Fractal Tree Art Mugs

a fractal tree created from a fractal landscape using a mandelbrot set! I just thought it was a pretty tree! you'll find a few more in my store too.

Most things are actually larger on the inside than the outside. Change my mind OR buy some art - with a reminder that things like lions are actually bigger on the inside than the outside.

Three Sierpinski triangles combine with 3 Sierpinski carpet fractals to make this tree design. Show off you math geekiness or love of quilts and quilt making with this design. See my other fractal designs.

A view from the balcony, or a view of the floor. Fractals in nature

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.

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.

Created with Apophysis fractal software. Now, wouldn't this look fab as a framed print handing on *your* wall? :-)) !http://ih2.redbubble.net/work.3040146.2.lp,375x360,b,l,VHJlZSBvZiBMaWZl.jpg! !http://images-1.redbubble.net/img/art/framecolor:black/framestyle:flat30/mattecolor:off%20white/product:framed-print/size:small/view:preview/3040146-2-tree-of-life.jpg!

Abstract geometric design in teals and purples with sun shining through.