R16.14′

Statistics

genus c16, orientable
Schläfli formula c{36,18}
V / F / E c 4 / 2 / 36
notes
vertex, face multiplicity c9, 36
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
18, each with 4 edges
4, each with 18 edges
36, each with 2 edges
6, each with 12 edges
18, each with 4 edges
rotational symmetry group72 elements.
full symmetry group144 elements.
its presentation c< r, s, t | t2, (sr)2, (st)2, (rt)2, rs3rs‑1, rsr‑1sr2, s‑1r2s‑1rs‑12r  >
C&D number cR16.14′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R16.14.

Its Petrie dual is R8.3.

It can be 5-split to give R80.10′.

List of regular maps in orientable genus 16.


Other Regular Maps

General Index