Rule 30 explorer

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Explore Rule 30 from a single black cell, up to 128 rows.

Authors: Jordi Gartner
Research status: Completed
Published: 2026-10-08
Version: 3

Try it

Choose how many rows to draw. Rule 30 starts with one black cell in the center; each new cell follows left XOR (center OR right) from the row above it. The center readout follows the original seed position.

The browser demo shows up to 128 rows and also prints the center sequence as text. This is a finite view of the research question about its long-term behavior.

Rule 30, one row at a time

Start with one black cell. Each new cell depends on the three cells immediately above it.

The eight neighborhoods
Previous row	`111`	`110`	`101`	`100`	`011`	`010`	`001`	`000`
New cell	`0`	`0`	`0`	`1`	`1`	`1`	`1`	`0`

Related releases

No releases have been published for this project yet.

Version history

Version	Published	Change note
v4	2026-10-09	Updated publication information.
v3	2026-10-08	Editorial revision of English, German and Chinese copy; mathematical claims and evidence unchanged.
v2	2026-10-08	Wording revised for clarity; comment guidance updated where relevant.
v1	2026-10-08	Initial editorial overview; no research files released.

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