S6:{4,14}

Statistics

genus c	6, orientable
Schläfli formula c	{4,14}
V / F / E c	4 / 14 / 28
notes
vertex, face multiplicity c	7, 2
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons 5th-order holes 5th-order Petrie polygons 6th-order holes 6th-order Petrie polygons	2, each with 28 edges 28, each with 2 edges 4, each with 14 edges 14, each with 4 edges 2, each with 28 edges 28, each with 2 edges 4, each with 14 edges 14, each with 4 edges 2, each with 28 edges 28, each with 2 edges 4, each with 14 edges
rotational symmetry group	56 elements.
full symmetry group	112 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s14  >
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:{14,4}.

Its Petrie dual is R12.7′.

It can be 3-split to give R30.6.
It can be 5-split to give R54.8′.
It can be 7-split to give R78.12′.

It is its own 3-hole derivative.
It is its own 5-hole derivative.

It is a member of series m.

List of regular maps in orientable genus 6.

Wireframe constructions

	×	the 7-hosohedron
	×	the 7-hosohedron

Underlying Graph

Its skeleton is 7 . 4-cycle.

Other Regular Maps

General Index

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