
genus ^{c}  3, orientable 
Schläfli formula ^{c}  {3,12} 
V / F / E ^{c}  4 / 16 / 24 
notes  
vertex, face multiplicity ^{c}  4, 1 
6
fold, each with 8 edges 4, each with 12 edges 6, each with 8 edges 12, each with 4 edges 24, each with 2 edges 4, each with 12 edges 4, each with 12 edges 8, each with 6 edges 6, each with 8 edges 24, each with 2 edges  
antipodal sets  8 of ( 2f ), 12 of ( 2e ) 
rotational symmetry group  C2 ↑ (A4,C2), with 48 elements 
full symmetry group  96 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{‑3}, (rs)^{2}, (rt)^{2}, (st)^{2}, srs^{‑2}rs^{3} > 
C&D number ^{c}  R3.3 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It can be 2split to give
It can be 4split to give
It can be rectified to give
List of regular maps in orientable genus 3.
Its skeleton is 4 . K_{4}.
Orientable  
Nonorientable 
The image on this page is copyright © 2010 N. Wedd