Construct cone and hyperplane:
sage: C = Cone([(1,0),(0,1)])
sage: H = Polyhedron(eqns=[(-2,1,1)])
sage: H.Hrepresentation()
(An equation (1, 1) x - 2 == 0,)
Compute the intersection polyhedron:
sage: P = H.intersection( C.polyhedron() ); P
A 1-dimensional polyhedron in QQ^2 defined as the convex hull of 2 vertices
sage: P.Vrepresentation()
(A vertex at (2, 0), A vertex at (0, 2))
On Sunday, November 25, 2012 1:42:24 PM UTC, Johhannes wrote:
>
> Hi List,
> Is there a build-in-way to get the intersection of a given cone C with
> an given hyperplane h?
>
> In detail I have the following situation:
>
> C = Cone( [List of primitive generators] )
> H_h = Hyperplane {x : \sum x_i = h}.
>
> C intersected with H_h will be a bounded polytope.
>
> If there's not such an function, where would be the best place to place
> it? Extend/overwrite the existing intersection function of the cone?
>
> regards,
> Johannes
>
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