genus c | 15, orientable |
Schläfli formula c | {18,4} |
V / F / E c | 36 / 8 / 72 |
notes | |
vertex, face multiplicity c | 1, 6 |
8, each with 18 edges | |
rotational symmetry group | 144 elements. |
full symmetry group | 288 elements. |
its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r18 > |
C&D number c | R15.5′ |
The statistics marked c are from the published work of Professor Marston Conder. |
It is self-Petrie dual.
It can be 5-split to give
It can be built by 2-splitting
List of regular maps in orientable genus 15.
Orientable | |
Non-orientable |