genus c5, orientable
Schläfli formula c{6,4}
V / F / E c 24 / 16 / 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, s4, (sr)2, (st)2, (rt)2, r6, (sr‑1)4, rsr‑2s2r3s‑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:{4,6}.

It can be 5-split to give R53.1′.
It can be 7-split to give R77.1′.

It is the result of rectifying S5:{6,6}.

List of regular maps in orientable genus 5.

Wireframe construction

q  {6,4}  2 | 4/3 | 4 × the cube mo01:130,w09:18


This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 2:10 seconds from the start. It is shown as a "wireframe diagram", on cube. The wireframe is arranged as the skeleton of the cube.

Other Regular Maps

General Index