Every flame is one of a kind, no really.

It's a big claim. Here's the breakdown.

The size. A flame is a tiny genome: about fifty numbers that describe how light folds in on itself. The number of flames those numbers can describe is past 10^300, more than the atoms in the observable universe. That is not a figure of speech. It is the size of the parameter space, and you can prove it the way you prove a password's strength: by counting, not by guessing.

The evidence. We did not just do the math. We generated ten million flames and checked every one against every other. Zero were the same. We rendered thousands more and compared their shapes: no two matched beyond the very crudest outline, and even that vanishes the moment you look closer. Duplicates only become likely somewhere around 10^150 flames, so across every flame every Atheria user will ever make, yours stays yours.

The randomness. Every flame is born from your Mac's own hardware randomness: genuine, non-deterministic physical entropy from the system's secure generator, not a canned pseudo-random sequence dressed up as chance. And it all happens on your device. No servers, no cloud, nothing about you ever leaves your Mac. Your flame is a private, one-time event, and the short code that recreates it is the only copy that will ever exist, unless you choose to share it.

Ten million flames. Not two the same. All yours.

For the curious: how the randomness works

Atheria seeds every flame from Swift's SystemRandomNumberGenerator, which on a Mac is the operating system's cryptographically secure RNG, seeded from hardware entropy (Secure Enclave backed on Apple Silicon). The chaos-game accumulation that renders each frame uses a fast PCG hash on the GPU. Both are genuinely non-deterministic and run entirely on-device. We call no external randomness service, so there is no dependency to break and nothing to leak. "True random" here is not a slogan, it is the hardware in your Mac.

And the honest footnote a good engineer will ask for: the randomness source chooses which flame you get, not what a flame can look like. A quantum photon, your Mac's hardware RNG, and a strong pseudo-random generator all draw from the same space, so no one could ever tell them apart by eye. We use true hardware entropy because it costs nothing, stays on your device, and is honest, not because it makes a prettier flame. The beauty is in the math; the randomness just makes it yours.