genus c | 15, orientable |
Schläfli formula c | {31,62} |
V / F / E c | 1 / 2 / 31 |
notes | ![]() ![]() ![]() |
vertex, face multiplicity c | 62, 31 |
31, each with 2 edges | |
rotational symmetry group | 62 elements. |
full symmetry group | 124 elements. |
its presentation c | < r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s8r‑3tr7s‑1tr‑1str2tr‑7 > |
C&D number c | R15.20 |
The statistics marked c are from the published work of Professor Marston Conder. |
It can be 2-split to give
It is a member of series α .
List of regular maps in orientable genus 15.
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