Fractal Tree Art Pillows
Description: In geometry, a fractal canopy, a type of fractal tree, is one of the easiest-to-create types of fractals. Each canopy is created by splitting a line segment into two smaller segments at the end (symmetric binary tree), and then splitting the two smaller segments as well, and so on, infinitely. Canopies are distinguished by the angle between concurrent adjacent segments and ratio between lengths of successive segments. A fractal canopy must have the following three properties: 1. The angle between any two neighboring line segments is the same throughout the fractal. 2. The ratio of lengths of any two consecutive line segments is constant. 3. Points all the way at the end of the smallest line segments are interconnected.
Description: The bifurcation diagram for the logistic map is one of the most intriguing fractals in all of non-linear dynamics. Produced from a simple quadratic iterative scheme, it contains within itself windows of chaos and infinite self-similarity. It also looks quite a bit like a tree! Thus I took some liberties and created this colorful logistic tree which holds the essence of the original diagram while branching out to meet its natural cohort. You'll want to choose a light colored shirt for this one.
