Area of Smallest Square accommodating Re-Entrant Knight's Tour

Theorem

The area of the smallest square chessboard on which a re-entrant knight's tour is possible is $6 \times 6 = 36$ squares.


Proof


This theorem requires a proof.
In particular: Haven't even started the definitions yet for chess problems
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
To discuss this page in more detail, feel free to use the talk page.
When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.
If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.



Sources

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