A Universal Crease Pattern for Folding Orthogonal Shapes

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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Document Details

Document Type
Technical Report
Publication Date
Sep 29, 2009
Accession Number
ADA524705

Entities

People

  • Aviv Ovadya
  • Erik D. Demaine
  • Martin L. Demaine
  • Nadia M. Benbernou

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Artificial Intelligence
  • Computer Science
  • Crystal Lattices
  • Cubic Lattices
  • Diameters
  • Geometry
  • Information Operations
  • Mathematics
  • Mountains
  • Numbers
  • Real Numbers
  • Two Dimensional

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