Fractals as Ideal Complexity.

Fractals and Complexity

Plant microtubule cytoskeleton complexity: microtubule arrays as fractals.

Biological systems are by nature complex and this complexity has been shown to be important in maintaining homeostasis. The plant microtubule cytoskeleton is a highly complex system, with contributing factors through interactions with microtubule-associated proteins (MAPs), expression of multiple tubulin isoforms, and post-translational modification of tubulin and MAPs. Some of this complexity ...

Fractals in complexity and geometry

Fractals, Multifractals and the Science of complexity

Describing natural objects by geometry is as old as science itself, traditionally this has involved the use of Euclidean lines, rectangles, cuboids, spheres, and so on. But, nature is not restricted to Euclidean shapes. More than twenty years ago Benoit B. Mandelbrot observed that “Clouds are not spheres, mountains are not cones, coastlines are not circles, bark is not smooth, nor does lightnin...

The Visual Complexity of Pollock's Dripped Fractals

Fractals have experienced considerable success in quantifying the complex structure exhibited by many natural patterns and have captured the imagination of scientists and artists alike [Mandelbrot]. With ever widening appeal, they have been referred to both as "fingerprints of nature" [Taylor et al 1999] and "the new aesthetics" [Richards]. Recently, we showed that the drip patterns of the Amer...