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| genus c | 5, non-orientable |
| Schläfli formula c | {8,4} |
| V / F / E c | 6 / 3 / 12 |
| notes | 
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| vertex, face multiplicity c | 1, 4 |
| rotational symmetry group | 12 elements. |
| full symmetry group | 24 elements. |
Its Petrie dual is the hemicuboctahedron.
It can be diagonalised to give
It is the full shuriken of
Other regular maps in the same manifold.
Four of its Petrie polygons have three edges, and three of them have four edges. So it is not regular.
| Orientable | |
| Non-orientable |
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