c_{1} = 
1 0 0 
c_{2} = 
0 1 0 
c_{3} = 
0 0 1 
c_{4} = 
0 1 1 
c_{5} = 
1 1 1 


Instructions
 Use the mouse to rotate and spin the zonotope
 The print button will save a screenshot as an epsfile
 The option bsp will enumerate the 12 faces
 Note that, by symmetry, each face has a translated counterpart
 Load the vertex and face definition for this zonozope.
Remarks

A Zonotop in 3D space as the Minkowski sum of n segments will have at most n*(n1) faces.
To see why, consider all n*(n1)/2 pairs of segments, each pair generating a parallelogram.
If non of these parallelograms lies in the same plane, then each of them
will form two faces by symmetry.
This is the proof of a corollary to a Theorem by Gritzmann and Sturmfels on the number
of faces in R^{d}.

However, the zonotope on this page does not have 5*4=20 faces.
This is because the 3 pairs formed by
c_{2}, c_{3} and c_{4}
are in the same plane, reducing the independent pairs from 10 to 8. The same
is also true for the pairs formed by
c_{1}, c_{4} and c_{5}.
Therefore we only have (1022)*2=12 faces.
