R73.1

Statistics

genus c73, orientable
Schläfli formula c{3,10}
V / F / E c 216 / 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
5th-order holes
5th-order Petrie polygons
90, each with 24 edges
216, each with 10 edges
216, each with 10 edges
180, each with 12 edges
72, each with 30 edges
270, each with 8 edges
540, each with 4 edges
144, each with 15 edges
72, each with 30 edges
rotational symmetry groupC3 ⋊ (A6 ⋊ C2), with 2160 elements
full symmetry group4320 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s10, s3rs‑4r‑1s3r‑1s‑4rs2  >
C&D number cR73.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R73.1′.

List of regular maps in orientable genus 73.


Other Regular Maps

General Index