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| name | compound of small icosihemidodecahedron and small icosihemidodecacron, (VRML) |
| dual | compound of small icosihemidodecacron and small icosihemidodecahedron |
| symbol | (3/2 3|5) |
| faces | 56 |
| vertices | 56 |
| edges | 120 |
| self intersected faces | 10 |
| nonconvex faces | 30 |
| vertices per face | 3 | 4 | 10 |
| number of such faces | 20 | 30 | 6 |