R5.12

Statistics

genus c	5, orientable
Schläfli formula c	{8,8}
V / F / E c	4 / 4 / 16
notes
vertex, face multiplicity c	4, 4
Petrie polygons	8, each with 4 edges
rotational symmetry group	32 elements.
full symmetry group	64 elements.
its presentation c	< r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r8, s‑1r4s‑3  >
C&D number c	R5.12
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is S3:{4,8|4}.

List of regular maps in orientable genus 5.

Wireframe constructions

	×	S2:{8,4}		(may really be R5.13)
	×	{4,4}(2,0)		(may really be R5.13)

Underlying Graph

Its skeleton is 4 . 4-cycle.

Other Regular Maps

General Index