L-Systems + golden ratio + Prewrite

Questions
1

I’ve been playing with Lindermayer’s L-Systems these days, in supercollider the Prewrite function, and one of the things I wanted to experiment with is applying the golden ratio to the system itself. My maths is quite limited and I didn’t manage to do it.
The idea would be as follows:

~phi = (1 + sqrt(5)) / 2;

// Definition of the system L
~axiom = ‘A’;
~rules = (
    A': “AB”,
    B': ’A’
);

But I got errors on all attempts. Has anyone ever tried it successfully ?

Translated with DeepL.com (free version)

2

This blog post and the accompanying thesis are on L Systems, focusing on using them in SC. The code was updated to work on a more current version of SC in 2016. There is also the disclaimer that you’ll need the wslib quark. Hopefully this is a helpful starting point at the very least.

Here’s my attempt at a simple binary L system. I’m not sure how you’re incorporating the golden ratio, though.

(
~rules = { |x| if (x == 1, {[0, 1]}, {[1]} ) };


~lSystem = {|seed, rules, n = 1|
	// Var to store most recent iteration
	var prev = [seed];
	// For each n iteration
	n.collect{|i|
		// Evaluate rules for each item
		prev = prev.collect{|item, j|
			rules.(item);
		}.flat;
	};
}; // ~lSystem
)

~lSystem.(0, ~rules, 5)