genus c | 18, orientable |
Schläfli formula c | {40,20} |
V / F / E c | 4 / 2 / 40 |
notes | |
vertex, face multiplicity c | 10, 40 |
10, each with 8 edges | |
rotational symmetry group | 80 elements. |
full symmetry group | 160 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, s6r‑4 > |
C&D number c | R18.9′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be 3-split to give
List of regular maps in orientable genus 18.
Orientable | |
Non-orientable |