R89.1

Statistics

genus c89, orientable
Schläfli formula c{3,10}
V / F / E c 264 / 880 / 1320
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
5th-order holes
5th-order Petrie polygons
60, each with 44 edges
264, each with 10 edges
110, each with 24 edges
120, each with 22 edges
132, each with 20 edges
330, each with 8 edges
110, each with 24 edges
220, each with 12 edges
220, each with 12 edges
rotational symmetry groupSL(2,11) ⋊ C2, with 2640 elements
full symmetry group5280 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s10, s‑1r‑1s3rs‑2rs‑1rs‑3rs2r‑1s‑2  >
C&D number cR89.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R89.1′.

List of regular maps in orientable genus 89.


Other Regular Maps

General Index