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| genus c | 5, non-orientable |
| Schläfli formula c | {12,3} |
| V / F / E c | 12 / 3 / 18 |
| notes |   |
| vertex, face multiplicity c | 1, 6 |
| INF, each with 0 edges | |
| rotational symmetry group | 18 elements. |
| full symmetry group | 36 elements. |
Its Petrie dual is the truncated tetrahedron.
It is the stretched half shuriken of
List of regular maps in non-orientable genus 5.
Four of its Petrie polygons have three edges, and four of them have six edges. So it is not regular.
Its graph is not symmetric: some of its edges partake in 3-cycles, some don't.
| Orientable | |
| Non-orientable |
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