R18.14

Statistics

genus c18, orientable
Schläfli formula c{72,72}
V / F / E c 1 / 1 / 36
notestrivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves
vertex, face multiplicity c72, 72
Petrie polygons
36, each with 2 edges
rotational symmetry group72 elements.
full symmetry group144 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r12tr‑2tr2tr‑8tr3s‑9  >
C&D number cR18.14
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It is a member of series s.

List of regular maps in orientable genus 18.


Other Regular Maps

General Index