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A reversible transformation (reversibility) is defined as a generalization of the hinged-transformation between a square and an equilateral triangle in the famous Haberdasher’s puzzle by Henry E. Dudeney. In the article we trace various achievements relating to the research on reversibibity. The hidden relations between reversibility and other topics such as tile-makers, appropriate superimposition of two tilings, foldability for Conway tiles are unveiled.

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Unveil the Secret Hidden in the Haberdasher’s Puzzle

  • 会议论文

  • 发表日期：

    2026年

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  • Jin Akiyama,
  • Stefan Langerman,
  • Kiyoko Matsunaga

摘要

A reversible transformation (reversibility) is defined as a generalization of the hinged-transformation between a square and an equilateral triangle in the famous Haberdasher’s puzzle by Henry E. Dudeney. In the article we trace various achievements relating to the research on reversibibity. The hidden relations between reversibility and other topics such as tile-makers, appropriate superimposition of two tilings, foldability for Conway tiles are unveiled.