8, each with 10 edges
40, each with 2 edges
4, each with 20 edges
20, each with 4 edges
8, each with 10 edges
40, each with 2 edges
4, each with 20 edges
20, each with 4 edges
4, each with 20 edges
20, each with 4 edges
| genus c | 17, orientable |
| Schläfli formula c | {20,20} |
| V / F / E c | 4 / 4 / 40 |
| notes |
|
| vertex, face multiplicity c | 10, 10 |
| 20, each with 4 edges 8, each with 10 edges 40, each with 2 edges 4, each with 20 edges 20, each with 4 edges 8, each with 10 edges 40, each with 2 edges 4, each with 20 edges 20, each with 4 edges 4, each with 20 edges 20, each with 4 edges | |
| rotational symmetry group | 80 elements. |
| full symmetry group | 160 elements. |
| its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, srs‑1rs2, r2s‑1r12s‑1rs‑2r > |
| C&D number c | R17.37 |
| The statistics marked c are from the published work of Professor Marston Conder. | |
It is self-dual.
Its Petrie dual is
It can be 3-split to give
It is its own 3-hole derivative.
It is its own 7-hole derivative.
It is its own 9-hole derivative.
It is a member of series θ°.
List of regular maps in orientable genus 17.
| Orientable | |
| Non-orientable |