R46.2

Statistics

genus c46, orientable
Schläfli formula c{3,8}
V / F / E c 270 / 720 / 1080
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
4th-order Petrie polygons
216, each with 10 edges
270, each with 8 edges
72, each with 30 edges
432, each with 5 edges
270, each with 8 edges
216, each with 10 edges
216, each with 10 edges
rotational symmetry group(C3 . A6) ⋊ C2, with 2160 elements
full symmetry group4320 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s8, (sr‑1s)5  >
C&D number cR46.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R46.2′.

List of regular maps in orientable genus 46.


Other Regular Maps

General Index