R55.23

Statistics

genus c55, orientable
Schläfli formula c{6,9}
V / F / E c 54 / 81 / 243
notesreplete
vertex, face multiplicity c3, 1
Petrie polygons
27, each with 18 edges
rotational symmetry group486 elements.
full symmetry group972 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, srs‑2rs3, r‑1s2r‑2s2r‑1s, s‑1r‑2sr2s‑1r3s‑1rs‑1r3s‑1r  >
C&D number cR55.23
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R55.23′.

List of regular maps in orientable genus 55.

Underlying Graph

Its skeleton is 3 . torus-h-0-6.

Other Regular Maps

General Index