On Crosspatch Knight's Tours
A knight's tour is often represented as a broken line connecting the centers of successively visited squares. We say that two knight moves form a cross if the midpoints of their respective segments coincide. We show that no knight tour exists on a rectangular board in which every move is part o...
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| Sprache: | eng |
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| Zusammenfassung: | A knight's tour is often represented as a broken line connecting the centers
of successively visited squares. We say that two knight moves form a cross if
the midpoints of their respective segments coincide. We show that no knight
tour exists on a rectangular board in which every move is part of a cross. We
also establish the general structure of pseudotours with this property. |
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| DOI: | 10.48550/arxiv.1310.3450 |