A fractal is a repeating pattern. Fractals are infinitely complex shapes that are self-similar across different scales. ... Fractal patterns are extremely familiar, since nature is full of fractals. For instance: trees, rivers, coastlines, mountains, clouds, seashells, hurricanes, etc.

Fractal patterns offer one way to represent the rough complexity of the natural world. The are found in nature, art, music, architecture, thought patterns and many things in the universe.

Fractals appear in architecture for reasons other than mimicking Nature. ... To emphasize that fractal architecture arose naturally in different cultures and designs.

Fractals are considered geometric concept introducing the quantity fractal dimension or the concept of self‐similarity. However, in economics there are very few geometric objects, so, the concept of fractals in economics can be seen heavily in scaling and power law distributions.

Fractal city to describe the "metropolarities" and the restructured social mosaic of today's urban landscape or "postmetropolis". In his book, Postmetropolis: Critical Studies of Cities and Regions, he discusses how the contemporary American city has become far more complex than the familiar upper class vs. middle class or black vs. white models of society. It has become a fractal city of intensified inequalities and social polarization. The term "fractal" gives it the idea of a fractured shape.

Fractal designs can be found in clothing patterns from around the world. One that is most popular in our local culture is tie-dye patterns often found In t-shirts.

Our city is comprized of some of the top mathematical research institutes. They include the Mathematical Science Research Institute, Simons Institute for the Theory of Computing, and UC Mathematics Department.

Fractals are multicultural: African villages exhibit fractal structure, Ohlone native designs and basket weaves, Navaho natives weave linear fractal patterns into their blankets, the Ethiopic cross has a repeating fractal configuration, Arab architecture use repeating fractal arrangements, Japanese art, Hindu self-similar temples, and European architects use fractal structure to optimize form and function as seen in the construction of the Eiffel Tower.

Our city is home to the University of California, Lawrence National Laboratories and other world leading research institutions, all that can benefit from the incorporation of fractal geometry in the disciple of their work.