(Right-click and view image to see full size.)
Edwin Abbott Abbott used the simple concept of dimensions to create Flatland (1884), a short story that explores several different worlds (particularly the titular two dimensional one) and how they relate to each other. Similarly, the simple concept of fractals is used to create amazing images that express math in an artistic way.
Fractals also provide another example of the combination of art and technology. Math alone is not enough to generate fractals; computers are necessary to create the images themselves, which can't be created by the human hand. Mandelbrot's access to computers in the late 70s and the 80s were critical to his discovering of fractals.
"Parade" by C-91. http://c-91.deviantart.com/art/Parade-325037384 for the full size.
In this work, the artist used computers and fractals to achieve a level of detail not possible with traditional art mediums. As technology advances, new art techniques will become possible, ones that we might not even be able to imagine presently.
Finally, here is a song about the Mandelbrot set, by the great Jonathan Coulton. It is completely accurate, including the part about day-glo pterodactyls.
Sources
Abbott, Edwin A. Flatland: A Romance of Many Dimensions. Princeton: Princeton UP, 1991. Web. http://www.ibiblio.org/eldritch/eaa/FL.HTM
C-91. "Parade." DeviantArt. DeviantArt. Web. 10 Apr. 2016. http://c-91.deviantart.com/art/Parade-325037384
Foellmi. "Jonathan Coulton Mandelbrot Set HD." YouTube. YouTube, 2009. Web. 10 Apr. 2016.
"How To Trade The Fractal Indicator." Winners Edge Trading. Web. 10 Apr. 2016. http://winnersedgetrading.com/how-to-trade-the-fractal-indicator/
ImprobableResearch. "Improbable Research Collection #135: Benoit Mandelbrot's 24/7 Lecture on Fractals." YouTube. YouTube, 2013. Web. 10 Apr. 2016.
Weisstein, Eric W. "Mandelbrot Set." From
MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/MandelbrotSet.html
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