R49.1

Statistics

genus c49, orientable
Schläfli formula c{3,10}
V / F / E c 144 / 480 / 720
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 16 edges
144, each with 10 edges
72, each with 20 edges
180, each with 8 edges
144, each with 10 edges
90, each with 16 edges
180, each with 8 edges
144, each with 10 edges
144, each with 10 edges
rotational symmetry groupSL(2,9) ⋊ C2, with 1440 elements
full symmetry group2880 elements.
its presentation c< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s10, sr‑1s2rs‑3r‑1sr‑1s2r‑1s4r‑1s, s‑3r‑1s3rs‑2r‑1s2r‑1s‑3rs2r‑1s‑1  >
C&D number cR49.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R49.1′.

List of regular maps in orientable genus 49.


Other Regular Maps

General Index