Conway's Game of Life Free

All Credit goes to Scotty Hoag

Beautiful patterns based on cellular automata

Free version. Live wallpaper app.

This live wallpaper displays beautiful patterns dynamically generated
by cellular automata. Tap on the screen to place cells, then watch
them interact with each other and mutate into unique formations. Bring
your home screen to life

Paid version Customization Options.
-Change the simulation rules to explore the possibilities of cellular automata!
-Choose the size and shape of both new and old cells.
-Choose the background type.
-Change various drawing properties.
-Toggle drawing of the underlying cell grid on or off.
-Draw an animated cursor for finger position with customizable size.
-Toggle resetting and randomly seeding the screen with cells when the
action is static for too long.

Free version does not include customization options.

find Paid version here:
http://market.android.com/details?id=com.vegantaram.android.live.wallpaper.conway