Ruby and Gold Broad Ribbon - Animation from Lissajous 3D

http://robertinventor.com/software/Lissajous_3D/index.htm
You can make your own animations like this and play them as a screensaver or export as videos, single frames etc.

If you use ribbons instead of tubes, the ribbons naturally vary in width because they are made by shifting the parameters that make the pattern - the ribbon is wider in places where the pattern is particularly sensitive to the change in the parameters.

To find out more:
http://robertinventor.com/software/Lissajous_3D/pattern_transformations.htm