How do I simulate a firefly sync?

Open this page and use the live Abelian Sandpile 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 firefly sync from your own measurements.

Use case · powered by Abelian Sandpile

Abelian Sandpile for a firefly sync

Simulate a firefly sync live in your browser. This runs the real Abelian Sandpile 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

Abelian SandpileLive

self-organized criticality

Controls

Speed1×

Grains drop on the center cell. When a cell reaches 4 grains it topples, sending one to each neighbor — which can trigger chain-reaction avalanches. The pile self-organizes into an intricate fractal at the critical slope.

▶ Run in Python

Data Inspector

Grains added0

Last avalanche0

Topple at4 grains

Governing equation

z_{ij} \geq 4 : z_{ij} \to z_{ij} - 4, z_{nbr} \to z_{nbr} + 1; grains = 0

Reading this result: The pile is still filling toward its critical slope; once cells reach 4 grains, chain-reaction topples begin.

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

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About this simulation

The full Abelian Sandpile tool models a firefly sync 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.

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Frequently asked questions

How do I simulate a firefly sync?: Open this page and use the live Abelian Sandpile 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 firefly sync from your own measurements.