R42.3′

Statistics

genus c	42, orientable
Schläfli formula c	{168,4}
V / F / E c	84 / 2 / 168
notes
vertex, face multiplicity c	2, 168
Petrie polygons	2, each with 168 edges
rotational symmetry group	336 elements.
full symmetry group	672 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r42s2r42  >
C&D number c	R42.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R42.3.

It is self-Petrie dual.

It can be built by 3-splitting R14.5′.
It can be built by 7-splitting S6:{24,4}.

It is a member of series η'.

List of regular maps in orientable genus 42.

Other Regular Maps

General Index