36, each with 10 edges
60, each with 6 edges
24, each with 15 edges
60, each with 6 edges
60, each with 6 edges
36, each with 10 edges
60, each with 6 edges
60, each with 6 edges
| genus c | 13, orientable |
| Schläfli formula c | {3,10} |
| V / F / E c | 36 / 120 / 180 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 12, each with 30 edges 36, each with 10 edges 60, each with 6 edges 24, each with 15 edges 60, each with 6 edges 60, each with 6 edges 36, each with 10 edges 60, each with 6 edges 60, each with 6 edges | |
| rotational symmetry group | A5 x S3, with 360 elements |
| full symmetry group | 720 elements. |
| its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s10, sr‑1s2r‑1s2r2s‑1rs2r‑1s2 > |
| C&D number c | R13.1 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
Its Petrie dual is
It can be 2-split to give
Its 3-hole derivative is
List of regular maps in orientable genus 13.
| Orientable | |
| Non-orientable |