Generating sectors around nodes

Hi, I'm using Poisson disc sampling to generate nodes and I want to define the borders of a sector around each node, so that there is no space in between the borders. I'm really struggling to wrap my head around the maths of generating this. I was thinking I should get the adjacent nodes around each node (how do I do this other than OverlapSphere?) and draw to the half way points between each adjacent node and generate a mesh in that area, or I should draw/generate a mesh in a radius around each node and divide the overlap evenly, but I'm not sure how I would implement either of these solutions. Can someone help me or at least give me some tips to point me in the right direction?