Reid's 6.885 page

Linkages

A braced contraparallelogram

Read about it, or see it.

Classification of drawable sets

A proof that the sets that can be drawn by planar linkages are exactly the compact semi-algebraic sets (plus the entire plane). Also includes a construction for a linkage which draws the union of two drawable sets.

Optimal linkages

"Proofs" that multiplying an angle by n requires Θ(log n) bars and the general Kempe construction requires Θ(n2) bars.

Kempe's theorem paper

Draft of an outline for a paper describing the "original" proof of Kempe's theorem, as well as some extensions.

Infinitesimal carpenter's rule theorem

Demonstrations of a algorithm for finding an infinitesimal motion of a flat linkage. Explanation of the algorithm.