A small browser demonstration: one seed, one local rule and a finite picture of its evolution.
Authors
Jordi Gartner
Research status
Completed
Published
Version
1
Watch a local rule unfold
Choose a number of generations and draw Rule 30 from a single centered seed. Each new row applies left XOR (center OR right) to the row above it. The center readout follows the original seed position.
The demonstration supports up to 128 generations and runs in your browser. Its text output provides another way to inspect the finite sequence.
What the picture tells you
The picture shows the evolution for the selected finite interval. Changing the displayed depth changes the amount of data, not the mathematical status of the center-column problem. An irregular-looking pattern is not a proof of nonperiodicity.
The research project page explains the open question and the distinction between experiments and arguments. This demonstration is separate from a reviewed research release.
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
Black = 1 · light = 0 · one centered initial cellCenter column (top to bottom)
Contributions & AI assistance
Contributions
Jordi Gartner directs this personal research archive and decides what is released. Publication-specific authorship and contributions are recorded with each work; the website alone does not establish independent scientific review.
AI assistance
This archive is prepared with AI assistance. Research records include AI-assisted exploration, programming, proof drafting and internal checks. A check by another AI agent is an internal check, not independent external review or peer review. Each released work must identify its contributors, checks and limitations.
Related releases
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