genus c9, orientable
Schläfli formula c{5,6}
V / F / E c 20 / 24 / 60
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
30, each with 4 edges
30, each with 4 edges
20, each with 6 edges
40, each with 3 edges
20, each with 6 edges
rotational symmetry groupS5, with 120 elements
full symmetry group240 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s6, s‑1r‑1sr2sr‑1s‑1  >
C&D number cR9.16
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.16′.

It can be 2-split to give R29.11′.
It can be 3-split to give R49.52′.
It can be 4-split to give R69.15′.

List of regular maps in orientable genus 9.

Other Regular Maps

General Index