
genus ^{c}  7, nonorientable 
Schläfli formula ^{c}  {4,9} 
V / F / E ^{c}  4 / 9 / 18 
notes  
vertex, face multiplicity ^{c}  3, 2 
4 Hamiltonian, each with 9 edges 18, each with 2 edges 4, each with 9 edges 9 Hamiltonian, each with 4 edges 12, each with 3 edges 18, each with 2 edges 4, each with 9 edges  
antipodal sets  4 of ( v, p, 2p ), 9 of ( f, 3h ) 
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}, rs^{‑1}r^{2}st, s^{‑9} > 
C&D number ^{c}  N7.2 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It can be 2fold covered to give
List of regular maps in nonorientable genus 7.
Its skeleton is 3 . K_{4}.
Each face is complementary to (as well as antipodal to) a Petrie polygon. For a facePetrie polygon pair, each edge is a member of one or the other.
Orientable  
Nonorientable 
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