On Thursday, February 24, 2011 12:12:12 AM UTC, Dmitri wrote:
>
> [...] The intersection of all these equations forms a lattice 
> polytope (finite and bounded). I want to know if that polytope is 
> convex or not.


I'm confused. Intersections of convex sets are convex.
 

> [...] One question that I'm 
> interested is what results when we take the union of two tops. One 
> obvious question to ask is whether it's convex or not.
>

A chosen set of points is convex if it is equal to its convex hull. So all 
you have to do is compute the hull and compare with it.

Volker


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