How do I simulate a roller-coaster loop?

Open this page and use the live DLA Growth tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.

Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.

Can I use my own numbers?

Absolutely — every input is adjustable, and with data import you can drive a roller-coaster loop from your own measurements.

Use case · powered by DLA Growth

DLA Growth for a roller-coaster loop

Simulate a roller-coaster loop live in your browser. This runs the real DLA Growth solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

For:Students Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders

Diffusion-Limited AggregationLive

fractal growth · Brownian sticking

Controls

Speed1×

Particles wander randomly from the edge and stick where they touch the cluster. The result is a branching fractal — like frost, coral, and mineral dendrites.

Presets

Speed (walkers/frame)

▶ Run in Python

Data Inspector

Cluster size1

Grid200×200

Fractal dim.≈ 1.71

Governing equation

R \approx N^{1/ D_{f}} = 1^{1/1.71} \approx 1

Reading this result: Each walker sticks on first contact, so exposed tips capture particles before they reach the interior (screening) — that feedback is what makes the cluster branch as an open fractal.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

About this simulation

The full DLA Growth tool models a roller-coaster loop with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with DLA Growth

DLA Growth for a projectile from a cannon DLA Growth for a bouncing ball DLA Growth for a pendulum clock DLA Growth for a car braking DLA Growth for a satellite orbit DLA Growth for a mass on a spring DLA Growth for a skydiver's free fall DLA Growth for a two-cart collision

Other ways to simulate a roller-coaster loop

Particle / N-Body for a roller-coaster loop Heat & Wave Fields for a roller-coaster loop GPU Compute (WebGPU) for a roller-coaster loop WebGPU Fluid for a roller-coaster loop GPU N-Body for a roller-coaster loop GPU PDE Solver for a roller-coaster loop

Frequently asked questions

How do I simulate a roller-coaster loop?: Open this page and use the live DLA Growth tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?: Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?: Absolutely — every input is adjustable, and with data import you can drive a roller-coaster loop from your own measurements.