Re: Cool example with ContourPlot+EvaluationMonitor

*To*: mathgroup at smc.vnet.net*Subject*: [mg125545] Re: Cool example with ContourPlot+EvaluationMonitor*From*: Murta <rodrigomurtax at gmail.com>*Date*: Sun, 18 Mar 2012 02:43:54 -0500 (EST)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <jk1fpb$4v0$1@smc.vnet.net>

Nice!.. I played with the code and made it shorter. It's the same thing. Dynamic[ ListPlot[data, Frame -> True, AspectRatio -> 1, PlotStyle -> Blue, PlotRange -> {{-1.6, 1.6}, {-1.6, 1.6}}, Epilog -> Circle[{0, 0}]]] data = {}; freeze = 0.01 ContourPlot[x^2 + y^2 == 1, {x, -1.5, 1.5}, {y, -1.5, 1.5}, EvaluationMonitor :> (AppendTo[data, {x, y}]; Pause[freeze])] []'s Murta On Mar 17, 4:51 am, psycho_dad <s.nesse... at gmail.com> wrote: > 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 > > Cheers > > 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!