S5:{4,6}

Statistics

genus c5, orientable
Schläfli formula c{4,6}
V / F / E c 16 / 24 / 48
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
8, each with 12 edges
rotational symmetry group96 elements.
full symmetry group192 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, (rs‑1)4, srs‑2r2s3r‑1  >
C&D number cR5.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{6,4}.

It can be 5-split to give R69.14′.
It can be 7-split to give R101.21′.

List of regular maps in orientable genus 5.

Wireframe construction

qd  {4,6}  4/3 | 2 | 4 × the cube mo01:130

Other Regular Maps

General Index