Document Type

Article

Publication Date

5-2011

Publication Title

Graphs and Combinatorics

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.

Keywords

Unfolding, Folding, Collision-free motion

Volume

27

Issue

3

First Page

363

Last Page

376

DOI

dx.doi.org/doi:10.1007/s00373-011-1024-3

ISSN

1435-5914

Comments

Author's pre-print. Language included at the request of the publisher: The final publication is available at Springer via http://dx.doi.org/10.1007/s00373-011-1024-3

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