Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For K-12 Students · Cellular Automata

Cellular Automata for a gradient descent

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a gradient descent live below — adjust the inputs and watch it respond, right in your browser.

Elementary Cellular AutomatonLive

Wolfram rule 30

Controls

One rule, 256 possibilities. Rule 30 makes chaos; Rule 90 makes a Sierpiński triangle; Rule 110 is Turing-complete.

Presets

Rule number

▶ Run in Python

Data Inspector

Rule30

Cells201

Classchaotic/complex

Governing equation

s_{i}^{'} = f (s_{i - 1}, s_{i}, s_{i + 1}), rule = 30

Reading this result: Rule 30 is chaotic: from a single seed it produces patterns random enough that Wolfram used its center column as a random-number generator.

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

or unlock everything with Pro →

Also for:Students Researchers Educators Engineers Hobbyists & Makers First Responders General version →

More with Cellular Automata

Cellular Automata for a neural network Cellular Automata for a sorting algorithm Cellular Automata for a search tree Cellular Automata for a hash table Cellular Automata for a recommendation engine Cellular Automata for an image classifier Cellular Automata for a chatbot Cellular Automata for a pathfinding AI

Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Cellular Automata for a gradient descent" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.