R100.27′

Statistics

genus c100, orientable
Schläfli formula c{10,8}
V / F / E c 90 / 72 / 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
120, each with 6 edges
144, each with 5 edges
90, each with 8 edges
90, each with 8 edges
72, each with 10 edges
144, each with 5 edges
72, each with 10 edges
rotational symmetry groupA6 ⋊ C2, with 720 elements
full symmetry group1440 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, s8, r‑1s‑1rs3rs‑1r‑1s, r‑1s‑1r2s2r2s‑1r‑1, (r‑1s)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.

Its 3-hole derivative is R91.39.

List of regular maps in orientable genus 100.


Other Regular Maps

General Index