R10.22

Statistics

genus c10, orientable
Schläfli formula c{21,42}
V / F / E c 1 / 2 / 21
notestrivial Faces share vertices with themselves Vertices share edges with themselves is not a polyhedral map
vertex, face multiplicity c42, 21
Petrie polygons
21, each with 2 edges
rotational symmetry group42 elements.
full symmetry group84 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s5r‑2tr8tr‑4s  >
C&D number cR10.22
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.22′.

It can be 2-split to give R20.12.

It is a member of series α.

List of regular maps in orientable genus 10.


Other Regular Maps

General Index