In maths, Gabriel's horn refers to the particular geometric figure that has infinite surface area but finite volume, and occurs from the rotation of 1/x around the x axis.
I was planning on doing a HS mathematics project on said shape since the paradox aroused my interest, but its exploration is considered too elementary for school standards. So apart from exploring and proving the "paradox" and generalizing it for 1/x^p where p belongs in the interval (1/2 , 1], what else could i do to raise the complexity of the project. Any other similar shapes or aspects of the aforementioned one i could explore?
Thanks in advance
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from math https://ift.tt/3eEjpBD https://ift.tt/eA8V8J
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