



genus ^{c}  2, orientable 
Schläfli formula ^{c}  {4,8} 
V / F / E ^{c}  2 / 4 / 8 
notes  
vertex, face multiplicity ^{c}  8, 2 
2, each with 8 edges 8, each with 2 edges 4, each with 4 edges 4, each with 4 edges 2, each with 8 edges 8, each with 2 edges 8, each with 2 edges  
antipodal sets  1 of ( 2v ), 2 of ( 2f ), 4 of ( 2e ) 
rotational symmetry group  quasidihedral(16), with 16 elements 
full symmetry group  32 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rs^{‑1})^{2}, (rt)^{2}, (st)^{2}, s^{‑2}r^{2}s^{‑2} > 
C&D number ^{c}  R2.3 
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 2fold covered to give
It can be rectified to give
It is its own 3hole derivative.
It can be derived by stellation (with path <1,1>) from
It is a member of series h.
List of regular maps in orientable genus 2.
×  
×  mo01:50,w09:11 
Its skeleton is 8 . K_{2}.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 0:55 seconds from the start. It is shown as a "wireframe diagram", on 2fold 1cycle. The wireframe is arranged as the skeleton of
Orientable  
Nonorientable 
The images on this page are copyright © 2010 N. Wedd