What is a Fractal?

Fractals explained

A fractal is a shape, like a snowflake or the coastline of an island, that looks the same at different scales. Fractals are often used to make computer and mathematical designs look more interesting. They are most common in art as shapes that repeat themselves in some way over and over again inside larger patterns. These patterns can be found everywhere from coral reefs to coastlines around the world. What’s more, fractals can be used to create models that help scientists understand how the world works.

Fractal flames are not your average fractals. They’re a special type of fractal created by Scott Draves in 1992, and they have some unique features that set them apart from the rest. First, nonlinear functions are iterated along with the standard affine transforms used in most fractals. Second, the iterations create an incredibly intricate geometric pattern that is constantly changing. Finally, flame fractals are one of only a few types of fractals that can be self-similar at every scale. If you’re curious about what all the fuss is about with fractals, then you need to check out Fractal Flames!

Looking at fractals from a different perspective, it becomes evident that they are seemingly endless varieties of shapes and patterns. While fractals may appear simple on a smaller level, when viewed on a larger scale they reveal an almost infinite variety of detail and beauty. From coral reefs to coastlines all around the world, fractals are some of the most pervasive and widespread patterns in existence!

JWildfire which is flame fractal software will give you the best introduction to this wonderful journey into the beauty of fractal art. – JWildfire is software that allows you to create fractals with stunning realism. The program comes with a library of pre-made scripts, or you can create your own. You can also customize the colors and shapes of the fractals, making them as unique as you want.

Rick Sidwell has a deep understanding of fractals, and he shares that knowledge in the video below. He explains the mathematics behind these mesmerizing shapes, and how they can be used to create stunning visuals. Whether you’re a graphics designer looking for new inspiration or just curious about fractals yourself, this video is a must-watch.

You can find resources for this video, including parameters for the fractals shown, at https://github.com/sidwellr/VideoResources/blob/master/What_is_a_Fractal/README.md.

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