One of the most difficult things about business is trying to predict patterns of growth. Will a certain market continue to grow? Will a company be able to sustain its current level of success? These are tough questions to answer, but fractal analysis can provide some insights. Fractals are repeating patterns that can be found in both natural and man-made systems. By understanding how fractals work, businesses can better anticipate changes in the market and make decisions accordingly.

The term fractal was coined by Benoit Mandelbrot in 1975 and he defined it as “a rough or fragmented geometric shape that can be split into parts, each one of which is (at least approximately) a reduced-size copy of the whole.” Fractals are complex patterns that are repeated at different scales and they are found in nature all around us. Some examples of natural fractals include mountain ranges, lightning bolts, snowflakes, and DNA. Fractals also have applications in technology and man-made constructs, such as urban growth, computer graphics, digital imaging, and video game design.

Fractal patterns are better understood as an expanding or evolving symmetry. This means that they are constantly repeating and growing larger (or smaller). The key to understanding fractals is to realize that each part contains the same pattern as the whole. This self-similarity is what makes fractals so intriguing and unique. Businesses can also benefit from using fractals to solve problems related to growth, pricing, and risk management.

Plainly speaking, fractals enable you to extrapolate trends based on smaller versions of the same trend. This can help you to make better decisions about pricing, resource allocations, and problem-solving. In business, fractals can be used to model items such as profit margins and inventory levels. By using fractal mathematics in your decision-making processes, you can gain a greater understanding of how different variables interact with one another and what their overall impact will be on your business.