Try Lissajous 3D. You can play these animations as your screen saver, make more patterns of your own - and explore the patterns in 3D.

confluence
floating
great wave circle dance crystals
Hasegawa and Hokusai
Hasegawa Tohaku Pine Trees
Hokusai Great Wave
Hokusai Mount Fuji seen through cherry blossom
Lotus Spiral
Lotus Van Gogh clip
Lotus-and-Hasegawa-streaky-ribbons
Lotuses
Monet and Van Gogh
Monet water lilies with Great Wave
Monet water lilies with Lotus
Monet water lilies with Lotus2
Monet water lilies with snow shadows
Monet-bewildering-spirals
poppies and orchids
poppies and snow shadows
poppy-blotch
scraps-of-texture
Snow Shadows
starry night cave crystal
starry night umbrella morph
sunflower bubbles
Van Gogh Billowing Starry Sky
Van Gogh frame
Van Gogh sunflower twisted tube
van gogh sunflowers
Van Gogh swoop
Van Gogh Transformations2
VanGogh sunflowers and snow with moving lights
Van-Gogh-Lissajous-spheres
wild orchid snow shadows