| Name | STL | Groups | #Vertices | Vertex orders | #Faces | Face orders | #Edges | Conway |
|---|---|---|---|---|---|---|---|---|
| Ditrigonal Dodecadodecahedron | dmccooeySelf-Intersecting Quasi-Regularconcave | 20 | 20{6} | 24 | 24{5} | 42 | ||
| Dodecadodecahedron | dmccooeySelf-Intersecting Quasi-Regularconcave | 30 | 30{4} | 24 | 24{5} | 52 | ||
| Great Ditrigonal Icosidodecahedron | dmccooeySelf-Intersecting Quasi-Regularconcave | 20 | 20{6} | 32 | 12{5}+20{3} | 50 | ||
| Great Icosidodecahedron | dmccooeySelf-Intersecting Quasi-Regularconcave | 30 | 30{4} | 32 | 12{5}+20{3} | 60 | ||
| Small Ditrigonal Icosidodecahedron | dmccooeySelf-Intersecting Quasi-Regularconcave | 20 | 20{6} | 32 | 12{5}+20{3} | 50 |