By representing multiplications on a circle, and joining the multiplier by the answer with a modulo reprensenting the circle and moving then, hypnorizing displays emerge.
rosaces.m is a script displaying a single image.
make_avi.m is a script creating an avi file by displaying a range of multipliers.
TablesMultiplication.m is an real-time interactive display where one can change the parameters.
Here is a demo of an avi movie: https://www.youtube.com/embed/FccXPv1TKzo
This Youtube video explains in great detail and fun the idea.