An algorithm that shapes objects to cause them to roll down ramps following a desired path

Johnathon Klemp
August 13, 2023

Rolling paths and trajectoid shapes. a, An arbitrary curve T (dark blue) drawn on an inclined plane (grid) serves as one period of an infinite translationally symmetric trajectory T∞ to be traced by the trajectoid. b, A cylinder (gold) rolling along the plane (blue grid) must tilt sideways, as shown, to deviate from its preferred

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algorithm, and possible uses for it. Elisabetta Matsumoto and Henry Segerman with the Georgia Institute of Technology and Oklahoma State University, respectively, have published a News & Views piece in the same journal issue outlining the work done by the team on this new effort.

In this new effort, the research team started with an interesting puzzle—one that begins by envisioning a sphere rolling down a ramp. If the sphere is imagined to be made of clay, it can be manipulated (deformed) as it rolls to make it conform to a given path.

If the sphere is then rolled down the ram

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An algorithm that shapes objects to cause them to roll down ramps following a desired path

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