S5:{22,11}

Statistics

genus c	5, orientable
Schläfli formula c	{22,11}
V / F / E c	2 / 1 / 11
notes
vertex, face multiplicity c	11, 22
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	11, each with 2 edges 1, with 22 edges 11, each with 2 edges 1, with 22 edges 11, each with 2 edges 1, with 22 edges 11, each with 2 edges 1, with 22 edges 11, each with 2 edges
rotational symmetry group	C22, with 22 elements
full symmetry group	D44, with 44 elements
its presentation c	< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑11  >
C&D number c	R5.14′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{11,22}.

Its Petrie dual is the 11-hosohedron.

It is its own 2-hole derivative.
It is its own 3-hole derivative.
It is its own 4-hole derivative.
It is its own 5-hole derivative.

It is a member of series α'.

List of regular maps in orientable genus 5.

Underlying Graph

Its skeleton is 11 . K₂.

Other Regular Maps

General Index

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