It is shown that a very small change in the initial angle of orientation of a tumbling cube can be detected by a shift in the endpoint of the trajectory after the cube travels a minimum distance. Specifically, if a cube travels forward in the x direction, with s the number of forward steps (tumbles) in the trajectory, the average sideways deviation DY in final position produced by a change in initial angle 0 dq is given by DY = a(s ? s0), where a is the average length of the sideways step during each tumble and s0 a term which depends logarithmically on 0 dq . It is proposed that the reason cubes (dice) are popular in games of chance is because this ability of the cube trajectory to magnify small changes allows the possibility for mental influence to act. A general outline is given for experiments using traveling cubes which can test for the action of mental influence.
