genus c | 85, orientable |
Schläfli formula c | {171,342} |
V / F / E c | 1 / 2 / 171 |
notes | ![]() ![]() ![]() |
vertex, face multiplicity c | 342, 171 |
171, each with 2 edges | |
rotational symmetry group | 342 elements. |
full symmetry group | 684 elements. |
its presentation c | < r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s73r‑3ts‑1r2tsr‑8sts‑2tr‑79 > |
C&D number c | R85.74 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is a member of series α .
List of regular maps in orientable genus 85.
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