Oloid structure, showing the two 240 degree circular sectors and the convex hull.The plane shape of a developed Oloid surface
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.
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...
was a German-born sculptor, inventor and mathematician who patented the oloid and discovered the inversions of the platonic solids, including the "invertible...
linked teardrop shapes incorporate the skeleton and rolling motion of the oloid, a similar rolling shape formed from two perpendicular circles each passing...
non-axially-symmetrical rollers are the Reuleaux triangle and the Meissner bodies. The oloid and the sphericon are members of a special family of developable rollers...
from the curves are developable and ruled surfaces. Examples include the oloid, the convex hull of two circles in perpendicular planes, each passing through...
was known. The convex hull of these two circles forms a shape called an oloid. Depending on the relative orientations of the two components the linking...
curve Cones and, more generally, conical surfaces; away from the apex The oloid and the sphericon are members of a special family of solids that develop...
two sheets Hyperbolic paraboloid (a ruled surface) Paraboloid Sphericon Oloid Dini's surface Pseudosphere See the list of algebraic surfaces. Cayley cubic...
sphericon (which is a member of this family as well) or none, as in the oloid. Like the prime polysphericons the polycons are based on regular polygons...
developable Möbius strips. Conoid Catalan surface Developable rollers (oloid, sphericon) For the considerations below any necessary derivative is assumed...
park's pond between June 24 and August 25, 2019. After that, a Biolight Oloid Pyramaid water cleaning system with a fountain was installed. Fry of the...
Global Information
