
genus ^{c}  5, nonorientable 
Schläfli formula ^{c}  {5,4} 
V / F / E ^{c}  15 / 12 / 30 
notes  
vertex, face multiplicity ^{c}  1, 1 
10, each with 6 edges 10 double, each with 6 edges  
antipodal sets  5 of ( 3v ), 6 of ( 2f ), 15 of ( 2e ), 10 of ( p, h ) 
rotational symmetry group  S5, with 120 elements 
full symmetry group  S5, with 120 elements 
its presentation ^{c}  < r, s, t  t^{2}, s^{4}, (sr)^{2}, (st)^{2}, (rt)^{2}, r^{‑5}, r^{‑1}sr^{‑1}s^{2}rs^{‑1}t > 
C&D number ^{c}  N5.1′ 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It can be 2fold covered to give
It can be rectified to give
It is the result of rectifying
It is the result of pyritifying (type 10/4/5/4)
List of regular maps in nonorientable genus 5.
Its skeleton is hemiicosidodecahedron.
Orientable  
Nonorientable 
The image on this page is copyright © 2010 N. Wedd