File:RandomPoints.gif

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RandomPoints.gif(400 × 400 pixels, file size: 1.23 MB, MIME type: image/gif, looped, 100 frames, 2 min 0 s)

Summary[edit]

Description
English: Randomly generated points plotted in a unit square illustrate the "Clustering Illusion."

This Mathematical image was created with Mathematica.

Source Code:
tinyColor[color_, point_] := {PointSize[Small], color, Point[point]}
colorChoose[point_] := tinyColor[Blue, point]

Clear[r, n];
r = 100;
n = r^2;
darts = RandomReal[{0, 1}, {n, 2}];
coloredDarts = ParallelMap[colorChoose, darts];

Export[][][][darts, 1 ;; max], AspectRatio -> 1, 
   PlotStyle -> {PointSize[Small], Blue}, 
   PlotRange -> {{0, 1}, {0, 1}}, 
   PlotLabel -> TraditionalForm[max "Random Points"], Frame -> True, 
   ImageSize -> {400, 400}], {max, 100, Length[darts]/10}], 
 "DisplayDurations" -> ConstantArray[1, 9]~Join~{3}]
Date
Source Own work
Author CaitlinJo
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).

- Attribution 3.0

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution
This file is licensed under the Creative Commons Attribution 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).

File history

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Date/TimeThumbnailDimensionsUserComment
current02:53, 15 July 2013Thumbnail for version as of 02:53, 15 July 2013400 × 400 (1.23 MB)CaitlinJo (talk | contribs)Reverted to version as of 17:51, 14 July 2013
18:33, 14 July 2013Thumbnail for version as of 18:33, 14 July 2013400 × 400 (1.23 MB)CaitlinJo (talk | contribs)Changed the number of frames to 100 (formerly 800).
17:51, 14 July 2013Thumbnail for version as of 17:51, 14 July 2013400 × 400 (1.23 MB)CaitlinJo (talk | contribs)Reduced the number of frames to make the animation run more quickly.
17:05, 14 July 2013Thumbnail for version as of 17:05, 14 July 2013400 × 400 (5.25 MB)CaitlinJo (talk | contribs){{Information |Description ={{en|1=Randomly generated points plotted in a unit square illustrate the "Clustering Illusion." This Mathematical image was created with Mathematica. Source Code: tinyColor[color_, point_] := {PointSize[Small], color, ...
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