Wolfram Demonstrations Project

Gabriel's Horn is obtained by rotating the curve

around the

axis for

. Remarkably, the resulting surface of revolution has a finite volume and an infinite surface area. It is interesting to note that as the horn extends to

, the volume of the horn approaches

Contributed by: John Snyder

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Snapshot 1: The equation

for

is used to generate the surface.

Snapshot 2: The surface is generated by rotation around the

axis.

Snapshot 3: Gabriel's Horn is formed by a complete rotation around the

axis.

Gabriel's Horn (Wolfram MathWorld)

"Gabriel's Horn" from the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/GabrielsHorn/

Contributed by: John Snyder

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Gabriel's Horn

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