# Mathematical name for the horn shape

I am looking for the technical name for the horn shape which is created by repeating circles while increasing the radius size varying with an exponential function. Any references that can help me find the name, and all related terminology would be great. Thanks.

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The horn you describe seems to be a particular example of a surface of revolution. But I don't know if this particular example has a special name attached to it. There's a very famous horn though, called Gabriel's horn. –  Adrián Barquero Oct 4 '12 at 14:24
Try googling horn angle and Lebesgue spine. –  Dave L. Renfro Jan 31 '13 at 22:57

In your case, you want the result of revolving an exponential curve about some line that passes outside the curve. For example, you might revolve the curve defined by $y=e^x$ around the line $y=0$ to get a horn shape; the horn has a circular cross-section, and the diameter of the cross-section at $x=x_0$ is $e^{x_0}$.