Movement of an Oloid

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You see the wobbling motion of an oloid on a plane while making one-and-a-half turns, and can observe how this motion can be described by the locus of the brims in the plane. The plane is tangent to the surface of the oloid, and the set of all tangent planes can be used to define an inscribed body. When you reduce the opacity of the oloid, this inscribed body, an ellipsoid, becomes visible. The locus of the center of gravity of the oloid, the trajectories of the contact point between the ellipsoid and the plane, and the generator line can be shown.

Contributed by: Hans-Joachim Domke (January 2012)
Open content licensed under CC BY-NC-SA


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