The thick-hook meld conjecture

A thick hook is the thick-hook family of partitions used in CRIM, and a meld is the partition operation defined in the paper. A losing position is a P\mathcal P-position. Thick-hook meld conjecture. A meld of losing thick hooks is losing. This proposes that the losing-position property is preserved by melding thick hooks; the source gives no resolution.

Sources & referencesView supporting material

Primary source

Ina Bašić, Eric Gottlieb and Matjaž Krnc, “CRIM: A Natural Game on Integer Partitions”, arXiv:2606.16828 (2026).

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