Oloid with stand

An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skeletal frame made by placing two linked congruent circles in perpendicular planes, so that the center of each circle lies on the edge of the other circle. The distance between the circle centers equals the radius of the circles. One third of each circle's perimeter lies inside the convex hull, so the same shape may be also formed as the convex hull of the two remaining circular arcs each spanning an angle of 4π/3.


Oloid on kolmemõõtmeline kõverjooneline geomeetriline objekt, mille avastas Paul Schatz 1929. aastal. Oloid on kumer kate skeletile, mis tekib kahest ühesugusest, kuid ristuvatel tasanditel asuvast ringjoonest, millest kummagi keskpunkt asub teisel ringjoonel.
Ringjoonte keskpunktide vaheline kaugus võrdub mõlema ringjoone raadiusega.Iga ringjoone punktidest üks kolmandik on oloidi sisepunktid, kaks kolmandikku aga oloidi välispunktid. Seetõt