rule30

This project efficiently implements Stephen Wolfram's elementary cellular automata (Rule 30 being a notable example), specifically their single 1 histories. Histories can be generated in various matrix formats (including numpy.ndarray) and exported as strings or images.

Installation

To install from PyPI:

pip install rule30

To install and develop from this repository:

./setup.py develop

API reference

See rule30.zhimingwang.org.

Console script

$ rule30 --help
usage: rule30 [-h] [-n ROWS] [-r [RULE]] [-s BLOCK_SIZE] [--version] [--debug]
              image

Generate images for the single 1 histories of Stephen Wolfram's elementary
cellular automata.

positional arguments:
  image                 path to the output image (PNG format)

optional arguments:
  -h, --help            show this help message and exit
  -n ROWS, --rows ROWS  number of rows to generate; default is 256
  -r [RULE], --rule [RULE]
                        Wolfram code of the rule (between 0 and 255); default
                        is 30
  -s BLOCK_SIZE, --block-size BLOCK_SIZE
                        the size in pixels for each cell; default is 1
  --version             show program's version number and exit
  --debug               enable debug messages

See also

• Elementary Cellular Automaton, Wikipedia;
• Rule 30, Wikipedia;
• Elementary Cellular Automaton, Wolfram MathWorld;
• Cellular Automata, Stanford Encyclopedia of Philosophy;
• The 256 Rules, Stanford Encyclopedia of Philosophy.

Images

Here are the images for some interesting rules with individual pages on Wolfram MathWorld. Images for all 256 rules can be found in the images directory.

Rule 30:

Rule 50:

Rule 54:

Rule 60:

Rule 62:

Rule 90:

Rule 94:

Rule 102:

Rule 110:

Rule 126:

Rule 150:

Rule 158:

Rule 182:

Rule 188:

Rule 190:

Rule 220:

Rule 222:

License

Copyright (c) 2017 Zhiming Wang <zmwangx@gmail.com>

This project is licensed under the MIT license. See COPYING for details.

Images in the images directory are separately licensed under CC0 1.0 Universal.