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| genus c | 5, non-orientable |
| Schläfli formula c | {6,6} |
| V / F / E c | 3 / 3 / 9 |
| notes | 
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| vertex, face multiplicity c | 3, 3 |
| 6, each with 3 edges 9, each with 2 edges 3, each with 6 edges 3, each with 6 edges 3, each with 6 edges | |
| antipodal sets | 3 of ( v, p2 ), 3 of ( f, h3 ), 9 of ( e, h ) |
| rotational symmetry group | D6×D6, with 36 elements |
| full symmetry group | D6×D6, with 36 elements |
| its presentation c | < r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r6, s6, s‑1r‑3s2t > |
| C&D number c | N5.4 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 2-fold covered to give
It can be rectified to give
It is the half shuriken of
It is a member of series ο'° .
It is a member of series ο'°' .
List of regular maps in non-orientable genus 5.
Its skeleton is 3 . K3.
| Orientable | |
| Non-orientable |
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