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From 2022–23, Brown designed foldings and folding sequences for all 354 rotationally symmetric \(4\times 4\) diagonal-grid 2-color patterns. Ku drew crease patterns for the designs and verified their validity. This paper discusses the various approaches taken to begin each new solve, techniques for working toward a solution via active folding (rather than planning an entire solve beforehand), and evaluation of the final result, using both objective measures such as efficiency and seamlessness, as well as subjective measures such as ease of the folding sequence, layering, and locking.

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Folding All \(4\times 4\) Rotationally-Symmetric Diagonal-Grid 2-Color Patterns

  • 会议论文

  • 发表日期：

    2026年

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  • D. Brown,
  • J. S. Ku

摘要

From 2022–23, Brown designed foldings and folding sequences for all 354 rotationally symmetric \(4\times 4\) diagonal-grid 2-color patterns. Ku drew crease patterns for the designs and verified their validity. This paper discusses the various approaches taken to begin each new solve, techniques for working toward a solution via active folding (rather than planning an entire solve beforehand), and evaluation of the final result, using both objective measures such as efficiency and seamlessness, as well as subjective measures such as ease of the folding sequence, layering, and locking.