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| genus c | 1, non-orientable |
| Schläfli formula c | {8,2} |
| V / F / E c | 4 / 1 / 4 |
| notes |
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| vertex, face multiplicity c | 1, 8 |
| 1, with 8 edges | |
| antipodal sets | 2 of ( 2v ), of ( 2e ) |
| rotational symmetry group | D16, with 16 elements |
| full symmetry group | D16, with 16 elements |
| its presentation c | < r, s, t | r2, s2, t2, (rs)4, (st)2, (rt)2 > |
| C&D number c | N1.n4′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
It is self-Petrie dual.
It can be 2-fold covered to give
It can be rectified to give
List of regular maps in non-orientable genus 1.
Its skeleton is 4-cycle.
| Orientable | |
| Non-orientable |
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