Suppose I have a cone constructed from a set of points. In 2d for instance:
cone1=Cone([[-1,4],[4,-1]])
The rays of this cone1 are exactly those two vectors I used to define the cone.
Now, I take the cone
cone2=Cone([[1,0],[0,1]])
Whose rays are given by those two vectors.
Now, cone1 contains cone2, and its intersection with cone2 is exactly cone2.
I would like to know if there is a way to extract the complementary cones from cone1 "subtracting" cone2. Basically I would need:
cone3=Cone([[-1,4],[0,1]]) and cone4=Cone([[1,0],[4,-1]])
Is there a way to extract these cones?
I know that in the 2d example I can plot the cones with .plot() and subtract them visualizing them, of course this is an example. What I would like to know if there is an algorithmic way to extract all the "complementary cones" from a bigger cone that contains (completely) another cone. So I would like to find a way to define cone3 and cone4 in higher dimensions, and "algorithmically".
