The Schatz Inversion Kinematic is based upon the
dynamic geometry of the 'Invertible Cube' which was discovered in 1929 by
the Swiss anthroposophist and geometrician, Paul Schatz, who was then a resident
of Dornach.
The motion has the character of a double lemniscate,
each set at an angle of ninety degrees to the other. One node of each lemniscate is tiny and the other large,
so that a microcosm/macrocosm dimension is present in the machine's geometry
(see illustration below).

The Schatz kinematic has proven to be the optimum motion
for difficult mixing problems such as the homogeneous blending of particulate
solids - especially those of greatly different specific weight.
Also, unlike most mixing devices, the inversion kinematic is very gentle
so that almost no shear forces are generated.
For this reason it is often used in industry to mix explosives.
The mixing motion of the Canadian made 88 MIXERS
(manufactured by Inversion Machines Ltd.) is
based on the Schatz Inversion Kinematic.
One only needs to see one of these mixers in operation to
know that you are looking at a truly unusual phenomenon!
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