R9.22

Statistics

genus c9, orientable
Schläfli formula c{8,8}
V / F / E c 8 / 8 / 32
notesreplete is not a polyhedral map
vertex, face multiplicity c2, 2
Petrie polygons
16, each with 4 edges
rotational symmetry group64 elements.
full symmetry group128 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r8, s‑1r4s‑3, s‑1rs‑1r2s‑1rs‑1  >
C&D number cR9.22
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is S5:{4,8}8.

It can be 3-split to give R33.61′.
It can be 5-split to give R57.46′.
It can be 7-split to give R81.119′.

List of regular maps in orientable genus 9.

Wireframe construction

w  {8,8}  2/4 | 2/4 | 2 × {4,4}(2,2) not confirmed

Other Regular Maps

General Index