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Additive lattice kirigami.

Toen Castle1, Daniel M Sussman1, Michael Tanis1

  • 1Department of Physics and Astronomy, University of Pennsylvania, 209 South 33rd Street, Philadelphia, PA 19104, USA.

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|September 29, 2016
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Summary
This summary is machine-generated.

This study simplifies lattice kirigami rules to unify diverse cutting and pasting techniques. These refined methods enable the creation of complex 3D shapes from flat sheets using minimal, adaptable kirigami principles.

Keywords:
Kirigamigeometryorigamiz-plasty

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Computational Geometry

Background:

  • Kirigami, the art of cutting and folding, creates 3D structures from 2D sheets.
  • Lattice kirigami introduces defects (Gaussian curvature) into 2D lattices via cutting and rejoining.
  • Previous methods used extensive rules for generating stepped structures.

Purpose of the Study:

  • To minimize and unify lattice kirigami rules.
  • To develop a universal set of cut-and-paste techniques.
  • To explore complex lattice structures and additive kirigami methods.

Main Methods:

  • Reducing existing kirigami rules to a minimal set.
  • Developing techniques for adding material and rejoining across arbitrary cuts.
  • Investigating the impact of complex lattices on resulting 3D structures.
  • Introducing an additive kirigami method for overlapping cuts on non-flat surfaces.

Main Results:

  • A unified set of techniques for diverse kirigami actions.
  • Demonstration of adding material and rejoining across cuts.
  • Identification of new structures arising from complex lattices.
  • A methodology for constructing complex 3D shapes through additive kirigami.

Conclusions:

  • Minimal rules effectively unify a broad range of kirigami actions.
  • The additive kirigami method facilitates the creation of complex 3D geometries.
  • This approach offers a versatile toolkit for fabricating intricate structures.