S6:{14,14}

Statistics

genus c	6, orientable
Schläfli formula c	{14,14}
V / F / E c	2 / 2 / 14
notes
vertex, face multiplicity c	14, 14
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 7th-order Petrie polygons	14, each with 2 edges 2, each with 14 edges 14, each with 2 edges 2, each with 14 edges 14, each with 2 edges 2, each with 14 edges 14, each with 2 edges 2, each with 14 edges 14, each with 2 edges 2, each with 14 edges 14, each with 2 edges 14, each with 2 edges
rotational symmetry group	C7×C2×C2, with 28 elements
full symmetry group	D28×C2, with 56 elements
its presentation c	< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r12s‑2  >
C&D number c	R6.12
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is the 14-hosohedron.

It can be built by 2-splitting S3{7,14}.

It can be rectified to give S6:{14,4}.

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

It is a member of series k.

List of regular maps in orientable genus 6.

Wireframe construction

	×	the 7-hosohedron

Underlying Graph

Its skeleton is 14 . K₂.

Other Regular Maps

General Index

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