genus c | 82, orientable |
Schläfli formula c | {12,6} |
V / F / E c | 108 / 54 / 324 |
notes | ![]() |
vertex, face multiplicity c | 1, 3 |
54, each with 12 edges | |
rotational symmetry group | 648 elements. |
full symmetry group | 1296 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑3)2, r‑2s2r‑1s2rs‑1rs‑1r‑1 > |
C&D number c | R82.29′ |
The statistics marked c are from the published work of Professor Marston Conder. |
List of regular maps in orientable genus 82.
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