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There is this incredible glass figure on the front of my Calculus textbook, I searched online for what this figure is called and the formula for creating it, but I can't find it. I think it is a variation of the Klein Bottle.

Here is the image:

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2 Answers

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It looks like an umbilic torus:

^{From Wikipedia.}

Zev Chonoles pointed out another cover with the equation for the umbilic torus:

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It seems to me to be a thickened (and rather heavily stylized) Möbius strip, i.e., a torus with square cross section that is given a one-half twist.

I made this image just now using the code from my math.SE question, Drawing a thickened Möbius strip in Mathematica

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