Accession Number:

ADA524705

Title:

A Universal Crease Pattern for Folding Orthogonal Shapes

Descriptive Note:

Corporate Author:

MASSACHUSETTS INST OF TECH CAMBRIDGE COMPUTER SCIENCE AND ARTIFICIAL INTELLIGENCE LAB

Report Date:

2009-09-29

Pagination or Media Count:

8.0

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.

Descriptors:

Subject Categories:

  • Theoretical Mathematics
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE