26/07/2019

15. Oloid

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.






This grooved surface has many interesting properties (for example, all of its generating lines have the same length).



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.


 The dell'Oloide equation corresponds to an algebraic surface of order 8 :




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