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The mechanism is built based on the fact that while the n-sided Reuleax polygon makes 1 rev in an ambient polygon, its center traces a loop n times. See:
Transformation ratio is 3 (= n, number of Reuleax polygon sides) Velocity of the output shaft is very inconstant.
Theoretically, by increasing number of sides of a Reuleax polygon (7, 9, 11 …) it is possible to get large transformation ratio and make the velocity less inconstant.
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