R100.26′

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
72, each with 10 edges
240, each with 3 edges
120, each with 6 edges
72, each with 10 edges
72, each with 10 edges
180, each with 4 edges
180, each with 4 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, (r‑1s)3, s8, (sr‑2s2)2, r10, r‑1s‑1r3s2r3s‑1r‑1  >
C&D number cR100.26′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R100.26.

It is its own 3-hole derivative.

List of regular maps in orientable genus 100.


Other Regular Maps

General Index