R45.11′

Statistics

genus c45, orientable
Schläfli formula c{180,4}
V / F / E c 90 / 2 / 180
notesFaces share vertices with themselves
vertex, face multiplicity c2, 180
Petrie polygons
4, each with 90 edges
rotational symmetry group360 elements.
full symmetry group720 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r45s2r45  >
C&D number cR45.11′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R45.11.

Its Petrie dual is R44.1′.

It can be built by 5-splitting R9.13′.
It can be built by 9-splitting S5:{20,4}.

It is a member of series j.

List of regular maps in orientable genus 45.


Other Regular Maps

General Index