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Computational design of iris folding patterns

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.

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Correspondence to Yuki Igarashi.

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This article is published with open access at Springerlink.com

Yuki Igarashi is a senior assistant professor in interdisciplinary mathematical science at Meiji University. She received her Ph.D. degree from the Department of Engineering at the University of Tokyo in 2010. From 2010 to 2015, she was a JSPS research fellow at University of Tsukuba. Her research interests are in computer graphics and user interfaces.

Takeo Igarashi is a professor in the CS Department at the University of Tokyo. He received his Ph.D. degree from the Department of Information Engineering at the University of Tokyo in 2000. His research interest is in user interfaces in general and his current focus is on interaction techniques for 3D graphics. He is known as the inventor of the sketch-based modeling system called Teddy, and received the Significant New Researcher Award at SIGGRAPH 2006.

Jun Mitani is a professor at the University of Tsukuba. He received his Ph.D. degree in engineering from the University of Tokyo in 2004. He has been a professor at the University of Tsukuba since April 2015. His research interests are centered on computer graphics, especially geometric modeling techniques. He studies the geometry of curved origami as well as interactive design interfaces.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Igarashi, Y., Igarashi, T. & Mitani, J. Computational design of iris folding patterns. Comp. Visual Media 2, 321–327 (2016). https://doi.org/10.1007/s41095-016-0062-4

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  • DOI: https://doi.org/10.1007/s41095-016-0062-4

Keywords

  • craft
  • pattern
  • fabrication
  • user interface
  • novice users