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Recursionism means a variety of things to different people. It is the use of repeating patterns in modern art, as also self-similarity in rock art in the old world and on American Indian pottery. It also relates to fractal patterns, that are found in physical structures and in economics and engineering.
As philosophy it stands for the principle that repetition of structure across space, time, and scale provides the key to understanding reality; it explains how the brain can comprehend the world. Recursion leads to variety in form when the basic structures through evolution become increasingly complex. Recursionism is the reason why the same models work in a variety of fields, and also across scale. Recursionism is not identical to Structuralism since it encompasses not only the physical but also the temporal and the abstract.