4, each with 14 edges
28, each with 2 edges
2, each with 28 edges
14, each with 4 edges
4, each with 14 edges
28, each with 2 edges
2, each with 28 edges
14, each with 4 edges
4, each with 14 edges
28, each with 2 edges
| genus c | 12, orientable |
| Schläfli formula c | {28,14} |
| V / F / E c | 4 / 2 / 28 |
| notes |
|
| vertex, face multiplicity c | 7, 28 |
| 14, each with 4 edges 4, each with 14 edges 28, each with 2 edges 2, each with 28 edges 14, each with 4 edges 4, each with 14 edges 28, each with 2 edges 2, each with 28 edges 14, each with 4 edges 4, each with 14 edges 28, each with 2 edges | |
| rotational symmetry group | 56 elements. |
| full symmetry group | 112 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑1sr2, s2r‑2s8r‑2 > |
| C&D number c | R12.7′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be 3-split to give
It can be 5-split to give
It is its own 3-hole derivative.
It is its own 5-hole derivative.
List of regular maps in orientable genus 12.
| Orientable | |
| Non-orientable |