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The Invertible Cube

Within - without - within

Due to his art studies and his discussion of questions relating to space and the zodiac, Paul Schatz discovered in 1929 that the Platonic solids could be inverted.

In particular the Invertible Cube, elaborated in accordance with the respective laws, and its specific, rhythmic mobility were to become the basis upon which Paul Schatz was to build his later work.

A third basic movement, a rhythmically pulsing inversion, was found and added to the two traditional basic movements of rotation (rotary motion) and translation (translational motion in a straight line). It soon became obvious that this new type of motion enabled countless and novel technical designs and approaches.

As soon as the cubic belt (A) is freed from its interlocking parts (B), it may be inverted, with the short edges, which are part of the pole edges within the cube, serving as hinges. In the course of this inversion it will assume, one after the other, positions C, D, and E as well as the one shown in the initial picture. The distance between the points, which is marked by arrows, always remains the same.