R80.18

Statistics

genus c80, orientable
Schläfli formula c{161,322}
V / F / E c 1 / 2 / 161
notesFaces share vertices with themselves Vertices share edges with themselves trivial
vertex, face multiplicity c322, 161
Petrie polygons
161, each with 2 edges
rotational symmetry group322 elements.
full symmetry group644 elements.
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑1s72r‑1s2ts‑1rs‑1tr‑9sts‑2tr‑69s  >
C&D number cR80.18
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R80.18′.

It is a member of series α .

List of regular maps in orientable genus 80.


Other Regular Maps

General Index


Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720