S5:{12,4}

Statistics

genus c	5, orientable
Schläfli formula c	{12,4}
V / F / E c	12 / 4 / 24
notes
vertex, face multiplicity c	2, 6
Petrie polygons holes	4, each with 12 edges 24, each with 2 edges
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r12  >
C&D number c	R5.7′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{4,12}.

It is self-Petrie dual.

It can be 5-split to give R29.5′.
It can be 7-split to give R41.16′.
It can be 11-split to give R65.46′.
It can be built by 3-splitting {4,4}_(2,0).

It is the result of rectifying S5:{12,12}.

It is a member of series l.

List of regular maps in orientable genus 5.

Wireframe constructions

	×	the 6-hosohedron
	×	the 6-hosohedron
	×	S2:{6,6}

Underlying Graph

Its skeleton is 2 . 12-cycle.

Other Regular Maps

General Index

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