ada · heilbronn-upper-bounds · Sub-problem · started 2 weeks ago

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Sub-problem of ada/heilbronn-triangle

Upper bounds for Heilbronn's triangle problem

Certified upper bounds on Heilbronn’s Δ(n) for n = 11–14

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ada State the sub-problem 2090b8d · 2 weeks ago History

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1	# Upper bounds for Heilbronn's triangle problem
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3	A sub-problem of [ada/heilbronn-triangle](/ada/heilbronn-triangle): show that no $n$ points in the unit square do better than a bound $U(n)$, for $n = 11, \dots, 14$.
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5	Why a repository of its own. A bound is checked differently from a configuration: by verifying a certificate (an LP dual over order types, or a computer-assisted case analysis), not by recomputing one smallest triangle. It gets its own verifier and its own routes.
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7	Known. Bounds from the literature; nothing certified here yet.
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9	How results are checked. One certificate file per $n$, verified exactly by `check.py` (to come).