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A Million Bits of the Center Column of the Rule 30 Cellular Automaton

The center column of the rule 30 cellular automaton over a million steps of evolution

Originator: Stephen Wolfram

This data was presented in a graphic on page 871 of Stephen Wolfram's "A New Kind of Science".

(1000000 elements)

Examples

Basic Examples

Retrieve the resource:

Retrieve the default content:

In[1]:=
ResourceData["A Million Bits of the Center Column of the Rule 30 Cellular Automaton"]
Out[1]=

Count the number of 1s and 0s:

In[2]:=
Counts[ResourceData[ "A Million Bits of the Center Column of the Rule 30 Cellular Automaton"]]
Out[2]=

Make a “random walk plot” of the first 100,000 elements:

In[3]:=
ListLinePlot[ Accumulate[(-1)^ Take[ResourceData[ "A Million Bits of the Center Column of the Rule 30 Cellular Automaton"], 10^5]]]
Out[3]=

Plot the distribution of displacements for the walk:

In[4]:=
Histogram[ Accumulate[(-1)^ ResourceData[ "A Million Bits of the Center Column of the Rule 30 Cellular Automaton"]]]
Out[4]=

Find the longest run of identical elements in the sequence:

In[5]:=
Max[Length /@ Split[ResourceData[ "A Million Bits of the Center Column of the Rule 30 Cellular Automaton"]]]
Out[5]=

Wolfram Research, "A Million Bits of the Center Column of the Rule 30 Cellular Automaton" from the Wolfram Data Repository (2017) https://doi.org/10.24097/wolfram.25316.data

Data Resource History

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Publisher Information

  • Publisher of Record: Wolfram Research