Second noble kipentagrammic hecatonicosahedron
The second noble kipentagrammic hecatonicosahedron is a noble polyhedron. Its 120 congruent faces are asymmetric pentagrams that meet at congruent order5 vertices. It is a faceting of a semiuniform great rhombicosidodecahedral convex hull.
Second noble kipentagrammic hecatonicosahedron  

Rank  3 
Type  Noble 
Elements  
Faces  120 asymmetric pentagrams 
Edges  60+60+60+120 
Vertices  120 
Vertex figure  Asymmetric pentagon 
Measures (edge lengths ≈1.55622, ≈1.82990, ≈1.96171, ≈1.97610)  
Edge length ratio  ≈1.26981 
Circumradius  1 
Related polytopes  
Army  Semiuniform Grid, edge lengths ≈0.49883 (between rectangle and ditrigon), ≈0.05017 (between rectangle and dipentagon), ≈0.30829 (between ditrigon and dipentagon) 
Dual  First 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 1:1.26981.
Gallery edit

The convex hull