R45.28′

Statistics

genus c	45, orientable
Schläfli formula c	{20,12}
V / F / E c	20 / 12 / 120
notes
vertex, face multiplicity c	6, 10
Petrie polygons	4, each with 60 edges
rotational symmetry group	240 elements.
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s12, r20  >
C&D number c	R45.28′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R45.28.

Its Petrie dual is R49.74′.

It can be built by 5-splitting S5:{4,12}.

List of regular maps in orientable genus 45.

Other Regular Maps

General Index