Gabriel’s Horn is a 3-dimensional graph shaped like an elongated trumpet. Its long end ext
Gabriel’s Horn is a 3-dimensional graph shaped like an elongated trumpet. Its long end extends out to infinity, but gets extremely thin: so thin, in fact, that the inside of the Horn has a finite volume – exactly Pi, to be precise. However, the outside surface area is infinitely large! This has bizarre implications: for instance, filling Gabriel’s Horn with paint does not coat the entire interior of the horn! (Image credit to James Lee Jobe, MathWorld.) -- source link
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