Gabriel's horn, a shape with infinite surface area but finite volume, is one of the most counterintuitive objects in mathematics. However, it is pretty intuitive that we can build a Gabriel's horn in two dimensions. It seems like it is "harder" to construct a Gabriel's horn in a higher number of dimensions. Is it even possible in four dimensions? If it is, what is the smallest dimension for which it is impossible, or is it possible for any number of dimensions?
2026-03-28 22:26:33.1774736793
Is Gabriel's Horn possible in four dimensions?
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