
genus ^{c}  2, orientable 
Schläfli formula ^{c}  {3,8} 
V / F / E ^{c}  6 / 16 / 24 
notes  
vertex, face multiplicity ^{c}  2, 1 
4, each with 12 edges 6, each with 8 edges 6, each with 8 edges 8, each with 6 edges 4, each with 12 edges 24, each with 2 edges  
antipodal sets  3 of ( 2v ), 4 of ( 4f ), 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  t^{2}, r^{‑3}, (rs)^{2}, (rt)^{2}, (st)^{2}, (rs^{‑3})^{2} > 
C&D number ^{c}  R2.1 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It can be 2fold covered to give
It can be 2split to give
It can be 5split to give
It can be 7split to give
It can be 10split to give
It can be 11split to give
It can be rectified to give
It can be obtained by triambulating
It can be stellated (with path <1,1>) to give
It can be stellated (with path <>/2) to give
List of regular maps in orientable genus 2.
Its skeleton is 2 . K_{2,2,2}.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 1:10 seconds from the start. It is shown as a "wireframe diagram", on 3fold K_{2}. The wireframe is arranged as the skeleton of
Orientable  
Nonorientable 
The image on this page is copyright © 2010 N. Wedd