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| genus c | 3, orientable |
| Schläfli formula c | {4,8} |
| V / F / E c | 4 / 8 / 16 |
| notes | 
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| vertex, face multiplicity c | 4, 1 |
| 4, each with 8 edges 8, each with 4 edges 16, each with 2 edges 8, each with 4 edges 4, each with 8 edges 16, each with 2 edges | |
| antipodal sets | 2 of ( 2v ), 4 of ( 2f ) |
| rotational symmetry group | 32 elements. |
| full symmetry group | 64 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, srs-1rs2 >. |
| C&D number c | R3.5 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its dual is
Its Petrie dual is
It is a 2-fold cover of
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 4-fold 4-cycle.
| Orientable | |
| Non-orientable |
The image on this page is copyright © 2010 N. Wedd