S2:{8,3}
Statistics
| genus c | 2, orientable |
| Schläfli formula c | {8,3} |
| V / F / E c | 16 / 6 / 24 |
| notes | 
|
| vertex, face multiplicity c | 1, 2 |
Petrie polygons
| 4, each with 12 edges
|
| antipodal sets | 4 of ( 4v ), 3 of ( 2f ), 12 of ( 2e ) |
| rotational symmetry group | GL(2,3), with 48 elements |
| full symmetry group | Tucker's group, with 96 elements |
| its presentation c | < r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (sr‑3)2 > |
| C&D number c | R2.1′ |
| The statistics marked c are from the published work of Professor Marston Conder. |
Relations to other Regular Maps
Its dual is S2:{3,8}.
Its Petrie dual is S3:{12,3}.
It can be 2-fold covered to give the Dyck map.
It can be rectified to give rectification of S2:{8,3}.
List of regular maps in orientable genus 2.
Underlying Graph
Its skeleton is Möbius-Kantor graph.
Comments
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 1:20 seconds from the start. It is shown as a "wireframe diagram", on 3-fold K2. The wireframe is arranged as the skeleton of the 3-hosohedron.
Cayley Graphs based in this Regular Map
Type I
Type II
Other Regular Maps
General Index
The images on this page are copyright © 2010 N. Wedd
