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Looking for your artistic feedback about particular totalistic cellular automata rules for crochet granny squares! Which of the following outputs do you like best? (Each is a semi-random selection of 100 generations of a rule-based algorithm) Five designs will be shown in the replies below...

9/7/25, 10:53 pm4 reposts15 likes

mathgrrl

@mathgrrl.com

10 July 2025

hold up, if i change to a smaller rule-set and use my favorite number it is actually pretty cool. this rule is "if a cell is off and exactly one of its 4 closest neighbors is on, then the cell turns on" and "if a cell if on and none of its neighbors is on, then it stays on".

mathgrrl

@mathgrrl.com

10 July 2025

it's the introvert's "hello" rule. cells turn on to say hello if there is only one other person around. but then in the next step if any neighbors are around, the cell turns off

Rule 562

Rule 582

Rule 614

Rule 13426

@questionsindataviz.com

10 July 2025

These are amazing - I need to learn to crochet! (though entry level Hitomezashi might be more attainable for me). What is the maths behind them? Reminds me (a little) of my Decimal Walks project