120, each with 4 edges
80, each with 6 edges
120, each with 4 edges
40, each with 12 edges
80, each with 6 edges
120, each with 4 edges
120, each with 4 edges
120, each with 4 edges
| genus c | 77, orientable |
| Schläfli formula c | {12,10} |
| V / F / E c | 48 / 40 / 240 |
| notes |
|
| vertex, face multiplicity c | 1, 2 |
| 120, each with 4 edges 120, each with 4 edges 80, each with 6 edges 120, each with 4 edges 40, each with 12 edges 80, each with 6 edges 120, each with 4 edges 120, each with 4 edges 120, each with 4 edges | |
| rotational symmetry group | 480 elements. |
| full symmetry group | 960 elements. |
| its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, r‑1s‑1rs2rs‑1r‑1, (sr‑1)4, s10, (sr‑2s2)2 > |
| C&D number c | R77.17′ |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
Its 3-hole derivative is
List of regular maps in orientable genus 77.
| Orientable | |
| Non-orientable |