The Knight's Tour Problem as a Conceptual Tool for Interdisciplinary Studies

Ronald R. Brown
Bridges: Mathematical Connections in Art, Music, and Science (2002)
Pages 169–180

Abstract

The ''Knight's Tour" problem, to move a knight on a chessboard so that all sixty-four squares are occupied only once, was originally used by the author to explore 2-D designs and 3-D constructions. Over the years, however, his fascination with the concept bas led him to explore other topics that one would hardly consider being related to the problem as stated, such as music, weaving, and Islamic-style tiling patterns. This article introduces the reader to these and other areas as well. It is hoped that the reader will learn something new from the experience.

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