Continuous Blooming of Convex Polyhedra

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

    Research output: Contribution to journalArticlepeer-review

    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.

    Original languageEnglish (US)
    Pages (from-to)363-376
    Number of pages14
    JournalGraphs and Combinatorics
    Volume27
    Issue number3
    DOIs
    StatePublished - May 2011

    Keywords

    • Collision-free motion
    • Folding
    • Unfolding

    ASJC Scopus subject areas

    • Theoretical Computer Science
    • Discrete Mathematics and Combinatorics

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