Two weather systems started in the same place, however, will develop different paths and strengths. Similarities in chaos theory and traditional mathematics are numerous. Figure 1 Figure 2 Chaos theory is being applied to many real world situations in nature, at work, in financial markets, and in computer technology. The difficulty of creating a workable model is in the form of a paradox. Chaos theory is utilized in computer systems for creating virtual worlds.
Fractals are helpful in creating realistic clouds, rocks, and shadows.
During the Mississippi River flooding, all calculations of the crest of the river were wrong. Mandelbrot justifiably questioned the accepted length of Britain's coastline. The coastline length varied, dependant on which brand of encyclopedia was referenced. This statement was countered by two arguments. Mandelbrot's response to the first argument is not brief and is not included here.