
genus ^{c}  3, orientable 
Schläfli formula ^{c}  {12,12} 
V / F / E ^{c}  1 / 1 / 6 
notes  
vertex, face multiplicity ^{c}  12, 12 
6, each with 2 edges 4, each with 3 edges 6, each with 2 edges 3, each with 4 edges 6, each with 2 edges 2, each with 6 edges 6, each with 2 edges 6, each with 2 edges  
antipodal sets  3 of ( 2e ) 
rotational symmetry group  C12, with 12 elements 
full symmetry group  D24, with 24 elements 
its presentation ^{c}  < r, s, t  r^{12}, r^{5}s^{‑1}, t^{2}, (rt)^{2} > 
C&D number ^{c}  R3.12 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
It is selfdual.
Its Petrie dual is
It can be rectified to give
It can be derived by stellation (with path <2,3;3,2>) from
It is a member of series s.
List of regular maps in orientable genus 3.
×  
× 
Its skeleton is 6 . 1cycle.
Orientable  
Nonorientable 
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