Can any complex shape be constructed using a mechanical linkage?
In short: Explore the mathematical foundations of Kempe's Universality Theorem. This MIT OpenCourseWare lecture examines how mechanical linkages can be used to represent semi-algebraic sets and discusses advanced geometric folding techniques.
This lecture from the MIT 6.849 course on Geometric Folding Algorithms investigates the boundaries of mechanical construction. It presents a proof regarding semi-algebraic sets in the context of Kempe's work and explores open problems related to sliding linkages and structures containing holes.
Beyond linkages, the session covers various origami axioms and concludes with an examination of hypar folding.
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Sources
- Summary by Intellect · source: Class 10: Kempe's Universality Theorem
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