Paul Schatz (22 December 1898,

Konstanz Konstanz (, , locally: ; also written as Constance in English) is a university city with approximately 83,000 inhabitants located at the western end of Lake Constance in the south of Germany. The city houses the University of Konstanz and was th ...

– 7 March 1979) was a

German German(s) may refer to: * Germany (of or related to) ** Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Ge ...

-born

sculptor Sculpture is the branch of the visual arts that operates in three dimensions. Sculpture is the three-dimensional art work which is physically presented in the dimensions of height, width and depth. It is one of the plastic arts. Durable sc ...

, inventor and

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

who patented the

oloid 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 circl ...

and discovered the inversions of the

platonic solids In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges c ...

, including the "invertible cube", which is often sold as an eponymous puzzle, the

Schatz cube The term Schatz can refer to: *An ornamental or occupational German surname meaning "treasure" or "treasury" (as a town treasurer) **A term of endearment in German-speaking countries, comparable to "honey" or "darling" in English *The futures contr ...

. From 1927 to his death he lived in Switzerland.

External links

Biography of Schatz from Schatz foundation websitePaul Schatz models (in German)

* ttp://www.mathematische-basteleien.de/kaleidocycles.htm About Kaleidocycles, including mention of Schatz cube 1898 births 1979 deaths People from Konstanz People from the Grand Duchy of Baden 20th-century Swiss mathematicians Anthroposophists 20th-century German mathematicians German emigrants to Switzerland {{Germany-mathematician-stub