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

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Basic Examples

Retrieve the sequence packed into bytes:

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$bytes = ResourceData[ "A Billion Bits of the Center Column of the Rule 30 Cellular \ Automaton"]$

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Unpack the sequence as bits (this can take some time):

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The sequence contains a billion bits:

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It uses about 8 GB of memory:

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Show the first 100 bits:

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Compare with a direct computation:

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Count the total number of 1s and 0s in the full sequence:

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Count the number of occurrences of possible 2-grams:

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Compute the running excess of 1s over 0s:

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Find the extreme values:

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Plot the running excess:

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External Links

http://mathworld.wolfram.com/Rule30.html

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

Date Created: 23 September 2019

Source Metadata

Contributor: Xiangdong Wen

Publisher Information

Contributed By: Wolfram Research, Inc
Publisher of Record: Wolfram Research