The Mathematics Behind the Artwork

Pieces in my current work show the ideas and construction behind what is called 'fractal geometry'. Fractal geometry is different to your everyday geometry in the sense that fractals have a self similar property to them. They are self similar at every level of magnification meaning if you focus into any small part of the fractal, it will look still look like the overall shape. Fractal geometry exists in nature. An example is a fern, where each frond of the fern is the same shape as the overall fern. However we can also generate and design abstract fractals. One way fractals can be constructed is by starting with basic shape, and then repeating a set of specific mathematical equations to it that might shrink, rotate, stretch, etc. the shape. These equations are repeated over and over again to create the fractal.

 

In these artworks, fractals in various stages of their construction, overlay flora and fauna from the natural world.

 

During my mathematical studies and research, I always thought the mathematical scribbles were quite beautiful in their own right. Feel free to explore some texts on fractal geometry, the writings of what exploring abstract mathematics looks like, and also the actual mathematics behind the shapes featured in some of these artworks. Whether the mathematics is or isn't understood, I invite you to observe it from the context of linking mathematical theory with the visual.

@2023 by Jahne Meyer

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