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How to distribute k points inside a circledisc so to minimize the distance of any point inside the circledisc to the closest of the k points? Does this problem have a name? Is the solution a famous sequence of geometric graphs?

How to distribute k points inside a circle so to minimize the distance of any point inside the circle to the closest of the k points? Does this problem have a name? Is the solution a famous sequence of geometric graphs?

How to distribute k points inside a disc so to minimize the distance of any point inside the disc to the closest of the k points? Does this problem have a name? Is the solution a famous sequence of geometric graphs?

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Distributing fire stations in a circular city

How to distribute k points inside a circle so to minimize the distance of any point inside the circle to the closest of the k points? Does this problem have a name? Is the solution a famous sequence of geometric graphs?