As most people interested in mathematics know, iterations of rational functions of complex variable can be used to produce fractals such as the Mandelbrot set...(adsbygoogle = window.adsbygoogle || []).push({});

What about iterating functions whose domain is a noncommutative ring? A ring can be a vector space of any dimensionality (or can it?), so that might be a way to produce 3D, 4D, 5D, etc. fractal sets... Has anyone thought about this before?

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# Iterations of functions of noncommutative variables

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