genus c | 10, orientable |
Schläfli formula c | {3,12} |
V / F / E c | 18 / 72 / 108 |
notes | |
vertex, face multiplicity c | 1, 1 |
36, each with 6 edges | |
rotational symmetry group | 216 elements. |
full symmetry group | 432 elements. |
its presentation c | < r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (sr‑1s)3, s12 > |
C&D number c | R10.2 |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be 2-split to give
List of regular maps in orientable genus 10.
Orientable | |
Non-orientable |