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Flexibility of structures is extremely important for chemistry and robotics.Following our earlier work, we study flexibility using polynomial equations,resultants, and a symbolic algorithm of our creation that analyzes theresultant. We show that the software solves a classic arrangement ofquadrilaterals in the plane due to Bricard. We fill in several gaps inBricard's work and discover new flexible arrangements that he was apparentlyunaware of. This provides strong evidence for the maturity of the software, andis a wonderful example of mathematical discovery via computer assistedexperiment.

Flexibility of Bricards planar linkages and other structures via resultants and computer algebra