12, each with 3 edges
6, each with 6 edges
|
|
| genus c | 1, orientable |
| Schläfli formula c | {4,4} |
| V / F / E c | 9 / 9 / 18 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 6, each with 6 edges 12, each with 3 edges 6, each with 6 edges | |
| rotational symmetry group | (C3×C3)⋊C4, with 36 elements |
| full symmetry group | 72 elements. |
| C&D number c | R1.s3-0 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 2-fold covered to give
It can be rectified to give
List of regular maps in orientable genus 1.
Its skeleton is K3 × K3.
| C3×C3 |
| Orientable | |
| Non-orientable |
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