An interactive atlas of hidden order
VOL. 001 / SEPTEMBER 2026Simple rules.Strangeworlds.
A few equations. An unexpected universe.
Explore the delicate boundary between order and chaos, one interaction at a time.
A thousand ways to see it.
PARAMETRIC ART / NOT A SIMULATION
A simple rule
Repeated interaction
An unexpected whole
Complexity can
begin with
almost nothing.
We tend to look for an elaborate blueprint behind an elaborate pattern. Sometimes the explanation is smaller: a rule, a starting point, and enough repetitions.
This is a hands-on study of three different mechanisms. Waves add together. Chaotic trajectories separate. Reacting, diffusing chemicals organize into patterns. They are not the same phenomenon. The common thread is how much can follow from so little.010203
Don't just look.
Disturb the system.
Change a parameter. Follow the consequence.
Every image below is calculated, not played back. You are inside the experiment.
LOCAL COMPUTATION / NO NETWORK
The mathematics, without the mystique
+ sin(kr₂ − ωt + φ)
k = 2π / λ
At each pixel, add two sinusoidal contributions. Here r₁ and r₂ are distances to the sources. In the time-average view, the normalized mean-square field is (1 + cos(k(r₁ − r₂) − φ)) / 2. This toy model assumes equal, constant amplitudes and omits geometric spreading and boundaries. Principle of superposition ↗
ẏ = x(ρ − z) − y
ż = xy − βz
The trajectories are integrated with fourth-order Runge–Kutta: Δt = 0.005, σ = 10, β = 8/3. The display uses a three-dimensional phase-space projection, not a map of physical motion. Changing ρ or the initial difference restarts both paths. The faint background is a reference trajectory for the current ρ. This is an educational numerical model, not a weather forecast. Original paper ↗
∂B/∂t = DB∇²B + AB² − (k + f)B
A discrete Gray–Scott model with DA = 1, DB = 0.5 and Δt = 1. Each step uses a nine-point Laplacian: −1 at the center, 0.2 at cardinal neighbors and 0.05 at diagonal neighbors, with periodic boundaries. GPU and CPU paths use the same update rule; resolution and precision differ. Colors encode B concentration with decorative relief shading. Model and implementation references ↗
A thought to take with you
You don't always need
more complicated rules.
Sometimes, you need
to let them interact.
These are deliberately small models, not complete explanations of nature. Their value is more immediate: you can change an assumption and see its consequences.
Not a video.
Not a replay.
A living page.
The sculpture, wave field, trajectories, and chemical textures are calculated live, on your device. No frameworks. No downloaded models. Just the browser, the mathematics, and you.
“Native” means this browser exposes the feature; it is not a universal compatibility claim. New CSS is progressively enhanced. Reduced-motion preferences are respected. GPU simulations pause when offscreen. Platform notes ↗
Field notes & references
SCIENCE, SOURCE MATERIAL, AND SCOPE +
Edition dated September 15, 2026. All artwork is procedural and original to this file. The hero is a parametric trefoil, not evidence of a physical process. The experiments are simplified, dimensionless educational models. Sound is an optional ambient sonification, not a recording or a physically scaled acoustic simulation. Links are the only features that need a network connection.