
genus ^{c}  5, nonorientable 
Schläfli formula ^{c}  {8,4} 
V / F / E ^{c}  6 / 3 / 12 
notes  
vertex, face multiplicity ^{c}  1, 4 
, each with edges  
rotational symmetry group  12 elements. 
full symmetry group  24 elements. 
Its Petrie dual is the hemicuboctahedron.
It can be diagonalised to give
It is the full shuriken of
List of regular maps in nonorientable genus 5.
Four of its Petrie polygons have three edges, and three of them have four edges. So it is not regular.
Orientable  
Nonorientable 
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