
genus ^{c}  3, orientable 
Schläfli formula ^{c}  {4,8} 
V / F / E ^{c}  4 / 8 / 16 
notes  
vertex, face multiplicity ^{c}  4, 1 
4, each with 8 edges 8, each with 4 edges 16, each with 2 edges 8, each with 4 edges 4, each with 8 edges 16, each with 2 edges  
antipodal sets  2 of ( 2v ), 4 of ( 2f ) 
rotational symmetry group  32 elements. 
full symmetry group  64 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rt)^{2}, (st)^{2}, srs^{‑1}rs^{2} > 
C&D number ^{c}  R3.5 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its dual is
Its Petrie dual is
It is a 2fold cover of
It can be 3split to give
It can be 5split to give
It can be 7split to give
It can be 9split to give
It can be 11split to give
It can be rectified to give
It can be truncated to give
It can be derived by stellation (with path <1,1>) from
It is a member of series mt.
List of regular maps in orientable genus 3.
Its skeleton is 4 . 4cycle.
Orientable  
Nonorientable 
The image on this page is copyright © 2010 N. Wedd