40, each with 12 edges
24, each with 20 edges
80, each with 6 edges
48, each with 10 edges
24, each with 20 edges
40, each with 12 edges
120, each with 4 edges
120, each with 4 edges
| genus c | 73, orientable |
| Schläfli formula c | {10,10} |
| V / F / E c | 48 / 48 / 240 |
| notes |
|
| vertex, face multiplicity c | 1, 1 |
| 80, each with 6 edges 40, each with 12 edges 24, each with 20 edges 80, each with 6 edges 48, each with 10 edges 24, each with 20 edges 40, each with 12 edges 120, each with 4 edges 120, each with 4 edges | |
| rotational symmetry group | (SL(2,5) ⋊ C2) ⋊ C2, with 480 elements |
| full symmetry group | 960 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, r10, s10, r2s‑1r4sr‑2s2 > |
| C&D number c | R73.78 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be rectified to give
Its 3-hole derivative is
List of regular maps in orientable genus 73.
| Orientable | |
| Non-orientable |