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Feigenbaum's period-doubling constant

Find a closed form for Feigenbaum's period-doubling constant δ ≈ 4.6692016091, known to 10,000 digits but not proven irrational.

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1{
2 "domain": "physics-astronomy",
3 "topics": [
4 "mathematical-physics",
5 "analysis"
6 ],
7 "type": "construction",
8 "source": {
9 "key": "horizonmath",
10 "name": "HorizonMath",
11 "url": "https://github.com/ewang26/HorizonMath/blob/4ef0b61a8a6d4c5ded661fab7c2e896af84abe6e/data/problems_full.json#L334-L344",
12 "id": "feigenbaum_delta",
13 "curator": "Erik Y. Wang, Sumeet R. Motwani et al.",
14 "status": "open",
15 "as_of": "2026-10-20",
16 "catalog": "0521c19bbd38"
17 }
18}