The constant number pi has an infinite number of decimal places with no recognizable system within the sequence. However, the distribution of the 10 possible digits is quite uniformly balanced, at least within the displayed range from 1 to 1,000,000 positions after the comma. Each digit is represented by a direction from 0° to 360°. For example, each time the 0 arises, a line with a certain fixed length is displayed with the value of 0°. The end of each line is at the same time the start of the line for the following digit; the length of each line remaining constant. The result of the lines is a path; the so-called random walk.
The colored areas represent the distribution of the decimal of pi. These always start with 0, but with each succeeding step the values are increased by 10,000. These areas are laid around the most extreme points of the random walk. It can be observe that the lager the displayed range becomes the more round the areas are.
From Daniel A Becker’s web site
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