Built the following over a week, after about a year of teaching myself group theory. Curious if it resembles anything here.
System description:
A deterministic transport engine that renders itself and checks its own claims live, in a browser, with no external verification step.
The core is a single interpolation law driving an 8-phase cadence (turn → mirror → aperture → fold). A few things about it that I've verified rather than just eyeballed:
- Each full cycle has an exact invariant: the raw angular variation across one cadence is always 360°, independent of where the interior "aperture" phase lands.
- The transport realizes a genuine Klein four subgroup (identity, two reflections, their 180° composition). I checked this by direct computation, not just by construction.
- There's a signal-adapter layer that audits its own return-symmetry claims at runtime and reports honestly when something doesn't close, rather than displaying a forced answer.
I'm not a mathematician or a professional coder. I'm a writer and systems architect who came at this from group theory and geometry I taught myself. So I'm genuinely not sure where this sits relative to existing work in discrete generative systems, and I'd rather ask than assume.
Does this resemble anything in the NKS /cellular-automaton-adjacent space? Is "verify as you render" a known pattern here, or something people don't usually bother with? Happy to share the code--it's a single self-contained HTML file, no dependencies.
