trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

Signed cardinality need not be zero-mesic

A literal 73-state orbit on a 3 by 12 rectangle has signed-cardinality sum minus one.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH2
DOCUMENT LINKS1
THEOREM

The conjecture is refuted

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Rectangle rowmotion max-minus-min homomesyRectangle rowmotion max-minus-min homomesySigned cardinality need not be zero-mesicSigned cardinality need not bezero-mesic
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

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Certified topology / DOWNSTREAM

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.