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noncommutative space quiz

Creating (or taking) an image and explaining how it depicts your mental picture of a noncommutative space is one thing. Ideally, the image should be strong enough so that other people familiar with it might have a reasonable guess what you attempt to depict.

But, is there already enough concordance in our views of noncommutative spaces? I doubt it, whence this experiment.
Below my attempt ((the image is taken from Cran’s fractal art )) to depict one of the most popular noncommutative spaces around :



Can you guess what space this is? How does it agree with (resp. differ from) your own mental image of it?

Further, if you know of links to other depictions of noncommutative spaces, please leave a comment, or, send me an email.

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