A desktop sculpture that brings art, science, beauty and technology together in a single piece of solid metal. Perfect for thinkers, makers, visionaries, learners, teachers, and even for children.


The oloid is an intriguing and widely unknown geometric shape with amazing mathematical and aesthetic properties. It was discovered in 1929 by German sculptor, inventor and mathematician Paul Schatz.


The mysterious shape

The surface of the oloid is a developable surface, meaning that patches of the surface can be flattened into a plane. While rolling, it develops its entire surface: every point of the surface of the oloid touches the plane on which it is rolling, at some point during the rolling movement. 

Unlike most axial symmetric objects (cylinder, sphere etc.), while rolling on a flat surface, its center of mass performs a meander motion rather than a linear one. In each rolling cycle, the distance between the oloid's center of mass and the rolling surface has two minima and two maxima.

oloid recorrido-min.gif

What is so special about the oloid?


Although its shape is curved, it moves in a perfect straight line.

Although its shape is not round, it rolls. 

It has sharp edges, but its motion is gentle and smooth. 

While it rolls, every single point of its surface touches the ground. 

Its surface area is identical to a sphere of the same radius.

It has incredible functional properties; the oloid shape can be used for water treatment, as a propeller in navigation, or as stirrer in biotechnology.

If the distance of two centers of disk is equal to the radius, then the convex hull produces another figure that rolls smoothly and is known as the oloid.
— (Schatz 1975)