Paul Schatz (22 December 1898, Konstanz – 7 March 1979) was a German-born sculptor, inventor and mathematician who patented the oloid and discovered the inversions of the platonic solids, including the "invertible cube", which is often sold as an eponymous puzzle, the Schatz cube. From 1927 to his death he lived in Switzerland. External links Biography of Schatz from Schatz foundation website Paul Schatz models (in German) Hans Dirnböck, Hellmuth Stachel: The Development of the Oloid 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