R61.1

Statistics

genus c61, orientable
Schläfli formula c{4,6}
V / F / E c 240 / 360 / 720
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
24, each with 60 edges
240, each with 6 edges
120, each with 12 edges
120, each with 12 edges
120, each with 12 edges
rotational symmetry groupA5 ⋊ ((C6 x C2) ⋊ C2), with 1440 elements
full symmetry group2880 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, (rs‑1)6, (rs‑2rs‑2rs‑1)2  >
C&D number cR61.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R61.1′.

List of regular maps in orientable genus 61.


Other Regular Maps

General Index