
genus ^{c}  0, orientable 
Schläfli formula ^{c}  {3,4} 
V / F / E ^{c}  6 / 8 / 12 
notes  
vertex, face multiplicity ^{c}  1, 1 
4, each with 6 edges 6, each with 4 edges 6, each with 4 edges  
antipodal sets  3 of ( 2v, 2h2 ), 4 of ( 2f; p1 ), 6 of ( 2e ) 
rotational symmetry group  S4, with 24 elements 
full symmetry group  S4×C2, with 48 elements 
its presentation ^{c}  < r, s, t  r^{2}, s^{2}, t^{2}, (rs)^{3}, (st)^{4}, (rt)^{2} > 
C&D number ^{c}  R0.2 
The statistics marked ^{c} are from the published work of Professor Marston Conder. 
Its Petrie dual is
It is a 2fold cover of
It can be 2split to give
It can be 4split to give
It can be 5split to give
It can be 7split to give
It can be 10split to give
It can be 11split to give
It can be 8split to give
It can be rectified to give
It is the result of rectifying
It can be obtained by triambulating
It is the result of pyritifying (type 2/4/3/4)
List of regular maps in orientable genus 0.
Its skeleton is K_{2,2,2}.
This is one of the five "Platonic solids".
D6 
S4 
Orientable  
Nonorientable 
The images on this page are copyright © 2010 N. Wedd