
genus ^{c}  4, orientable 
Schläfli formula ^{c}  {6,4} 
V / F / E ^{c}  18 / 12 / 36 
notes  
vertex, face multiplicity ^{c}  1, 1 
18, each with 4 edges 12, each with 6 edges  
antipodal sets  9 of ( 2v ), 6 of ( 2f ), 18 of ( 2e ), 9 of ( 2p ), 6 of ( 2h ) 
rotational symmetry group  72 elements. 
full symmetry group  144 elements. 
its presentation ^{c}  < r, s, t  t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, r^{6}, rsr^{‑1}s^{2}r^{‑1}sr > 
C&D number ^{c}  R4.3′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It is a 2fold cover of
It can be 5split to give
It can be 7split to give
It can be 11split to give
It is the result of rectifying
List of regular maps in orientable genus 4.
This regular map features in Jarke J. van Wijk's movie Symmetric Tiling of Closed Surfaces: Visualization of Regular Maps, 1:50 seconds from the start. It is shown as a "wireframe diagram", on K_{3,3}. The wireframe is arranged as the skeleton of
Orientable  
Nonorientable 
The image on this page is copyright © 2010 N. Wedd