmetryB3+, order 24
ConvexNo

The second noble kisombreroidal icositetrahedron is a noble polyhedron. Its 24 congruent faces are irregular pentagons meeting at congruent order-5 vertices. It is a faceting of an isogonal non-uniform snub cubic hull.

The ratio between the longest and shortest edges is 1:1.600025004.