R90.21

Statistics

genus c90, orientable
Schläfli formula c{360,360}
V / F / E c 1 / 1 / 180
notestrivial Faces share edges with themselves Faces share vertices with themselves Vertices share edges with themselves
vertex, face multiplicity c360, 360
Petrie polygons
180, each with 2 edges
rotational symmetry group360 elements.
full symmetry group720 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r81ts2ts‑1r8s‑1tr‑2str3s‑80r  >
C&D number cR90.21
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 β.

List of regular maps in orientable genus 90.


Other Regular Maps

General Index