S6:{4,24}

Statistics

genus c	6, orientable
Schläfli formula c	{4,24}
V / F / E c	2 / 12 / 24
notes
vertex, face multiplicity c	24, 2
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	2, each with 24 edges 24, each with 2 edges 4, each with 12 edges 12, each with 4 edges 6, each with 8 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s6r2s6  >
C&D number c	R6.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{24,4}.

Its Petrie dual is S11:{24,24}₄.

It is a member of series h.

List of regular maps in orientable genus 6.

Wireframe construction

	×	the hemi-12-hosohedron

Underlying Graph

Its skeleton is 24 . K₂.

Other Regular Maps

General Index

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