R42.15

Statistics

genus c42, orientable
Schläfli formula c{168,168}
V / F / E c 1 / 1 / 84
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial
vertex, face multiplicity c168, 168
Petrie polygons
84, each with 2 edges
rotational symmetry group168 elements.
full symmetry group336 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s69r‑2tr10ts2  >
C&D number cR42.15
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be rectified to give R42.3′.

It is a member of series β° .

List of regular maps in orientable genus 42.


Other Regular Maps

General Index