genus c | 85, orientable |
Schläfli formula c | {8,8} |
V / F / E c | 84 / 84 / 336 |
notes | |
vertex, face multiplicity c | 1, 1 |
84, each with 8 edges 224, each with 3 edges 112, each with 6 edges 56, each with 12 edges 112, each with 6 edges 168, each with 4 edges 168, each with 4 edges | |
rotational symmetry group | PSL(3,2) ⋊ C4, with 672 elements |
full symmetry group | 1344 elements. |
its presentation c | < r, s, t | t2, (rs)2, (rt)2, (st)2, (s‑1r)3, r8, s8, srs‑2r3sr‑2s2 > |
C&D number c | R85.46 |
The statistics marked c are from the published work of Professor Marston Conder. |
It is self-dual.
List of regular maps in orientable genus 85.
Orientable | |
Non-orientable |