How do I simulate Conway's Game of Life?

Open this page and use the live Complex Functions 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 Conway's Game of Life from your own measurements.

Use case · powered by Complex Functions

Complex Functions for Conway's Game of Life

Simulate Conway's Game of Life live in your browser. This runs the real Complex Functions 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

Complex Function VisualizerLive

domain coloring · f(z) on the complex plane

Controls

Domain coloring maps each complex output to a color: hue = phase (argument), brightness = magnitude. Zeros are dark, poles are bright.

▶ Run in Python

Data Inspector

Functionz^2

Huearg f(z)

Brightness|f(z)|

Reading this result: z² doubles every angle, so the hue wheel wraps twice around the single zero at the origin — a double root shows as two full color cycles.

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 Complex Functions tool models Conway's Game of Life 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 Complex Functions

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Other ways to simulate Conway's Game of Life

Visual Node Graph for Conway's Game of Life Symbolic Math for Conway's Game of Life Vector Fields for Conway's Game of Life Notebook for Conway's Game of Life Fractal Explorer for Conway's Game of Life Fourier Series for Conway's Game of Life

Frequently asked questions

How do I simulate Conway's Game of Life?: Open this page and use the live Complex Functions 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 Conway's Game of Life from your own measurements.