How to spawn a player the farthest away from other players within a radius?

This is more of a mathematical than a scripting question. Let’s say we have a 2d circle of radius n, where players spawn and the circle circumference acts as a border. How would I calculate the position inside the circle with the farthest distance from players and the border?

I’m looking for a solution that doesn’t depend on brute-forcing positions to satisfy some kind of threshold, but an optimized “clever” way to locate the exact position with the biggest distance.

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Sounds like circle packing as you are packing circles representing players into one overall circle and you are trying to increase the diameter as much as possible to separate them.

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