New computational constructions claim to achieve the upper bounds for 23 and 27 lines in the Kobon triangle problem, yielding N(23)=161 and N(27)=225, subject to the reliability of a heuristic straightening step.
Complete enumeration of small realizable oriented matroids
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Constructing Optimal Kobon Triangle Arrangements via Table Encoding, SAT Solving, and Heuristic Straightening
New computational constructions claim to achieve the upper bounds for 23 and 27 lines in the Kobon triangle problem, yielding N(23)=161 and N(27)=225, subject to the reliability of a heuristic straightening step.