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| genus c | 3, orientable |
| Schläfli formula c | {12,12} |
| V / F / E c | 1 / 1 / 6 |
| notes |
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| vertex, face multiplicity c | 12, 12 |
| 6, each with 2 edges 4, each with 3 edges 6, each with 2 edges 3, each with 4 edges 6, each with 2 edges 2, each with 6 edges 6, each with 2 edges 6, each with 2 edges | |
| antipodal sets | 3 of ( 2e ) |
| rotational symmetry group | C12, with 12 elements |
| full symmetry group | D24, with 24 elements |
| its presentation c | < r, s, t | r12, r5s-1, t2, (rt)2 >. |
| C&D number c | R3.12 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be rectified to give
It is a member of series s.
Other regular maps in the same manifold.
If we ignore its faces and regard it as a graph, it is isomorphic to a 6-fold 1-cycle.
| Orientable | |
| Non-orientable |
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