R100.27

Statistics

genus c100, orientable
Schläfli formula c{8,10}
V / F / E c 72 / 90 / 360
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
120, each with 6 edges
144, each with 5 edges
72, each with 10 edges
72, each with 10 edges
180, each with 4 edges
180, each with 4 edges
90, each with 8 edges
72, each with 10 edges
72, each with 10 edges
rotational symmetry groupA6 ⋊ C2, with 720 elements
full symmetry group1440 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r8, s‑1r‑1sr3sr‑1s‑1r, s‑1r‑1s2r2s2r‑1s‑1, (s‑1r)5  >
C&D number cR100.27
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R100.27′.

List of regular maps in orientable genus 100.


Other Regular Maps

General Index