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Mathematics and Origami: The Art and Science of Folds


Origami is usually connected with fun and games, and the most common association with origami is a paper-folded crane, which has a special place in Japanese culture. The popularity of modern origami has grown in many aspects, including mathematical, scientific, artistic, or even as an enjoyable craft. This chapter describes the developmental path of origami from simple paper folding through to that of a serious scientific discipline. It might be said that it all started with the discovery of mathematical rules behind the folds, which led to the axiomatization of origami and the establishment of it as a mathematical discipline. Many unsolved problems, such as doubling the cube, became solvable thanks to origami. Interestingly, while developing as a scientific discipline, origami has also been establishing itself as a form of modern art and is a great inspiration to many contemporary artists in different creative disciplines, such as sculpture, fashion, or design. Examples of these contemporary art forms are shown in this chapter.


  • Origami
  • Mathematical
  • Artistic
  • Crane
  • Scientific

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Correspondence to Natalija Budinski .

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© 2019 Springer Nature Switzerland AG

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Budinski, N. (2019). Mathematics and Origami: The Art and Science of Folds. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham.

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70658-0

  • Online ISBN: 978-3-319-70658-0

  • eBook Packages: Springer Reference MathematicsReference Module Computer Science and Engineering

Chapter History

  1. Latest

    Mathematics and Origami: The Art and Science of Folds
    25 April 2019


  2. Original

    Mathematics and Origami: The Art and Science of Folds
    26 November 2018