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Klein’s Quartic Surface

Klein’s Quartic Surface turning itself inside out.  This surface can be constructed from the equation u^3*v + v^3*w + w^3*u = 0.

Animated by Greg Egan.

edit: I’m glad this is getting some reblogs, but I cringe every time I see the error “Quartet Surface” replicated!  I wasn’t able to fix that typo before it started spreading.  If you care about this kind of thing and reblogged the mistake, help out and fix it!  Only takes a quick second. :)