genus c | 9, orientable |
Schläfli formula c | {12,12} |
V / F / E c | 4 / 4 / 24 |
notes | ![]() ![]() |
vertex, face multiplicity c | 6, 6 |
12, each with 4 edges | |
rotational symmetry group | 48 elements. |
full symmetry group | 96 elements. |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, sr3sr‑1, srs‑1rs2, r‑1s2r‑7s2 > |
C&D number c | R9.28 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is self-dual.
It can be 5-split to give
It can be 7-split to give
It is a member of series θ° .
List of regular maps in orientable genus 9.
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