Given an n-dimensional space with boundaries and $k$ fixed points in the space. I would like to create a new point that has emptiest spaces in this set. An empty space would mean a sphere that:
- has its center in the box
- is as large as possible
- does not contain or touch any of the fixed points from the given set
- bounded by the boundaries of the space
This is actually very similar to this question here. But the difference is I want to create a new point with emptiest spaces instead of finding the point with emptiest spaces.
I don't need an exact result. An approximation is good enough.