Lissajous 3D 3.0

Lissajous 3D can make many beautiful relaxing animations. Inspired by sound, the first Lissajous patterns were made by reflecting a beam of light in mirrors attached to two tuning forks to make a dot of light that bounced around following a Lissajous curve.
Lissajous 3D trace the curves using a ribbon, or a tube, and the dot can oscillate in three or more directions, which takes the patterns into 3D.
By varying the frequencies, the material, the lighting, transparency and other options you can make new patterns of your own.Then you can show your new pattern as a screensaver on your computer, save it as an image to use in your own designs, or save it as an animated gif to upload to your web site or share with your friends.

Has wizard & randomiser to help make new patterns. You can set the patterns to respond to chords played in the companion program Fractal Tune Smithy, and the other way round, the fractal tunes can acompany the screensaver. You can also set the screen saver to play any music you have in other formats (midi, mp3, wav etc) and it can select tunes at random from a folder or cd. Many pattern transforming effects included too, some related to things that happen with real world Lissajous patterns, or mathematical transformations of them - pattern drift so they continually change shape, gravity, magnet, inversion (turn inside out), friction, etc. Also options to change the formula for the curve, and to make spirographs - those patterns made by rolling wheels within each other - this is the same idea but taken into 3D. Now includes textures, transparency, colour ripples, and various forms of ribbon or tube including star cross section tubes, twisting tubes and bead effects, strings of spheres, and ribbons with ripples. Fog can be added as well depending on the distance into the shape - so you can have shapes that disappear in and out of the mist. Also you can make curves that spiral around themselves as they trace the Lissajous curve.