Mathematics and Origami: The Art and Science of Folds

Budinski, Natalija

doi:10.1007/978-3-319-57072-3_13

Natalija Budinski²

635 Accesses
2 Citations

Abstract

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.

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Petro Kuzmjak School, Ruski Krstur, Serbia
Natalija Budinski

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Natalija Budinski
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Department of Mathematical Sciences, University of Montana, Missoula, MT, USA
Bharath Sriraman

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Department of Mathematical Sciences, The University of Montana, Missoula, MT, USA
Bharath Sriraman
Department of Mathematics Education, College of Education, Seoul National University, Seoul, South Korea
Kyeong-Hwa Lee

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Budinski, N. (2021). Mathematics and Origami: The Art and Science of Folds. In: Sriraman, B. (eds) Handbook of the Mathematics of the Arts and Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-57072-3_13

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DOI: https://doi.org/10.1007/978-3-319-57072-3_13
Published: 15 August 2021
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-57071-6
Online ISBN: 978-3-319-57072-3
eBook Packages: Mathematics and StatisticsReference Module Computer Science and Engineering

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Mathematics and Origami: The Art and Science of Folds