genus c | 42, orientable |
Schläfli formula c | {170,85} |
V / F / E c | 2 / 1 / 85 |
notes | ![]() ![]() ![]() |
vertex, face multiplicity c | 85, 170 |
85, each with 2 edges | |
rotational symmetry group | 170 elements. |
full symmetry group | 340 elements. |
its presentation c | < r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑1r36s‑11r3s‑33r > |
C&D number c | R42.13′ |
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 42.
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