Draw Rule 30 in your browser, starting from one occupied cell.
Authors
Jordi Gartner
Research status
Completed
Published
Version
2
Try it
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 sequence.
The image and center-column output cover only the selected number of generations. An irregular pattern in this finite calculation does not prove nonperiodicity. The research page explains the open question.
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)
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