genus ^{c} | 5, orientable |
Schläfli formula ^{c} | {6,6} |
V / F / E ^{c} | 8 / 8 / 24 |
notes | |
vertex, face multiplicity ^{c} | 2, 2 |
12, each with 4 edges | |
rotational symmetry group | 48 elements. |
full symmetry group | 96 elements. |
its presentation ^{c} | < r, s, t | t^{2}, (rs)^{2}, (rt)^{2}, (st)^{2}, r^{6}, (rs^{‑1}r)^{2}, (rs^{‑2})^{2} > |
C&D number ^{c} | R5.10 |
The statistics marked ^{c} are from the published work of Professor Marston Conder. |
It is self-dual.
Its Petrie dual is
It can be built by 2-splitting
It can be rectified to give
List of regular maps in orientable genus 5.
Its skeleton is 2 . cubic graph.
Orientable | |
Non-orientable |