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arXiv · 0909.5388

A Universal Crease Pattern for Folding Orthogonal Shapes

Nadia Benbernou·Erik D. Demaine·Martin L. Demaine·Aviv Ovadya
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Abstract

We present a universal crease pattern--known in geometry as the tetrakis tiling and in origami as box pleating--that can fold into any object made up of unit cubes joined face-to-face (polycubes). More precisely, there is one universal finite crease pattern for each number n of unit cubes that need to be folded. This result contrasts previous universality results for origami, which require a different crease pattern for each target object, and confirms intuition in the origami community that box pleating is a powerful design technique.

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Nadia Benbernou, Erik D. Demaine, Martin L. Demaine, Aviv Ovadya. 2009-09-29. A Universal Crease Pattern for Folding Orthogonal Shapes. https://arxiv.org/abs/0909.5388

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