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| genus c | 6, non-orientable |
| Schläfli formula c | {3,10} |
| V / F / E c | 6 / 20 / 30 |
| notes |
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| vertex, face multiplicity c | 2, 1 |
| 6, each with 10 edges 6, each with 10 edges 20, each with 3 edges 12, each with 5 edges 10, each with 6 edges 30, each with 2 edges 20, each with 3 edges 30, each with 2 edges | |
| antipodal sets | 3 of ( v, p, h, h3 ), 10 of ( 2f, p2, p3, p4 ), 15 of ( 2e, 2h4, 2h5 ) |
| rotational symmetry group | A5×C2, with 120 elements |
| full symmetry group | A5×C2, with 120 elements |
| its presentation c | < r, s, t | t2, r-3, (rs)2, (rt)2, (st)2, rs-2rs-1rs-3t >. |
| C&D number c | N6.1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It can be 2-fold covered to give
It can be rectified to give
Other regular maps in the same manifold.
If we ignore its faces and regard it as a graph, it is isomorphic to a double K6.
| Orientable | |
| Non-orientable |
The image on this page is copyright © 2010 N. Wedd