R26.2

Statistics

genus c	26, orientable
Schläfli formula c	{3,11}
V / F / E c	60 / 220 / 330
notes
vertex, face multiplicity c	1, 1
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	66, each with 10 edges 60, each with 11 edges 55, each with 12 edges 132, each with 5 edges 165, each with 4 edges 132, each with 5 edges 66, each with 10 edges 110, each with 6 edges 55, each with 12 edges
rotational symmetry group	PSL(2,11), with 660 elements
full symmetry group	PSL(2,11)×C2, with 1320 elements
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, s‑11, s2rs‑3r‑1s2r‑1s‑3rs2  >
C&D number c	R26.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R26.2′.

Its 3-hole derivative is R70.3.
Its 4-hole derivative is R70.4.
Its 5-hole derivative is R81.62.

List of regular maps in orientable genus 26.

Comments

For a version of the diagram with the vertices labelled as in the "roadmap", click here.

Other Regular Maps

General Index

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