Recreational Mathematics

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3 domain-specific abstractions whose origin domain is Recreational Mathematics.

• 15 puzzle — A four-by-four sliding-tile puzzle whose reachable configurations form one parity class under moves of tiles into a single empty cell.
• Five-room puzzle — A wall-crossing drawing puzzle whose plan becomes a multigraph and is solvable exactly when the corresponding graph has an Euler trail under the crossing rules.
• Mathematical puzzle — A self-contained problem with explicit rules whose solution requires mathematical reasoning, construction or proof and is pursued primarily as a recreational challenge.