Eighth noble kisombreroidal hecatonicosahedron
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Eighth noble kisombreroidal hecatonicosahedron  

Rank  3 
Type  Noble 
Elements  
Faces  120 asymmetric pentagons 
Edges  60+60+60+120 
Vertices  120 
Vertex figure  Asymmetric pentagon 
Measures (edge lengths ≈1.46910, ≈1.75667, ≈1.77792, ≈1.98529)  
Edge length ratio  ≈1.35136 
Circumradius  1 
Related polytopes  
Army  Semiuniform Grid, edge lengths ≈0.18989 (between rectangle and ditrigon), ≈0.51496 (between rectangle and dipentagon), ≈0.08274 (between ditrigon and dipentagon) 
Dual  Sixth noble kipiscoidal hecatonicosahedron 
Convex core  NonCatalan disdyakis triacontahedron 
Abstract & topological properties  
Flag count  1200 
Euler characteristic  –60 
Orientable  Yes 
Genus  31 
Properties  
Symmetry  H_{3}, order 120 
Flag orbits  10 
Convex  No 
Nature  Tame 
History  
Discovered by  Plasmath 
First discovered  2023 
The eighth noble kisombreroidal hecatonicosahedron is a noble polyhedron. Its 120 congruent faces are asymmetric pentagons that meet at congruent order5 vertices. It is a faceting of a semiuniform great rhombicosidodecahedral convex hull.
The ratio between the shortest and longest edges is approximately 1:1.35136.
Gallery[edit  edit source]

The convex hull
Related polyhedra[edit  edit source]
Its convex hull is almost the same as that of the ninth noble kisombreroidal hecatonicosahedron.