genus c | 10, orientable |
Schläfli formula c | {4,22} |
V / F / E c | 4 / 22 / 44 |
notes | |
vertex, face multiplicity c | 11, 2 |
2, each with 44 edges 44, each with 2 edges 4, each with 22 edges 22, each with 4 edges 2, each with 44 edges 44, each with 2 edges 4, each with 22 edges 22, each with 4 edges 2, each with 44 edges 44, each with 2 edges 4, each with 22 edges 22, each with 4 edges 2, each with 44 edges 44, each with 2 edges 4, each with 22 edges 22, each with 4 edges 2, each with 44 edges 44, each with 2 edges 4, each with 22 edges | |
rotational symmetry group | 88 elements. |
full symmetry group | 176 elements. |
its presentation c | < r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s22 > |
C&D number c | R10.11 |
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 5-split to give
It is its own 3-hole derivative.
It is its own 7-hole derivative.
It is its own 9-hole derivative.
It is its own 5-hole derivative.
It is a member of series m.
List of regular maps in orientable genus 10.
× | ||||
× |
Orientable | |
Non-orientable |