Torricelli’s trumpet encloses a finite volume but has an infinite area. It is formed by taking the graph of y=1/x, with the domain x≥1 (thus avoiding the asymptote at *x* = 0) and rotating it in three dimensions around the x-axis. It is also called Gabriel’s Horn; the name refers to Archangel Gabriel as he blows the horn to announce Judgement Day, thereby associating the infinite with the divine.

(Source: geometric-aesthetic)

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