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do you have a functional link? Thanks, Kevin On Wed, Sep 28, 2011 at 3:17 PM, Rick Walker <looppool@cruzio.com> wrote: > Beautiful visual loop showing visual pattern consonance and dissonance > > > TinyURL.com/pendulumLOOP > > > What it shows: Fifteen uncoupled simple pendulums of monotonically > increasing lengths dance together to produce visual traveling waves, > standing waves, beating, and random motion. One might call this kinetic > art > and the choreography of the dance of the pendulums is stunning! Aliasing > and > quantum revival can also be shown. > > How it works: The period of one complete cycle of the dance is 60 > seconds. > The length of the longest pendulum has been adjusted so that it executes > 51 > oscillations in this 60 second period. The length of each successive > shorter > pendulum is carefully adjusted so that it executes one additional > oscillation in this period. Thus, the 15th pendulum (shortest) undergoes > 65 > oscillations. When all 15 pendulums are started together, they quickly > fall > out of sync—their relative phases continuously change because of their > different periods of oscillation. However, after 60 seconds they will all > have executed an integral number of oscillations and be back in sync > again > at that instant, ready to repeat the dance. > > Setting it up: The pendulum waves are best viewed from above or down the > length of the apparatus. Video projection is a must for a large lecture > hall > audience. You can play the video below to see the apparatus in action. > One > instance of interest to note is at 30 seconds (halfway through the > cycle), > when half of the pendulums are at one amplitude maximum and the other > half > are at the opposite amplitude maximum. > > -- Till now you seriously considered yourself to be the body and to have a form. That is the primal ignorance which is the root cause of all trouble. - Ramana Maharshi (1879-1950) Sound and Vision: http://www.minds-eye.org Video http://www.vimeo.com/user877640/videos