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Re: animated, variable color lines in ListPlot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg15669] Re: animated, variable color lines in ListPlot
  • From: "Allan Hayes" <hay at haystack.demon.co.uk>
  • Date: Sat, 30 Jan 1999 04:29:01 -0500 (EST)
  • References: <78pc1u$d17@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Dick Phillips wrote in message <78pc1u$d17 at smc.vnet.net>...
>Hi,
>
>I'm trying to do an animation of the progressive development of a curve
>in ListPlot, where the color of a just-revealed segment of the curve is
>different from the previously-displayed segment. That is, at the end of
>the animation, the complete curve will be multi-colored. It's easy to
>change the color of the ENTIRE cuve at each time step, but I need to
>show the color evolution.
>
>Thanks for any ideas on how to do this.
>
>Dick Phillips
>

Dick,
I'd be inclined to start from the data:

data= Table[Random[],{10},{2}];

List the ends ot the segments.

endsList =Partition[data, 2,1];

Add the position of each end.

indexedEndsList = MapIndexed[List[#1, #2[[1]]]&,endsList];

Define the style of a segment in terms of the ends and its position
(index).

style[ends_,index_]:=  Hue[.7 index/(Length[indexedEndsList])];

(*example only - choose your own styling*)

Make list of styled segments.

f[{ends_,index_}]:= {style[ends, index], Line[ends]};
styledLine=Map[f,indexedEndsList];

Show the development of the plot

Do[
    Show[Graphics[Take[styledLine,n]],
         PlotRange->
          {{Min[First/@data],Max[First/@data]},
         {Min[Last/@data],Max[Last/@data]}},
          Axes->True,
          AxesOrigin -> {0,0}
     ],
    {n,Length[data]-1}
]

Allan Hayes
Mathematica Training and Consulting
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565




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