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| genus c | 1, orientable |
| Schläfli formula c | {3,6} |
| V / F / E c | 3 / 6 / 9 |
| notes |
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| vertex, face multiplicity c | 3, 1 |
| 3, each with 6 edges 3, each with 6 edges 9, each with 2 edges 3, each with 6 edges 3, each with 6 edges | |
| antipodal sets | 3 of ( v, h2 ), 3 of ( p, h3 ), 9 of ( e, p2 ) |
| rotational symmetry group | D6×C3, with 18 elements |
| full symmetry group | 36 elements. |
| C&D number c | R1.t0-2 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It can be 3-fold covered to give
It can be 7-fold covered to give
It is a 3-fold cover of
It can be 2-split to give
It can be rectified to give
It can be truncated to give
List of regular maps in orientable genus 1.
Its skeleton is 3 . K3.
| Orientable | |
| Non-orientable |
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