Evolving the Mandelbrot Set to Imitate Figurative Art
نویسنده
چکیده
This chapter describes a technique for generating semi-abstract figurative imagery using variations on the Mandelbrot Set, evolved using a genetic algorithm. The Mandelbrot Set offers an infinite supply of complex fractal imagery, but its expressive ability is limited, as far as being a “material” for visual manipulation by artists. The technique described here achieves a unique and varied brand of imagery by manipulating the mathematical function that generates the Set in a way that might seem unsavory from the standpoint of complex analysis – but it is very rich in terms of visual possibilities. Inspired by the author’s earlier interest in creating animalistic and pseudo-figurative forms by tweaking the function, a technique was developed to evolve figurative forms using a digital image as the objective fitness function for a genetic algorithm. Experiments reveal that the function has limits in terms of its ability to generate forms that imitate specific detailed images. But this is actually a desired quality, as it lends an enigmatic quality to the resulting artworks. These limitations also elicit questions about the ability for parametrically-based imaging systems (like fractals) to produce representational art. The analogy to genetics and animal morphology is presented, and this is used as a framework to describe the behavior of the Set as it is tweaked, and pulled “out of the complex plane” (the canvas upon which the Set is normally painted). It provides a genetic vocabulary for describing, and thinking about, figurative art-making.
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Self Portraits with Mandelbrot Genetics
This paper is an artist statement describing a manipulation of the Mandelbrot Set equation as the basis for creating semi-figurative images, using a genetic algorithm. Modernist painting is referenced in terms of the play between representation and abstraction. The Platonic implications of the Mandelbrot Set are considered as a point of departure for manipulation of the complex function.
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