History Dependent Cellular Automata

I have been exploring a variety of cellular automata lately and here is another one.

This is from another idea I had. Andrew Adamatzky let me know there has been work done using previous states before referred to as “Cellular Automata with Memory”. See these papers by Ramon Alonso-Sanz for other examples of 1D and 2D CAs using memory from previous generations.

This is a totalistic CA that uses the usual 8 immediate neighbor cells as well as the last step’s current cell and 8 neighbors. This gives a total of 17 neighbor cells that can influence the birth and survival of the cells.

I call them “History Dependent Cellular Automata” because they depend on the previous cycles’ neighbor cells as well as the usual 8 immediate neighbor cells.

History Dependent Cellular Automaton

Here are a few animated GIFS showing some early results. The GIF thumbnails are messy, so click them to see the clear GIFs.

Amoebas 01

History Dependent Cellular Automaton

Amoebas 03

History Dependent Cellular Automaton

Sample 01

History Dependent Cellular Automaton

Space Ships

History Dependent Cellular Automaton

I also experimented with extending the history back another step.

History Dependent Cellular Automaton

This gives a much larger search space to find interesting rules within and the majority of rules are random chaos, but here are a few interesting results I stumbled on through random searches. Again, the GIF thumbnails are a mess, so click them to see the clear definition GIF animations.

Feeding Walkers

History Dependent Cellular Automaton

Space Ships

History Dependent Cellular Automaton

Surviving Clumps

History Dependent Cellular Automaton

I also experimented with extending these CA into 3D space. Same principal as 2D but with more neighbors in 3D. Here is an example movie.

These CAs are now included with Visions of Chaos if you want to have a play with them.

Jason.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s