R56.3

Statistics

genus c56, orientable
Schläfli formula c{4,6}
V / F / E c 220 / 330 / 660
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
132, each with 10 edges
132, each with 10 edges
110, each with 12 edges
110, each with 12 edges
110, each with 12 edges
rotational symmetry groupPSL(2,11) ⋊ C2, with 1320 elements
full symmetry group2640 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, s‑1r‑1srs‑2rs‑1r‑1sr‑1s‑1rs‑2, srs‑1rs‑2rs‑1rs2r‑1s2r‑1s  >
C&D number cR56.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R56.3′.

List of regular maps in orientable genus 56.


Other Regular Maps

General Index