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Cool example with ContourPlot+EvaluationMonitor

  • To: mathgroup at
  • Subject: [mg125518] Cool example with ContourPlot+EvaluationMonitor
  • From: psycho_dad <s.nesseris at>
  • Date: Sat, 17 Mar 2012 02:49:44 -0500 (EST)
  • Delivered-to:

The following example shows in real-time (sort of) how ContourPlot calculates a contour (in this example a unit circle):

f[x_, y_, freeze_] := (Pause[freeze]; (x^2 + y^2))
data = {}; freeze = 0.04;
Dynamic[ListPlot[data, Frame -> True, AspectRatio -> 1, 
  PlotStyle -> Blue, PlotRange -> {{-1.6, 1.6}, {-1.6, 1.6}}, 
  Epilog -> Circle[{0, 0}]]]
ContourPlot[f[x, y, freeze] == 1, {x, -1.5, 1.5}, {y, -1.5, 1.5}, 
  EvaluationMonitor :> AppendTo[data, {x, y}]];

Initially I just wanted to get all the points from ContourPlot, but then it dawned on me that using Dynamic I could do that in real time! I hope you like it :D


PS Change the parameter freeze (set to 0.04 secs) to make the animation slower or faster.
PPS This is so cool, I just knew I had to share it!

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