

genus ^{c}  5, nonorientable 
Schläfli formula ^{c}  {6,6} 
V / F / E ^{c}  3 / 3 / 9 
notes  
vertex, face multiplicity ^{c}  3, 3 
6 Hamiltonian, each with 3 edges 9, each with 2 edges 3 double, each with 6 edges 3 Hamiltonian, each with 6 edges  
antipodal sets  3 of ( v, p2 ), 3 of ( f, h3 ), 9 of ( e, h ) 
rotational symmetry group  D6×D6, with 36 elements 
full symmetry group  D6×D6, with 36 elements 
its presentation ^{c}  < r, s, t  t^{2}, (rs)^{2}, (rs^{‑1})^{2}, (rt)^{2}, (st)^{2}, r^{6}, s^{6}, s^{‑1}r^{‑3}s^{2}t > 
C&D number ^{c}  N5.4 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
Its Petrie dual is
It can be 2fold covered to give
It can be rectified to give
It is the half shuriken of
List of regular maps in nonorientable genus 5.
Its skeleton is 3 . K_{3}.
Orientable  
Nonorientable 
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