Bridges

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This paper illustrates a number of ways that recursion and replacement rules can be used to create aesthetically pleasing computer generated pictures. Starting with imitation of forms found in nature, we move to more abstract designs, first designs derived from the nature imitations, and finally a purely abstract example. 1. Introduction "In order to understand recursion, one must first understand recursion", from Wikipedia, the free encyclopedia Many of the forms and shapes found in nature exhibit some form of self-similarity; the larger form appears to contain smaller copies of itself at different scales. Examples abound in the plant world; we see it also in mountains, clouds, the branching structure of rivers and blood vessels, patterns on animal skins, etc. Nature imposes restrictions on growth rules, but that doesn�t mean that the artist needs to. First imitating the forms and shapes in nature, the artist finds herself changing a shape, a scale or a color to produce a more abstrac

Bridges Recursion in Nature, Mathematics and Art Anne M. Burns Department of Mathematics Long Island University C.W. Post Campus Brookville, NY 11548 aburns@liu.edu Abstract This paper illustrates a number of ways that recursion and replacement rules can be used to create aesthetically pleasing computer generated pictures. Starting with imitation of forms found in nature, we move to more abstract designs, first designs derived from the nature imitations, and finally a purely abstract example. 1. Introduction "In order to understand recursion, one must first understand recursion", from Wikipedi

Bridges

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