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Here is the subclass I created.
What it is supposed for, you may see in this repo.
I know the approx algorithm should be replaced with a faster converging one! Till now I just don't know any better way, maybe you have suggestions.
I thought about creating an outher subclass of Polygon called Deltaneigbourhood, which could also work for the other shapes (slightly diffrent obviously). You can see its (humble) beginnings also in the repo linked above.