


genus ^{c}  3, orientable 
Schläfli formula ^{c}  {4,12} 
V / F / E ^{c}  2 / 6 / 12 
notes  
vertex, face multiplicity ^{c}  12, 2 
4, each with 6 edges 12, each with 2 edges 4, each with 6 edges 6, each with 4 edges 12, each with 2 edges 12, each with 2 edges 4, each with 6 edges  
antipodal sets  1 of ( 2v ), 3 of ( 2f ), 6 of ( 2e ) 
rotational symmetry group  D6×C4, with 24 elements 
full symmetry group  48 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rs^{‑1})^{2}, (rt)^{2}, (st)^{2}, s^{‑3}r^{2}s^{‑3} > 
C&D number ^{c}  R3.7 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It can be rectified to give
It is a member of series h.
List of regular maps in orientable genus 3.
× 
Its skeleton is 12 . K_{2}.
Orientable  
Nonorientable 
The images on this page are copyright © 2010 N. Wedd