


genus ^{c}  4, orientable 
Schläfli formula ^{c}  {10,10} 
V / F / E ^{c}  2 / 2 / 10 
notes  
vertex, face multiplicity ^{c}  10, 10 
10, each with 2 edges 2 double, each with 10 edges 10, each with 2 edges 2 Eulerian, each with 10 edges 10, each with 2 edges  
rotational symmetry group  C5×C2×C2, with 20 elements 
full symmetry group  D20×C2, with 40 elements 
its presentation ^{c}  < r, s, t  t^{2}, sr^{2}s, (r, s), (rt)^{2}, (st)^{2}, r^{‑2}tr^{6}tr^{‑2} > 
C&D number ^{c}  R4.11 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
Its Petrie dual is
It can be built by 2splitting
It can be rectified to give
It is a member of series k.
List of regular maps in orientable genus 4.
Its skeleton is 10 . K_{2}.
Orientable  
Nonorientable 
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