S6:{26,13}

Statistics

genus c	6, orientable
Schläfli formula c	{26,13}
V / F / E c	2 / 1 / 13
notes
vertex, face multiplicity c	13, 26
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	13, each with 2 edges 1, with 26 edges 13, each with 2 edges 1, with 26 edges 13, each with 2 edges 1, with 26 edges 13, each with 2 edges 1, with 26 edges 13, each with 2 edges 1, with 26 edges 13, each with 2 edges
rotational symmetry group	C26, with 26 elements
full symmetry group	D52, with 52 elements
its presentation c	< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑1r2ts7r‑1ts‑1r  >
C&D number c	R6.11′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{13,26}.

Its Petrie dual is the 13-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 its own 6-hole derivative.

It is a member of series i.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 13 . K₂.

Other Regular Maps

General Index

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