90, each with 8 edges
180, each with 4 edges
240, each with 3 edges
90, each with 8 edges
72, each with 10 edges
72, each with 10 edges
144, each with 5 edges
72, each with 10 edges
| genus c | 55, orientable |
| Schläfli formula c | {4,10} |
| V / F / E c | 72 / 180 / 360 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 72, each with 10 edges 90, each with 8 edges 180, each with 4 edges 240, each with 3 edges 90, each with 8 edges 72, each with 10 edges 72, each with 10 edges 144, each with 5 edges 72, each with 10 edges | |
| rotational symmetry group | A6 ⋊ C2, with 720 elements |
| full symmetry group | 1440 elements. |
| its presentation c | < r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (sr‑1s)3, s10, s‑1r‑1s2rs‑1rs2r‑1s‑2 > |
| C&D number c | R55.8 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its 3-hole derivative is
List of regular maps in orientable genus 55.
| Orientable | |
| Non-orientable |