R45.28

Statistics

genus c	45, orientable
Schläfli formula c	{12,20}
V / F / E c	12 / 20 / 120
notes
vertex, face multiplicity c	10, 6
Petrie polygons	4, each with 60 edges
rotational symmetry group	240 elements.
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r12, s20  >
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 R53.20′.

It can be built by 3-splitting R9.12.

List of regular maps in orientable genus 45.

Other Regular Maps

General Index