Chaos describes the way most of us see nature. It could be the shape of clouds, the profiles of mountain ranges, or the delicate patterns of crystalline snowflakes. Long ago, mathematicians had given up describing these because they seemed to possess no order. Then along came Benoit Mandelbrot. An immigrant mathematician working for IBM, he had long been obsessed with patterns of disorganization. Problems with computer communication at IBM mirrored the patterns he saw elsewhere. He set out to bring order to chaos. |

Notch This is the notch area between the two half’s of the bug. Once again, note how the frill is repeated in ever decreasing size. Yet the general shape is similar. |

Dragon In yet greater detail, this is from the left side of the notch. Patterns continue to repeat and morph into similar shapes. (-.8025,.1725j),.025 |

Bug Yellow Far down one of the dragon's tendrils lies this bug in a patch of yellow. (-.647734375,.479078125j),.000469 |

Blue Burst Yet farther down the tendril is this bug shaped object. (-.647605285,.47911534j),.0000095 |

Black Witch This is an element on one of rays emanating from the Blue Burst. No matter how far in you go, similar shapes are found. (-.6476001475,.4791158594j), .000000375 |

Lace Doile Down one of the tendriles, this is nodule on a nodule. (+.1419059625, .6493743156), .0000003906 |