Discovered by Paul Schatz
in 1929, the Oloid is defined as the
convex hull of 2 circumferences of radius R equal
to each other, arranged on two orthogonal planes and such that each of the 2
steps to the center of the other.
The Oloid has a shape
particularly suitable for the mixing of fluids.
The Oloid surface S is equal to the area of the sphere of radius R;
while by means of
numerical calculation, it can estimate the volume V:
The Oloid is the only three-dimensional shape that can rotate on its entire surface.
When is made to roll on
a flat horizontal surface, the Oloid moves uniformly because the distance from
its center of mass at the surface is almost constant.
Prof. Dr. Peter Berger: http://www.prof-dr-berger.de/_figurint-tork.htm
The dell'Oloide equation corresponds to an algebraic surface of order 8 :
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