RulePlot

RulePlot[sys]

generates a plot representing the rule for the computational system sys.

RulePlot[sys,init,t]

generates a plot of the evolution of the system sys from initial condition init for t steps.

RulePlot[sys,evol]

generates a plot of the evolution evol assuming it is derived from a system of the form sys.

Details and Options

  • Possible computational systems sys include:
  • CellularAutomaton[spec]cellular automaton
    TuringMachine[spec]Turing machine
    SubstitutionSystem[spec]substitution system
    BooleanFunction[spec]Boolean function
  • RulePlot works with 1D and 2D systems.
  • Options include:
  • AppearanceAutomaticoverall appearance
    ColorRulesAutomaticrules for determining colors from values
    FrameTruewhether to draw a frame around rule cases
    FrameStyleAutomaticthe style to use for a frame
    MeshAutomaticwhether to draw a mesh
    MeshStyleAutomaticthe style to use for a mesh
    PlotLegendsNonelegends to include
    PlotMarkersAutomaticmarkers for Turing machines, etc.
    PlotTheme$PlotThemeoverall theme for the rule plot
    SpacingsAutomatichorizontal and vertical spacings
  • Possible appearance elements include:
  • "Contiguous"no space between states
    "Stacked"small space between states
    "Arrow"draw an arrow between states
    "Squares"squares for cells
    "Bricks"bricks for cells
    "Hexagons"hexagons for cells
    "Simplified"simplified rule cases
    "Short"show shortened list of rules
  • Possible plot legend forms include:
  • "Icon"use an icon as the legend
    "Text"use text as the legend
    exprarbitrary plot legend
  • In the form RulePlot[sys,evol], specific rules are typically ignored; only the implicit or explicit specification of number of colors, states, etc. is used.

Examples

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Basic Examples  (5)

Return the rule icon for elementary cellular automaton rule 30:

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Plot the evolution of a cellular automaton for 10 steps:

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Include the rule icon:

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Plot the evolution of a Turing machine:

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Return its rule icon:

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Generate the evolution of a Turing machine:

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Use RulePlot to display the history, using information on the rule to determine the form:

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Show the rule icon for a substitution system:

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Scope  (36)

Options  (18)

Applications  (2)

Properties & Relations  (2)

Introduced in 2016
(11.0)