Rule 102

Author

Eric W. Weisstein
August 31, 2016

This notebook downloaded from http://mathworld.wolfram.com/notebooks/CellularAutomata/Rule126.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/Rule126.html.

©2016 Wolfram Research, Inc. except for portions noted otherwise

Initialization

rule=126;

Rule

StringJoin[ToString/@IntegerDigits[rule,2,8]]

Plot

V5

ElementaryCADiagram[rule]

V6

ElementaryCADiagram[rule]

V11

RulePlot[CellularAutomaton[126]]

RulePlot[CellularAutomaton[126],{{1},0},15,Mesh->True,PlotLegends->"Icon"]

Variants

ElementaryCAVariants[rule]

Evolution

ArrayPlot[ElementaryCellularAutomaton[rule,250],Frame->False,PixelConstrained->True,ImageSize->1000]

Triangle of Values

ColumnForm[t=ElementaryCATriangle[rule,5],Center]

StringJoin@@@Map[ToString,t,{2}]

Flatten[t]

Represented in Decimal

ElementaryCATriangle[rule,15]

FromDigits[#,2]&/@%

FindSequenceFunction[%,n]

Generating Function

LookupFormat[FromDigits[#,2]&/@ElementaryCATriangle[rule,10]]

not found