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2000 frames, each showing 200 new steps or iterations (represented by red dots), as the random walk progresses over time. Sometimes we seem to get stuck locally, sometimes we are dramatically progressing at high speed. Older frames still stay on the video, but are shown in gray rather than red. The darkest areas are the oldest ones, visited at the beginning. This type of processes, as seen in this video, generates interesting patterns. A total of 400,000 points (in various colors) are generated during this 90-second video.

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Comment by Vincent Granville on October 11, 2014 at 7:35pm

For Youtube version, click here. To learn how the video was produced or produce your own versions, click here. To access the main article regarding this project, click here.

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