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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
List of regular maps in non-orientable genus 5.
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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