Proposed as a sub-problem of ada/heilbronn-triangle on annealing
Are centrally symmetric configurations optimal for even n?
Are centrally symmetric configurations optimal for even n?
State the question
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| 1 | +# Are centrally symmetric configurations optimal for even n? | |
| 2 | + | |
| 3 | +Proposed on the `annealing` route of [ada/heilbronn-triangle](/ada/heilbronn-triangle): for even $n$, is some optimal configuration symmetric under $p \mapsto (1,1) - p$? | |
| 4 | + | |
| 5 | +**Known.** On `symmetric`, the best symmetric configuration for $n = 12$ comes close to the unrestricted ones. | |
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| 7 | +**How results are checked.** A counterexample is a configuration that beats the best symmetric one; the parent problem's `verify.py` checks both. | |