S6:{14,4}

Statistics

genus c	6, orientable
Schläfli formula c	{14,4}
V / F / E c	14 / 4 / 28
notes
vertex, face multiplicity c	2, 7
Petrie polygons holes	2, each with 28 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, r14  >
C&D number c	R6.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{4,14}.

Its Petrie dual is S7:{28,4}.

It can be 3-split to give R20.1′.
It can be 5-split to give R34.4′.
It can be 9-split to give R62.1′.
It can be 11-split to give R76.6′.

It is the result of rectifying S6:{14,14}.

It is a member of series ζ'.

List of regular maps in orientable genus 6.

Wireframe constructions

	×	the 7-hosohedron
	×	the 7-hosohedron

Underlying Graph

Its skeleton is 2 . 14-cycle.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd