• Diana de Avila

Fractals and “Self-Similarity” – Fractal Geometry at Work

Updated: Jun 10

A while before I knew anything about Fractals, I was creating artwork using fractal geometry concepts – most specifically “self-similarity” (In mathematics, a selfsimilar object is exactly or approximately similar to a part of itself (i.e. the whole has the same shape as one or more of the parts). Many objects in the real world, such as coastlines, are statistically selfsimilar: parts of them show the same statistical properties at many scales.)

It’s amazing how the gifts of sudden acquired savantism happens and expresses itself in very narrow fields and very consistently – art, math, music – all leveraging orderly approaches to doing. My art is actually very math based … and that makes a lot of sense. Since it feels other-worldly to me, and fractals are like a depiction of the cosmos (Benoit Mandelbrot the Mathematician and IBM Fellow – and father of fractals) said that fractals were the “geometry of the cosmos”. It seems my work takes a cosmic approach a lot of the time.

Below are some of my works that demonstrate the fractal geometry core concept of “self-similarity”. I was creating them long before I had software to help me visualize and create them. Since my art journey has encompassed a lot of art crammed into only a few years time, I feel like I’ve been learning and creating for much longer!


©2020 by Diana de Avila. 

Contact Diana at diana@dianadeavila.com