S3{7,14}

Statistics

genus c	3, orientable
Schläfli formula c	{7,14}
V / F / E c	1 / 2 / 7
notes
vertex, face multiplicity c	14, 7
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 holes	7, each with 2 edges 1, with 14 edges 7, each with 2 edges 1, with 14 edges 7, each with 2 edges 1, with 14 edges 7, each with 2 edges 1, with 14 edges 7, each with 2 edges 1, with 14 edges 7, each with 2 edges 1, with 14 edges
rotational symmetry group	C14, with 14 elements
full symmetry group	D28, with 28 elements
its presentation c	< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r‑7 >
C&D number c	R3.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S3:{14,7}.

Its Petrie dual is the hemi-14-hosohedron.

It can be 2-split to give S6:{14,14}.

It can be rectified to give rectification of S3:{14,7}.

It is a member of series z.

List of regular maps in orientable genus 3.

Underlying Graph

Its skeleton is 7 . 1-cycle.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd