ConwayLife.com

... I have added a sixth type, which only operates on the parent cells, so doesn't animate.
The tool is presented now on this page: https://sites.google.com/site/tomlowepr ... mataFinder
where you can download it. It now starts up with six examples.

I think it depends on the mapping, but the interesting mappings (that don't look like white noise) seem to sort of self-organise, so the low-res scales more or less match the high-res scales.
So if the smaller scale evolves into a spark and disappears this may encourage the large scale cell to ...

And two more petri dish specimens, hi res: http://vimeo.com/36951270

Yes, I wrote the program, here it is: https://docs.google.com/open?id=0B8S7Si-yu3DoOGJhNDVmZDctZDIyYy00NWFmLTg3OGEtOWVmNGU3OTMyZmNm
I didn't have time for a GUI, so the control keys are described in the command window. Let me know if you have problems.

Since the number of possible mappings is huge ...

Hello all,
here is a video of variations of a fractal cellular automata. In addition to the translation symmetry of usual cellular automata they also have scale symmetry:

http://vimeo.com/36816056

Let me know if you like them. They all use the same algorithm, just varying the mapping tables.