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  "body": "\n## Summary\n\nLet $K$ be a compact set in the plane.\nFekete points of $K$ are $n$ points of $K$ that make the product of their mutual distances as large as possible.\nThey realize the $n$-th diameter in the definition of the [[transfinite diameter|VSGTSQ7RY8]].\nLet $K$ have positive capacity.\nAs $n$ grows, the uniform distribution on the Fekete points tends to the [[equilibrium measure|464NN2K4FZ]] of $K$.\nThey are used as interpolation nodes and as discrete models of an electric charge in equilibrium.\n\n## Explanations\n\n### L1 human\n\nPut $n$ equal point charges on a conductor $K$ and let them push each other apart with the logarithmic law.\nThe positions where they come to rest with the least energy are the Fekete points.\nOn a circle they are $n$ equally spaced points.\nOn an interval they crowd near the two ends, just as the equilibrium charge of an interval is densest at its ends.\n",
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    "name": "Fekete points",
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  "msc": [
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  "name": "Fekete points",
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  "source": "https://github.com/tamnd/math2/blob/main/nodes/F0R/F0RVAF11K9.md",
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  "url": "https://tamnd.github.io/math2/wiki/fekete-points/",
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