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            "]], {
          Axes -> None, Background -> GrayLevel[0], Boxed -> False, ImageSize -> 
           35, Lighting -> "Neutral", 
           PlotRange -> {{-1.1, 1.1}, {-1.1, 1.1}, {-1.1, 1.1}}, 
           PlotRangePadding -> {Automatic, Automatic, Automatic}}], 
         "z \[Rule] TemperatureMap"]}}}, Typeset`size$$ = {
    550., {273., 277.}}, Typeset`update$$ = 0, Typeset`initDone$$, 
    Typeset`skipInitDone$$ = False, $CellContext`ax$816$$ = 
    0, $CellContext`\[Omega]x$817$$ = 0, $CellContext`\[Phi]x$818$$ = 
    0, $CellContext`ay$819$$ = 0, $CellContext`\[Omega]y$820$$ = 
    0, $CellContext`\[Phi]y$821$$ = 0, $CellContext`az$822$$ = 
    0, $CellContext`\[Omega]z$823$$ = 0, $CellContext`\[Phi]z$824$$ = 
    0, $CellContext`tmax$825$$ = 0, Lissajous3D`cf$826$$ = False}, 
    DynamicBox[Manipulate`ManipulateBoxes[
     1, StandardForm, 
      "Variables" :> {$CellContext`ax$$ = 1, $CellContext`ay$$ = 
        1, $CellContext`az$$ = 1, Lissajous3D`cf$$ = 
        Hue[#4]& , $CellContext`tmax$$ = 1, $CellContext`\[Phi]x$$ = 
        Pi, $CellContext`\[Phi]y$$ = 0, $CellContext`\[Phi]z$$ = 
        0.5, $CellContext`\[Omega]x$$ = 2, $CellContext`\[Omega]y$$ = 
        3, $CellContext`\[Omega]z$$ = 5}, "ControllerVariables" :> {
        Hold[$CellContext`ax$$, $CellContext`ax$816$$, 0], 
        Hold[$CellContext`\[Omega]x$$, $CellContext`\[Omega]x$817$$, 0], 
        Hold[$CellContext`\[Phi]x$$, $CellContext`\[Phi]x$818$$, 0], 
        Hold[$CellContext`ay$$, $CellContext`ay$819$$, 0], 
        Hold[$CellContext`\[Omega]y$$, $CellContext`\[Omega]y$820$$, 0], 
        Hold[$CellContext`\[Phi]y$$, $CellContext`\[Phi]y$821$$, 0], 
        Hold[$CellContext`az$$, $CellContext`az$822$$, 0], 
        Hold[$CellContext`\[Omega]z$$, $CellContext`\[Omega]z$823$$, 0], 
        Hold[$CellContext`\[Phi]z$$, $CellContext`\[Phi]z$824$$, 0], 
        Hold[$CellContext`tmax$$, $CellContext`tmax$825$$, 0], 
        Hold[Lissajous3D`cf$$, Lissajous3D`cf$826$$, False]}, 
      "OtherVariables" :> {
       Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, 
        Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, 
        Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$,
         Typeset`skipInitDone$$}, 
      "Body" :> ($CellContext`\[Epsilon] = 10^(-5); 
       ParametricPlot3D[{$CellContext`ax$$ 
          Sin[$CellContext`\[Omega]x$$ 
             Lissajous3D`t + $CellContext`\[Phi]x$$], $CellContext`ay$$ 
          Sin[$CellContext`\[Omega]y$$ 
             Lissajous3D`t + $CellContext`\[Phi]y$$], $CellContext`az$$ 
          Sin[$CellContext`\[Omega]z$$ 
             Lissajous3D`t + $CellContext`\[Phi]z$$]}, {
         Lissajous3D`t, 0, 2 Pi $CellContext`tmax$$ 
          LCM[1/$CellContext`\[Omega]x$$, 1/$CellContext`\[Omega]y$$, 
            1/$CellContext`\[Omega]z$$]}, PlotStyle -> Thickness[0.01], Ticks -> 
         None, AxesStyle -> Gray, ColorFunction -> Lissajous3D`cf$$, 
         Background -> Black, ImageSize -> {550, 550}, PlotRange -> 
         Lissajous3D`plotRange]), "Specifications" :> {
        Style[
        "     x", 12, Bold, TextAlignment -> 
         Center], {{$CellContext`ax$$, 1, "Amplitude"}, 0, 1, ImageSize -> 
         Small}, {{$CellContext`\[Omega]x$$, 2, "Frequency"}, 1, 9, 1, 
         ControlType -> Slider, ImageSize -> 
         Small}, {{$CellContext`\[Phi]x$$, Pi, "Phase"}, 0, Pi, ImageSize -> 
         Small}, 
        Dynamic[
         Row[{
           Spacer[30], 
           
           Plot[$CellContext`ax$$ 
            Sin[$CellContext`\[Omega]x$$ 2 
               Pi (Lissajous3D`t/5) + $CellContext`\[Phi]x$$], {
            Lissajous3D`t, 0, 5}, AspectRatio -> 0.5, PlotRange -> {-1, 1}, 
            PlotLabel -> StringJoin["\!\(\*SubscriptBox[\(f\), \(x\)]\) = ", 
              ToString[$CellContext`\[Omega]x$$]], ImageSize -> 120]}]], 
        Delimiter, 
        Style[
        "     y", 12, Bold, TextAlignment -> 
         Center], {{$CellContext`ay$$, 1, "Amplitude"}, 0, 1, ImageSize -> 
         Small}, {{$CellContext`\[Omega]y$$, 3, "Frequency"}, 1, 9, 1, 
         ControlType -> Slider, ImageSize -> Small, Appearance -> 
         "Labeled"}, {{$CellContext`\[Phi]y$$, 0, "Phase"}, 0, Pi, ImageSize -> 
         Small}, 
        Dynamic[
         Row[{
           Spacer[30], 
           
           Plot[$CellContext`ay$$ 
            Sin[$CellContext`\[Omega]y$$ 2 
               Pi (Lissajous3D`t/5) + $CellContext`\[Phi]y$$], {
            Lissajous3D`t, 0, 5}, AspectRatio -> 0.5, PlotRange -> {-1, 1}, 
            PlotLabel -> StringJoin["\!\(\*SubscriptBox[\(f\), \(y\)]\) = ", 
              ToString[$CellContext`\[Omega]y$$]], ImageSize -> 120]}]], 
        Delimiter, 
        Style[
        "     z", 12, Bold, TextAlignment -> 
         Center], {{$CellContext`az$$, 1, "Amplitude"}, 0, 1, ImageSize -> 
         Small}, {{$CellContext`\[Omega]z$$, 5, "Frequency"}, 1, 9, 1, 
         ControlType -> Slider, ImageSize -> 
         Small}, {{$CellContext`\[Phi]z$$, 0.5, "Phase"}, 0, Pi, ImageSize -> 
         Small}, 
        Dynamic[
         Row[{
           Spacer[30], 
           
           Plot[$CellContext`az$$ 
            Sin[$CellContext`\[Omega]z$$ 2 
               Pi (Lissajous3D`t/5) + $CellContext`\[Phi]z$$], {
            Lissajous3D`t, 0, 5}, AspectRatio -> 0.5, PlotRange -> {-1, 1}, 
            PlotLabel -> StringJoin["\!\(\*SubscriptBox[\(f\), \(z\)]\) = ", 
              ToString[$CellContext`\[Omega]z$$]], ImageSize -> 120]}]], 
        Delimiter, {{$CellContext`tmax$$, 1, "fraction\nof cycle"}, 
         Rational[1, 100000], 1, ControlType -> Slider, ImageSize -> 
         Small}, {{
         Lissajous3D`cf$$, Hue[#4]& , "Color\nScheme"}, {(Hue[#4]& ) -> 
          Tooltip[
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