
genus ^{c}  5, nonorientable 
Schläfli formula ^{c}  {4,6} 
V / F / E ^{c}  6 / 9 / 18 
notes  
vertex, face multiplicity ^{c}  2, 1 
9, each with 4 edges 6 Hamiltonian, each with 6 edges 6 Hamiltonian, each with 6 edges 9 double, each with 4 edges  
antipodal sets  3 of ( v, 3p ), 9 of ( f, 2e, h3 ), 6 of ( h, p2 ) 
rotational symmetry group  72 elements. 
full symmetry group  72 elements. 
its presentation ^{c}  < r, s, t  t^{2}, r^{4}, (rs)^{2}, (rt)^{2}, (st)^{2}, s^{6}, s^{‑1}rs^{‑1}r^{2}sr^{‑1}t, srs^{‑1}r^{2}s^{‑1}rs > 
C&D number ^{c}  N5.2 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfPetrie dual.
It can be 2fold covered to give
It can be 3split to give
It can be rectified to give
List of regular maps in nonorientable genus 5.
Its skeleton is 2 . K_{3,3}.
Orientable  
Nonorientable 
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