R16.3′

Statistics

genus c	16, orientable
Schläfli formula c	{10,4}
V / F / E c	50 / 20 / 100
notes
vertex, face multiplicity c	1, 1
Petrie polygons 2nd-order Petrie polygons	50, each with 4 edges 20, each with 10 edges
rotational symmetry group	200 elements.
full symmetry group	400 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, rsr‑1s2r‑1sr, r10  >
C&D number c	R16.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R16.3.

Its Petrie dual is {4,4}_(5,5).

It can be 3-split to give R66.2′.

List of regular maps in orientable genus 16.

Other Regular Maps

General Index