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Computational Visual Media 2016, 2(4): 321-327 https://doi.org/10.1007/s41095-016-0062-4
Research Article | Open Access | Issue | Published: 15 November 2016

Computational design of iris folding patterns

Show Author's Information Yuki Igarashi1( ),  Takeo Igarashi2,  Jun Mitani3
Meiji University, Nakano-ku, 164-8525, Japan.
The University of Tokyo, Bunkyo-ku, 113-0033, Japan.
University of Tsukuba, Tsukuba-city, 305-8573, Japan.
Keywords:
craft, pattern, fabrication, user interface, novice users
Cite this article:
Igarashi Y, Igarashi T, Mitani J. Computational design of iris folding patterns. Computational Visual Media, 2016, 2(4): 321-327. https://doi.org/10.1007/s41095-016-0062-4
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Abstract Full text Electronic supplementary material About this article

Iris folding is an art-form consisting of layered strips of paper, forming a spiral pattern behind an aperture, which can be used to make cards and gift tags. This paper describes an interactive computational tool to assist in the design and construction of original iris folding patterns. The design of iris folding patterns is formulated as the calculation of a circumscribed polygonal sequence around a seed polygon. While it is possible to compute the positions of vertices analytically for a regular polygon, it is not straightforward to do so for irregular polygons. We give a numerical method for irregular polygons, which can be applied to arbitrary convex seed polygons. The user can quickly experiment with various patterns using the system prior to constructing the art-form.


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About this article

Computational design of iris folding patterns

Show Author's information Yuki Igarashi1( ), Takeo Igarashi2, Jun Mitani3
Meiji University, Nakano-ku, 164-8525, Japan.
The University of Tokyo, Bunkyo-ku, 113-0033, Japan.
University of Tsukuba, Tsukuba-city, 305-8573, Japan.

Abstract

Iris folding is an art-form consisting of layered strips of paper, forming a spiral pattern behind an aperture, which can be used to make cards and gift tags. This paper describes an interactive computational tool to assist in the design and construction of original iris folding patterns. The design of iris folding patterns is formulated as the calculation of a circumscribed polygonal sequence around a seed polygon. While it is possible to compute the positions of vertices analytically for a regular polygon, it is not straightforward to do so for irregular polygons. We give a numerical method for irregular polygons, which can be applied to arbitrary convex seed polygons. The user can quickly experiment with various patterns using the system prior to constructing the art-form.

Keywords: craft, pattern, fabrication, user interface, novice users

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Publication history

Revised: 27 August 2016
Accepted: 23 September 2016
Published: 15 November 2016
Issue date: December 2016

Copyright

© The Author(s) 2016

Acknowledgements

We thank Kazushi Ahara for his comments. We also thank Takuya Sawada for his help in writing the paper. This work was supported in part by JSPS KAKENHI Grant Number 26240027.

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