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Question: how does one enumerate all star-convex $2n$-vertex sublattices of the plane that have the unique domino-tiling property? Definitions: A subset $S$ of the $xy$-plane is star-convex if there ...

Also asked on MSE: What is the best way to partition the $4$-subsets of $\{1,2,3,\dots,n\}$?. Consider the set $X = \{1,2,3,\dots,n\}$. Define the collection of all $4$-subsets of $X$ by $$\mathcal A=...