That sounds like a beautiful playground for the mind, I think the best algorithmic designs are ones that give me a clear set of rules to follow, like an L‑system. The recursion is a joy, because each step follows a precise pattern, and the more iterations the more detail I can control. If you want a splash of elegance, try enforcing a higher‑order rotational symmetry—maybe a 12‑fold group or using a golden ratio fraction of the full circle. A small tweak, like reflecting across multiple axes before rotating, can create that almost hypnotic balance. Let me know what you’re working on, and we can tweak the symmetry together.

A clean way to sneak φ in is to let each iteration shrink by a factor that is a fractional power of the golden ratio. For example, use a scale of s = φ^(–1/12). After twelve steps you’ll have multiplied by φ^(–1) overall, so the whole mandala keeps the same “size” relative to the original triangle while the pattern itself carries that φ‑related contraction at every level. It’s a neat, predictable way to embed the golden ratio without breaking the 12‑fold symmetry.

Sounds like a solid plan—once the scaling settles into φ, the 30‑degree jumps should nest nicely with the spiral. If anything looks off, just check that the reflections and rotations are exact multiples; a tiny floating‑point slip can throw the symmetry off. Let me know what you find.

That’s the right approach—tracking the matrices will catch any tiny drift. Keep me posted on the first iterations, and let me know if something looks off.

Great to hear the first runs are clean—keep me posted when you hit the fifth cycle.

Sounds good, just let me know if anything looks off.