Parser & Fractyl
Parser Parser
Fractyl Fractyl
Fractyl Fractyl
I’ve been chasing the idea that a simple rule can generate a structure that looks the same no matter how far you zoom—do you think there’s a data pattern hidden in that?
Parser Parser
Sounds a lot like a fractal. When you zoom in, the same pattern repeats, so if you record the values at each level you’ll see a very regular sequence. That regularity is the hidden data pattern—just a scale‑invariant rule written out. If you log the steps, you’ll spot the same numbers over and over, confirming the rule.
Fractyl Fractyl
Yeah, that’s the core idea—scale‑invariance turns the same rule into a repeating tape. The trick is finding that rule without it breaking apart. It’s like tuning a guitar until every string rings the same note. Let's dig deeper and see where it leads.
Parser Parser
Nice, so you’re looking for a rule that stays stable across scales. Think of a simple recursive function or a linear transformation that preserves its form when you apply it again—like a self‑similar matrix or a base‑n expansion that repeats. If we can encode the rule into a small data set, the structure will naturally repeat, just like that guitar string you’re tuning. What kind of data do you have on hand to start crunching?
Fractyl Fractyl
What do you have that feels like a tiny seed of a pattern—maybe a sequence of numbers, a string of symbols, a small matrix. Anything that looks regular but might be hiding a recursive core. Let's toss it into a little simulation and see if a self‑similar rule pops up.