Related Experiment Video
Updated: Feb 22, 2026

Design and Synthesis of a Reconfigurable DNA Accordion Rack
Published on: August 15, 2018
Flexibility of Bricard's linkages and other structures via resultants and computer algebra
Robert H Lewis1, Evangelos A Coutsias2
1Fordham University, New York, NY 10458, USA.
Abstract:
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 the resultant. We show that the software solves a classic arrangement of quadrilaterals in the plane due to Bricard. We fill in several gaps in Bricard's work and discover new flexible arrangements that he was apparently unaware of. This provides strong evidence for the maturity of the software, and is a wonderful example of mathematical discovery via computer assisted experiment.
More Related Videos
Related Concept Videos
Fundamental Theorem of Algebra
Resultant Moment: Vector Formulation
The resultant moment of a system of forces can be calculated through vector formulation. For example, if we consider...
Statically Indeterminate Problem Solving
Unsymmetric Bending
Resultant Moment: Scalar Formulation
To determine the resultant moment, the moments caused by all the forces in a system in the x-y plane are considered. Positive moments are typically...
Woodward–Hoffmann Selection Rules and Microscopic Reversibility

