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 ],
 "caption": "The one-parameter optimal family derived on this site: the center plus two equilateral orbits 30\u00b0 apart, radius ratio s \u2208 [\u221a3/2, 2/\u221a3], every member achieving exactly 1/9. The stored member is the s = 2/\u221a3 endpoint, where 9 triangles tie; inside the interval 3 of them release. Members are rescaled so the hull area stays constant.",
 "verification": "each sample's 30-decimal literals verified in exact arithmetic to within relative 1e-20 of the stored configuration's exact value at build time"
}