S5:{8,3}

Statistics

genus c5, orientable
Schläfli formula c{8,3}
V / F / E c 64 / 24 / 96
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
16, each with 12 edges
rotational symmetry group192 elements.
full symmetry group384 elements.
its presentation c< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r8, r2sr‑2s‑1rs‑1r‑1sr‑2sr2  >
C&D number cR5.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{3,8}.

It is a 2-fold cover of the Dyck Map, S3:{8,3}.

List of regular maps in orientable genus 5.

Underlying Graph

Its skeleton is F064A.

Comments

This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 0:35 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