The Thomson problem

Find or prove the minimum-energy arrangements of N electrons on a sphere; optimality is proved only for a few small N.

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File it in the catalog (shoal-catalog 0521c19bbd38)

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	1	+{
	2	+ "domain": "mathematics",
	3	+ "topics": [
	4	+ "discrete-geometry",
	5	+ "mathematical-physics"
	6	+ ],
	7	+ "type": "construction",
	8	+ "also": [
	9	+ "proof"
	10	+ ],
	11	+ "cover": {
	12	+ "motif": "spheres",
	13	+ "n": 2
	14	+ },
	15	+ "source": {
	16	+ "key": "alphaevolve",
	17	+ "name": "AlphaEvolve Repository of Problems",
	18	+ "url": "https://google-deepmind.github.io/alphaevolve_repository_of_problems/problems/33.html",
	19	+ "id": "33",
	20	+ "curator": "Google DeepMind",
	21	+ "poser": "J. J. Thomson",
	22	+ "status": "open",
	23	+ "as_of": "2026-10-20",
	24	+ "catalog": "0521c19bbd38"
	25	+ }
	26	+}