
genus ^{c}  3, orientable 
Schläfli formula ^{c}  {3,8} 
V / F / E ^{c}  12 / 32 / 48 
notes  
vertex, face multiplicity ^{c}  1, 1 
16, each with 6 edges 12, each with 8 edges 12, each with 8 edges 32, each with 3 edges 16, each with 6 edges 24, each with 4 edges  
antipodal sets  6 of ( 2v ), 16 of ( 2f ), 16 of ( 2e ), 16 of ( p, p3 ) 
rotational symmetry group  96 elements. 
full symmetry group  192 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{‑3}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{8}, (sr^{‑1}s)^{3} > 
C&D number ^{c}  R3.2 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
Its Petrie dual is
It can be 2fold covered to give
It is a 2fold cover of
It can be 2split to give
It can be 5split to give
It can be rectified to give
It can be obtained by triambulating
It can be stellated (with path <1,1>) to give
List of regular maps in orientable genus 3.
Its skeleton is K_{4,4,4}.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 1:30 seconds from the start. It is shown as a "wireframe diagram", on K_{4}. The wireframe is arranged as the skeleton of
Orientable  
Nonorientable 
The images on this page are copyright © 2010 N. Wedd