R16.1

Statistics

genus c16, orientable
Schläfli formula c{3,8}
V / F / E c 90 / 240 / 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
90, each with 8 edges
72, each with 10 edges
144, each with 5 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, r‑3, (rs)2, (rt)2, (st)2, s8, s‑1rs‑2rs‑2r‑2s‑2rs‑2rs‑1, s3rs‑3rs‑2r‑1s2r‑1s3r‑1s‑2rs  >
C&D number cR16.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R16.1′.

Its Petrie dual is N200.19′.

Its 3-hole derivative is R64.8.

List of regular maps in orientable genus 16.


Other Regular Maps

General Index