
The Fractal Books logo is a stylized image taken from the Mandelbrot Fractal, the most famous and most recognized fractal in the world. In 1975, it was used by Benoit Mandelbrot to introduce a new kind of shape. Before, the most common shapes were thought to be circles, squares and triangles. Mandelbrot realized that patterns that repeat on different scales were a previously unrecognized shape found almost everywhere.
Examples in nature include coastlines, snowflakes, clouds, waves, and how the pattern of the roots of a tree is repeated in its branches, repeated again in its leaves, repeated again in the veins of its leaves, and so on. The largest natural fractal is the pattern of an atom, a big ball being orbited by a smaller ball, repeated by Earth and the Moon, repeated by our Sun and the planets of our solar system, repeated by our galaxy, repeated by our universe – is a fractal. Thanks to Mandelbrot, we now know that fractals are the most common shape in the universe.
In algorithmic geometry, the values of the inputs that separate order from chaos produce the image of the Mandelbrot Fractal. In literature, three basic patterns of literary conflict are recognized: human vs. inner reality, human vs. another human, and human vs. the outside world. This repeating pattern of conflict on different scales is a fractal exemplified by Fractal Books.