S7:{6,9}ch

Statistics

genus c	7, orientable
Schläfli formula c	{6,9}
V / F / E c	6 / 9 / 27
notes
vertex, face multiplicity c	3, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons	3, each with 18 edges 9, each with 6 edges 3, each with 18 edges 27, each with 2 edges 9 double, each with 6 edges 9, each with 6 edges 3, each with 18 edges
rotational symmetry group	54 elements.
full symmetry group	54 elements.
its presentation c	< r, s | (rs)2, r6, (rs‑2)2, s‑1r‑3sr‑1s‑1  >
C&D number c	C7.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S7:{9,6}ch.

It is its own 2-hole derivative.
It is its own 4-hole derivative.
It is its own 2-hole derivative.
It is its own 4-hole derivative.
It is its own 2-hole derivative.
It is its own 4-hole derivative.

List of regular maps in orientable genus 7.

Underlying Graph

Its skeleton is 3 . K_3,3.

Other Regular Maps

General Index

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