Grow the dot!

a Growing Fractal Structure: a classical DLA fractal image generation with a point or line-attractor

Select block size
Select attractor
Press 'Start' to start the animation.
See how a random image can be created on a grid, letting small dots move in random direction starting from the edge of the screen, until they come next to another dot that are already sit on the grid (in this case the moving dot will be stuck to the standing dot and a new dot will appear in a random position at the edge of the screen). At the beginning, only one block are placed on the center of the grid (or, if you select 'line' attractor, only one line is drawn at the bottom of the screen), so you must wait a little until the moving dot finds the block at the center (or at the bottom). But as the number of the fix-placed blocks increases, the speed of the growing gets faster.
It is quite interesting that each generated image looks very similar!
If you are interested at the theory behind this kind of fractal image generation, you can read more about Simulation of Diffusion-Limited Aggregation (DLA) and Brownian Tree Clusters here.