S7:{16,4|4}

Statistics

genus c	7, orientable
Schläfli formula c	{16,4}
V / F / E c	16 / 4 / 32
notes
vertex, face multiplicity c	1, 8
Petrie polygons	4, each with 16 edges
rotational symmetry group	64 elements.
full symmetry group	128 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r‑1sr‑1s2r‑1sr‑1, r3sr‑1sr4  >
C&D number c	R7.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{4,16|4}.

It can be 3-split to give R23.2′.
It can be 5-split to give R39.3′.
It can be 7-split to give R55.14′.
It can be 9-split to give R71.2′.
It can be 11-split to give R87.3′.

It is the result of rectifying S7:{16,16}₄.

It is a member of series lt.

List of regular maps in orientable genus 7.

Other Regular Maps

General Index