Tangram is both a popular Chinese puzzle and a useful teaching tool for K-12 math teachers. Due to the inconvenience of carrying around and easy missing some of the parts, people are more tend to make tangram by cutting or by origami a sheet of paper. In this paper, we introduce two established methods for folding a tangram using either A4 paper or square paper. Subsequently, we extend these techniques to accommodate standard paper sizes such as Letter or Legal. This improvement is particularly advantageous for individuals in regions where A4 is not the standard size. The accuracy of the novel tangram folding methods can be mathematically demonstrated.

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From A4 Paper to Tangram Puzzles: The Math Behind Paper Folding

  • Wenwu Chang,
  • Siheng Yu,
  • Jinrui Zhang

摘要

Tangram is both a popular Chinese puzzle and a useful teaching tool for K-12 math teachers. Due to the inconvenience of carrying around and easy missing some of the parts, people are more tend to make tangram by cutting or by origami a sheet of paper. In this paper, we introduce two established methods for folding a tangram using either A4 paper or square paper. Subsequently, we extend these techniques to accommodate standard paper sizes such as Letter or Legal. This improvement is particularly advantageous for individuals in regions where A4 is not the standard size. The accuracy of the novel tangram folding methods can be mathematically demonstrated.