Geometric construction of self-similar patterns

Fun with Fractals

Article from Issue 147/2013
Author(s):

Gnofract 4D is a different kind of graphics program that conjures up stunning graphics videos based on fractal mathematics.

Self-similarity is found in mathematics, nature, and systems, such as stock markets, network traffic, and stress fractures.

The whole of a self-similar object is similar to a part of its internal structures. Imagine, for example, our earth, which is known to be more or less round. If you were to descend to the surface from a satellite view and see that the continents, mountains, cities, and houses were all spheres, the earth would be reflected in smaller, self-similar objects. Of course, this is not the case, so you need to consider other objects on our home planet.

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