Strange Attractors

Famous strange attractors rendered at 100 million particles and more, and eight new ones found by a GPU search through 2.5 billion random flows. Every one was re-checked in full 64-bit precision, and the audit retracted two of our own.

Discoveries II: a translucent violet, teal and gold strange attractor folding through itself on black — Discoveries II Strange attractors, searched 84 s seamless loop · 160M particles · 4K60 HDR

How they were found

bar length = log of count

2,500,000,000searched
514,400,710bounded
3,084,347confirmed chaotic
6,025unique
480reviewed
24curated
8named

Then a full-precision audit dropped two of our own: Harp leaks 37% of its seeds, and Tulip, from the first search, turned out to be transient chaos that always escapes. Tulip’s story is in the write-up.

Read: Chaos with nothing to orbit

Pieces

11 in this series

The Aizawa attractor: a glowing sphere of violet, gold and teal threads with a tunnel through its axis

Aizawa Metamorphosis Loop 36 s · 200M particles · the sphere with a tunnel

A single particle cloud midway between two classic strange attractor shapes

Attractor Metamorphosis Loop 160M particles flow through six classic attractors in one cloud

The Lorenz butterfly attractor drawn in fine glowing threads

The Butterfly series Loops 2M pendulums per frame, released a millionth of a radian apart

Magnetic pendulum basins: interlocking teal, magenta and gold regions around three bright magnets

Magnetic Basins Loop 14.7M magnetic pendulums, one per pixel, paint their own fractal

The Hidden Attractors live exhibit: seeds falling into two chaotic attractors, with on-screen labels

Hidden Attractors Live · WebXR four 64-bit-verified attractors with no centre; drop seeds and watch

Live piece · public hosting coming

Conch: a hidden attractor of blue and violet threads coiled like a shell

Conch Write-up 15 terms pruned to 7, with zero fixed points

Thomas Bloom Loop friction eases 0.20 → 0.075 and back across 150M particles
Discoveries (I) Loop six attractors from 1.6M random flows; one later retracted
Hyperchaos 4D Live threads a four-dimensional flow drawn as about 170 threads you can twist
Are our attractors new? Audit compared with 89 catalogued systems and 17 no-equilibrium flows

Try it live

in your browser · opens everdust.ai

Lighter live versions that run on a phone, a laptop or in Vision Pro, each under 1 MB to load. They are real-time simulations, so the particle counts are far below the renders above.

The live Strange Attractors scene: a Lorenz butterfly of violet and gold particles on black

Strange Attractors (opens in a new tab) Live · WebXR 200,000 particles fly from Lorenz to Aizawa, Thomas and Halvorsen

0.7 MB · phone + Vision Pro

Three glowing orbs stirring swirls of teal and blue ink on black

Three-Body Ink 3D (opens in a new tab) Live · WebXR three orbs on a real three-body orbit stir glowing ink until one escapes

0.8 MB · phone + Vision Pro

More live pieces are at everdust.ai/play (opens in a new tab)

See them in Everdust

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