A Billion Bits of the Center Column of the Rule 30 Cellular Automaton
The center column of the rule 30 cellular automaton over a billion steps of evolution
The resource contains a byte array of the data. Each byte gives 8 values from the center column, with the highest-order bit in each byte representing the value that appears first in the center column.
Examples
Basic Examples
Retrieve the sequence packed into bytes:
Out[1]= |  |
Unpack the sequence as bits (this can take some time):
The sequence contains a billion bits:
Out[3]= |  |
It uses about 8 GB of memory:
Out[4]= |  |
Show the first 100 bits:
Out[5]= |  |
Compare with a direct computation:
Out[6]= |  |
Count the total number of 1s and 0s in the full sequence:
Out[7]= |  |
Count the number of occurrences of possible 2-grams:
Out[8]= |  |
Compute the running excess of 1s over 0s:
Find the extreme values:
Out[10]= |  |
Plot the running excess:
Out[11]= |  |
External Links
Bibliographic Citation
Wolfram Research,
"A Billion Bits of the Center Column of the Rule 30 Cellular Automaton"
from the Wolfram Data Repository
(2019)
Data Resource History
Publisher Information