R19.3

Statistics

genus c19, orientable
Schläfli formula c{4,5}
V / F / E c 144 / 180 / 360
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
90, each with 8 edges
72, each with 10 edges
72, each with 10 edges
rotational symmetry groupA6 x C2, with 720 elements
full symmetry group1440 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑5, sr‑2s2rs‑1r2s‑1rsr‑1s‑1rs  >
C&D number cR19.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R19.3′.

Its Petrie dual is R64.9′.

Its 2-hole derivative is R73.37′.

List of regular maps in orientable genus 19.


Other Regular Maps

General Index