Created
September 10, 2010 04:47
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| Module[{cosineEscapeTime = | |
| Compile[{{c, _Complex}}, | |
| Block[{z = c, n = 2, escapeRadius = 10 \[Pi], | |
| maxIterations = 100}, | |
| While[And[Abs[z] <= escapeRadius, n < maxIterations], | |
| z = Cos[z] + c; n++]; n]]}, | |
| DensityPlot[ | |
| cosineEscapeTime[x + I y], {x, -\[Pi], \[Pi]}, {y, -3, 3}, | |
| PlotPoints -> 250, AspectRatio -> 3/\[Pi], | |
| ImageSize -> 300 (11 + 3.429/12)/6, | |
| FrameTicks -> {{-\[Pi], 0, \[Pi]}, {-3, 0, 3}, None, None}, | |
| FrameTicksStyle -> | |
| Directive[FontFamily -> "Myriad Pro", FontSize -> 32], | |
| FrameStyle -> Directive[Thick], | |
| ColorFunction -> (GrayLevel[1 - #] &)]] | |
| Module[{cosineEscapeTime = | |
| Compile[{{c, _Complex}}, | |
| Block[{z = c, n = 2, escapeRadius = 10 \[Pi], | |
| maxIterations = 100}, | |
| While[And[Abs[z] <= escapeRadius, n < maxIterations], | |
| z = Cos[z] + c; n++]; n]]}, | |
| DensityPlot[ | |
| cosineEscapeTime[x + I y], {x, .6, .61}, {y, .97, .98 + 0.0026}, | |
| PlotPoints -> 250, AspectRatio -> (20 + 10/12)/(18 + 5.143/12), | |
| ImageSize -> 300 (18 + 5.143/12)/6, | |
| FrameTicks -> {{0, .6, .61}, {0, .97, .98}, None, None}, | |
| FrameTicksStyle -> | |
| Directive[FontFamily -> "Myriad Pro", FontSize -> 32], | |
| FrameStyle -> Directive[Thick], | |
| ColorFunction -> (GrayLevel[1 - #] &)]] |
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Mathematica code used to produce the graphics in a brief piece in the October 2010 issue of Points & Angles (the newsletter of the Metropolitan Mathematics Club of Chicago).