How can I create a hyperplane arrangement within a finite region?

asked 2023-05-25 14:36:25 +0200

Norah gravatar image

Hi, I want to create a hyperplane arrangement within a finite region. For example, within the region defined by x > 0, y > 0, and x + y <= 1, I want to create an arrangement of hyperplanes x + 2y = 0 and x + 3y = 0. I haven't found information on how to achieve this. Can you provide guidance on how to do it?

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Thank you, I have read this document. I want to find bounded regions bounded by x>0,y>0, and x+y<1 in the hyperplane arrangement. I can't find a solution for this. The algorithm looks like it's all over the whole space.

Norah gravatar imageNorah ( 2023-05-25 18:25:31 +0200 )edit

Each of these inequalities also defines a hyperplane. Add them to the arrangement.

Max Alekseyev gravatar imageMax Alekseyev ( 2023-05-25 18:29:16 +0200 )edit