50000 Rectangles #14

756.jpg

60000 rectangles.

Today
Later on I will describe how Iterated Function Systems and Contraction Mappings generate bounded fixed sets that are used for most of the images in the series. The previous images are zooms that show only parts of those sets. Today the view is zoomed out and full bounded set is seen.

Ongoing Story
Yesterday, 50000 Rectangles #13, I mentioned the random/not random border. Order and chaos. Even though the idea seems obvious, it got me thinking. Indulge me as I go down the rabbit hole and off on a tangent at the same time.

Randomness is generally equated with uniform probability distribution. Every event is equally likely. Each side of a die has 1/6 probability of being rolled. The odds of drawing the ace of spades is 1 out of 52, the same as the odds for the 3 of hearts. Here is a link on Probability Distribution, but I do not think you need to go there.

There are other types of randomness. Statistics is all about dealing with randomness. While the uniform distribution plays a role, its popularity is far behind the Normal Distribution, the bell shaped curve.

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.