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Accession Number ADA567850
Title Geometric Folding Algorithms: Bridging Theory to Practice.
Publication Date Nov 2009
Media Count 4p
Personal Author E. D. Demaine
Abstract I. RECONFIGURABLE ROBOTS: (a) Solved the hinged dissection problem, which was over a 100 years old, proving that any finite collection of shapes have a hinged dissection; (b) Proved that crystalline robots can reconfigure extremely efficiently: O(log n) time and O(n) moves; (c) Proved that any orthogonal polyhedron can be folded from a single, universal crease pattern (box pleating). II. ORIGAMI DESIGN: (a) Developed mathematical theory for what happens in paper between creases, in particular for the case of circular creases; (b) Circular crease origami on permanent exhibition at MoMA in New York; (c) Developing mathematical theory of Tomohiro Tachi's Origamizer framework for efficiently folding any polyhedron from a sheet of paper; (d) Developing mathematical theory of Robert Lang's TreeMaker framework for efficiently folding tree-shaped origami 'bases'.
Keywords Algorithms
Box pleating. polyhedrons
Folding
Geometry
Hinged dissection
Mathematics

 
Source Agency Non Paid ADAS
NTIS Subject Category 72B - Algebra, Analysis, Geometry, & Mathematical Logic
Corporate Author Massachusetts Inst. of Tech., Cambridge. Computer Science and Artificial Intelligence Lab.
Document Type Technical report
Title Note Final rept. 15 Jul 2007-14 Jul 2008.
NTIS Issue Number 1310
Contract Number FA9550-07-1-0538

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