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
Personal Author(s):
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.
Subject Categories:
- Theoretical Mathematics
- Cybernetics