Can geometric shapes be physically locked in place?
In short: This lecture explores the mathematical complexity of linkages and the Carpenter's Rule. It examines why certain geometric structures become stuck and how higher-dimensional chains might unfold.
Presented by Erik Demaine, this session examines the geometric properties of pseudotriangulation and the implications of Carpenter's Rule. The discussion covers the mathematical proofs behind non-zero stresses and the behavior of linear and equilateral locked trees. Additionally, the lecture investigates the complex mechanics involved in the unfolding of 4D chains.
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Sources
- Summary by Intellect · source: Class 13: Locked Linkages
- Also: Class 13: Locked Linkages | MIT Learn
- Also: ocw.mit.edu — Class 13: Locked Linkages | Geometric Folding Algorithms: Linkages, Origami, Polyhedra | Electrical Engineering and Computer Science | MIT OpenCourseWare
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