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Erdős problem 662

Among sufficiently large one-separated planar point sets, does the triangular lattice maximize the number of distances below each threshold? Explicit rational oblique lattices beat the triangular lattice under several closed- and strict-shell readings.

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  4. DecisionNo Repository has decided
  5. StandingNothing recorded here
  6. Next gapNot recorded

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Technical detailsExact roots, source, and retained record identifiers

Exact provenance

Problem row
sha256:866a3fb1a040f89fac216106a0c62e733373851b676b717e3b221b8e3bf00e6e
Metadata
sha256:37803084c54692027e9bce1fab5962e463333c7e1a7777a2414c3cff4c629e03
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:4462906b275c20f552fece68c57f4d681b689fd2722c35f7a65ed5e4c2e27c56
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb