# Area of Smallest Rectangle accommodating Re-Entrant Knight's Tour

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## Theorem

The area of the smallest rectangular chessboard on which a re-entrant knight's tour is possible is $30$ squares.

This can be configured either as a $5 \times 6$ chessboard or a $3 \times 10$ chessboard.

## Proof

## Sources

- 1986: David Wells:
*Curious and Interesting Numbers*... (previous) ... (next): $30$ - 1997: David Wells:
*Curious and Interesting Numbers*(2nd ed.) ... (previous) ... (next): $30$