
genus ^{c}  4, orientable 
Schläfli formula ^{c}  {6,6} 
V / F / E ^{c}  6 / 6 / 18 
notes  
vertex, face multiplicity ^{c}  3, 3 
6, each with 6 edges 18, each with 2 edges 6, each with 6 edges 6 Hamiltonian, each with 6 edges  
antipodal sets  3 of ( 2v, 2p2 ), 3 of ( 2f, 2h3 ), 9 of ( 2e, 2h ), 3 of ( 2p ) 
rotational symmetry group  36 elements. 
full symmetry group  72 elements. 
its presentation ^{c}  < r, s, t  t^{2}, (rs)^{2}, (rs^{‑1})^{2}, (rt)^{2}, (st)^{2}, r^{6}, s^{6} > 
C&D number ^{c}  R4.7 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
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 can be rectified to give
It can be rectified to give
List of regular maps in orientable genus 4.
Its skeleton is 3 . 6cycle.
Orientable  
Nonorientable 
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