Particle Spray

A Gaussian mixture with k random components.

images.spray · v1 · renderer canvas

450,000 particles · 5 components · σ ≈ 0.12 · alpha 0.110

Every particle picks a component by weight, draws two standard normals, and is placed by that component's own rotation and scale. Nothing is drawn twice and nothing is corrected afterwards — the structure on screen is the mixture's probability density, sampled a few hundred thousand times and accumulated in floating point so that marks far below one output level still add up to something visible.

[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/images.spray returns it, and the maths is in resources/js.

450,000 particles · 5 components · σ ≈ 0.12 · alpha 0.110

Controls · from schema()

Width

256 2048

Height

256 2048

Components

1 10

How many Gaussians the mixture is made of. One is a fuzzy dot; the interest is entirely in how several overlap.

Particles

5000 900000

Samples drawn from the mixture. The image is their density, so this is a grain control as much as a quantity one.

Component size

0.02 0.6

The typical standard deviation, as a fraction of the short side.

Elongation

1 9

The most a component's two axes may differ. At 1 every component is a circular blur; above 3 they become strokes with a direction, which is what stops the result looking like spilt milk.

Particle alpha

0.004 0.3

Per-particle opacity. The picture is the accumulation, so this wants to stay low.

Particle size

0.3 4

Additive blending

Particles add their light together instead of painting over each other. On a dark ground this is the whole look.

Halo drift

0 0.5

How far along the palette a particle travels as it lands further from its component's centre — so a core is one colour and its halo another.

Ground

Colour

Palette size

2 12

Grain

0 0.08

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 NIST Randomness Beacon.

seed token RKEQPNS1ZJ1BYSQ0QR2CB8NT40

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

303 bytes

rejections

duration

227 µs

palette

background

#010103

components

particles

450,000

mixture weights

0.015 0.368 0.091 0.286 0.24

Seed receipt

Class B · Public beacon cached

NIST Beacon pulse #2,005,732 — chained to every pulse before it, and signed.

Published openly — anyone can look this value up after the fact.

source: NIST Randomness Beacon
observed: 2026-10-30T11:14:00+00:00
latency: 0ms
mixed with: csprng — always

https://beacon.nist.gov/beacon/2.0/chain/2/pulse/2005732 ↗

Permalink

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/images.spray run the same code. There is no private endpoint.

Particle Spray

Result

Measurements

Seed receipt

Permalink