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...

surface Right conoid Conical surface Helicoid Developable rollers (sphericon, oloid) Hyperboloid of one sheet (doubly ruled) Hyperbolic paraboloid (doubly ruled)...

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...

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...

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...

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...

two sheets Hyperbolic paraboloid (a ruled surface) Paraboloid Sphericon Oloid Dini's surface Pseudosphere See the list of algebraic surfaces. Cayley cubic...