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Bumpy pyramid folding

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Publication:1615921
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DOI10.1016/j.comgeo.2018.06.007zbMath1443.68194OpenAlexW2954834823MaRDI QIDQ1615921

Zachary R. Abel, Martin L. Demaine, Erik D. Demaine, Hiro Ito, Ryuhei Uehara, Jack Scott Snoeyink

Publication date: 31 October 2018

Published in: Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.comgeo.2018.06.007


zbMATH Keywords

power diagramAlexandrov's theorembumpy pyramidpaper-folding problem


Mathematics Subject Classification ID

Computational aspects related to convexity (52B55) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)


Related Items (3)

Common developments of three incongruent boxes of area 30 ⋮ Efficient Algorithm for Box Folding ⋮ Developing a tetramonohedron with minimum cut length



Cites Work

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  • A linear-time algorithm for computing the Voronoi diagram of a convex polygon
  • Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes
  • Nonoverlap of the star unfolding
  • The volume as a metric invariant of polyhedra
  • A Pseudopolynomial Algorithm for Alexandrov’s Theorem
  • Power Diagrams: Properties, Algorithms and Applications


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