Complex aesthetic forms that solve mathematical and cognitive problems

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Philip Van Loocke: Complex aesthetic forms that solve mathematical and cognitive problems. In: Generative Art 1999.

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Abstract

A cellular method is proposed as an alternative for a connectionist approach. The present method does not use connections between cells, but introduces a field concept instead. If the fields are determined in accordance with the transformations familiar from fractal theory, then the solutions of problems that have some symmetry are forms of remarkable beauty. This way, a link is proposed between generative art and problem solving. It is conjectured that the ‘black box’ nature of connectionist systems can be replaced by an approach in which the solution of a problem coincides with a vivid visualization, also if the problems at hand are of a high-dimensional nature.

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Used References

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Van Loocke, Ph. (1999a), Consciousness and the binding problem: a cellular automaton perspective, submitted

Van Loocke, Ph. (1999b), Variations of phase fields in cellular automata and aesthetic solutions for cognitive problems, in Dubois, D. (ed.), Proceedings of the 3-th congress on computing anticipatory systems, New York, American Institute of Physics Press, to appear

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