genus c | 18, orientable |
Schläfli formula c | {42,14} |
V / F / E c | 6 / 2 / 42 |
notes | |
vertex, face multiplicity c | 7, 42 |
14, each with 6 edges | |
rotational symmetry group | 84 elements. |
full symmetry group | 168 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑2sr3, s‑2r2s‑6r4 > |
C&D number c | R18.8′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
Its Petrie dual is
It can be 5-split to give
It can be built by 2-splitting
List of regular maps in orientable genus 18.
Orientable | |
Non-orientable |