S7:{28,4}

Statistics

genus c	7, orientable
Schläfli formula c	{28,4}
V / F / E c	14 / 2 / 28
notes
vertex, face multiplicity c	2, 28
Petrie polygons 2nd-order Petrie polygons	4, each with 14 edges 28, each with 2 edges
rotational symmetry group	56 elements.
full symmetry group	112 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r7s2r7  >
C&D number c	R7.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{4,28}.

Its Petrie dual is S6:{14,4}.

It can be 3-split to give R21.13′.
It can be 5-split to give R35.3′.
It can be 9-split to give R63.4′.
It can be 11-split to give R77.5′.

It is the result of rectifying S7:{28,28}.

It is a member of series j.

List of regular maps in orientable genus 7.

Underlying Graph

Its skeleton is 2 . 14-cycle.

Other Regular Maps

General Index