genus c | 8, orientable |
Schläfli formula c | {20,10} |
V / F / E c | 4 / 2 / 20 |
notes | |
vertex, face multiplicity c | 5, 20 |
10, each with 4 edges 4, each with 10 edges 20, each with 2 edges 2, each with 20 edges 10, each with 4 edges 4, each with 10 edges 20, each with 2 edges | |
rotational symmetry group | 40 elements. |
full symmetry group | 80 elements. |
its presentation c | < r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑1sr2, s10 > |
C&D number c | R8.8′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
It can be 3-split to give
It can be 7-split to give
It can be 9-split to give
It can be 11-split to give
It is its own 3-hole derivative.
It is a member of series ζ°.
List of regular maps in orientable genus 8.
Orientable | |
Non-orientable |