Ninth noble kipiscoidal hecatonicosahedron
The ninth noble kipiscoidal 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.
Ninth noble kipiscoidal hecatonicosahedron  

Rank  3 
Type  Noble 
Elements  
Faces  120 asymmetric pentagons 
Edges  60+60+60+120 
Vertices  120 
Vertex figure  Asymmetric pentagon 
Measures (edge lengths ≈0.56424, ≈0.67399, ≈1.84146, ≈1.90958)  
Edge length ratio  ≈3.38434 
Circumradius  1 
Related polytopes  
Army  Semiuniform Grid, edge lengths ≈0.25957 (between rectangle and ditrigon), ≈0.50099 (between rectangle and dipentagon), ≈0.05784 (between ditrigon and dipentagon) 
Dual  Fourth noble kisombreroidal 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 ratio between the shortest and longest edges is approximately 1:3.38434.
Gallery edit

The convex hull
Related polyhedra edit
It has a very similar appearance to the tenth noble kipiscoidal hecatonicosahedron.