Wave Function Collapse

Overlapping model, min-entropy heuristic, backtracking.

patterns.wfc · v1 · renderer canvas

Knot · N = 3 · 8 symmetries · 70×47 cells

Two cords crossing, one passing over the other. The output is a woven net: the solver has inferred that a cord may run straight, may cross, and may not simply stop. The output has edges rather than wrapping: a periodic output would impose a global constraint that no assignment can always satisfy — diagonal stripes of period four cannot close up around a grid 74 cells wide — and the solver would spend its whole budget discovering that.

[data-canvas-stage] { display: none; }

Drawn in the browser

This generator does not send you an image. The server sends a short description of one — the parameters below, plus a 32-byte key — and the drawing is done here, from the same byte stream the server would have used. That needs JavaScript, so with it switched off there is nothing to show.

The description itself is still public: /api/v1/g/patterns.wfc returns it, and the maths is in resources/js.

Knot · N = 3 · 8 symmetries · 70×47 cells

Controls · from schema()

Width

200 2048

Height

200 2048

Sample

Window size (N)

2 3

How much context a pattern carries. N = 2 knows only which pairs of cells may touch and produces something loose; N = 3 knows whole corners, and is where the output starts looking authored.

Symmetry

Which transforms of each pattern are also admitted. More symmetry means a richer output from the same sample, and a larger pattern set to propagate through.

Cells across

8 140

Measured across the long side. The solve is cells × patterns × adjacency, so this is the control that decides whether the render is instant or merely fast.

Colour

Grain

0 0.06

Entropy source

Picking a source changes the story on the receipt, never the quality: anything below class A is mixed with the OS CSPRNG before it reaches you. This result actually came from RANDOM.ORG.

seed token 90J8AKNA8J27P9CEADFHRC3JF0

Re-render keeps this token. Generate replaces it. That is the whole idea.

Burned into the corner before the file is written, so the image keeps its provenance wherever it ends up:

entropy in

16 bytes

stream used

8 bytes

rejections

duration

85 µs

palette

sample

Knot

sample size

9×9

window

3×3

symmetry

8 symmetries

cells

3,290

patterns before dedup

648

output is periodic

Seed receipt

Class A · Cryptographic

Atmospheric radio noise, sampled in Dublin moments ago.

source: RANDOM.ORG
observed: 2026-09-14T17:21:40+00:00
latency: 305ms
mixed with: csprng — always

https://www.random.org/randomness/ ↗

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The token is the seed, so this link recomputes the result rather than looking it up. No database, and it works for as long as v1 does.

This page and /api/v1/g/patterns.wfc run the same code. There is no private endpoint.

Wave Function Collapse

Result

Measurements

Seed receipt

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