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Is there a way to take a random value (or set of values), and cause them to create a "pretty" pattern (as a thumbprint), and that array of thumbprints might have a rendering mask on just for aesthetic purposes.

Since I don't know much about all that can be done in Photoshop and Illustrator, I hope someone can help clarify my terminology such as "Random numbers (in the range of X/by way of formula Y) are best expressed in {Hue, Saturation, CMYK, RGB, chemically, theoretically}" ... etc

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It depends on how you define “pretty”, but there’s plenty of possibilities. Assembling a grid of shapes as in Identicons would be one example; using the numbers for coordinates and zoom levels on a fractal like the Julia set would be another. Our eyes aren’t good at measuring absolute values of anything—perception is heavily dependent on context and lighting, cf. the dress—so you probably shouldn’t rely on color alone as the identifying factor.

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