genus c | 81, orientable |
Schläfli formula c | {38,171} |
V / F / E c | 2 / 9 / 171 |
notes | ![]() |
vertex, face multiplicity c | 171, 19 |
19, each with 18 edges | |
rotational symmetry group | 342 elements. |
full symmetry group | 684 elements. |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, sr‑2sr‑8s7 > |
C&D number c | R81.171 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 81.
Orientable | |
Non-orientable |
Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720