R42.3

Statistics

genus c42, orientable
Schläfli formula c{4,168}
V / F / E c 2 / 84 / 168
notesFaces share vertices with themselves
vertex, face multiplicity c168, 2
Petrie polygons
2, each with 168 edges
rotational symmetry group336 elements.
full symmetry group672 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s42r2s42  >
C&D number cR42.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R42.3′.

Its Petrie dual is R83.16.

It is a member of series η.

List of regular maps in orientable genus 42.


Other Regular Maps

General Index