R42.1′

Statistics

genus c	42, orientable
Schläfli formula c	{45,4}
V / F / E c	90 / 8 / 180
notes
vertex, face multiplicity c	1, 15
Petrie polygons	4, each with 90 edges
rotational symmetry group	360 elements.
full symmetry group	720 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑2)2, r‑45  >
C&D number c	R42.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R42.1.

Its Petrie dual is N88.2′.

It can be 2-split to give R87.1′.
It can be built by 5-splitting S6:{9,4}.

List of regular maps in orientable genus 42.

Other Regular Maps

General Index