R45.23′

Statistics

genus c45, orientable
Schläfli formula c{120,8}
V / F / E c 30 / 2 / 120
notes
vertex, face multiplicity c4, 120
Petrie polygons
4, each with 60 edges
rotational symmetry group240 elements.
full symmetry group480 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, s8, r15s2r15  >
C&D number cR45.23′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R45.23.

Its Petrie dual is R44.5′.

It can be built by 3-splitting R15.15′.
It can be built by 5-splitting R9.24′.

List of regular maps in orientable genus 45.


Other Regular Maps

General Index