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arXiv · 0906.2461

Continuous Blooming of Convex Polyhedra

Erik D. Demaine·Martin L. Demaine·Vi Hart·John Iacono·Stefan Langerman·Joseph O'Rourke
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Abstract

We construct the first two continuous bloomings of all convex polyhedra. First, the source unfolding can be continuously bloomed. Second, any unfolding of a convex polyhedron can be refined (further cut, by a linear number of cuts) to have a continuous blooming.

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Erik D. Demaine, Martin L. Demaine, Vi Hart, John Iacono, Stefan Langerman, Joseph O'Rourke. 2009-06-13. Continuous Blooming of Convex Polyhedra. https://arxiv.org/abs/0906.2461

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