Gabriel's horn, artwork

Gabriel's horn, artwork

C017/0814 Rights Managed

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Caption: Gabriel's horn, computer artwork. This is a surface of revolution, a shape made by rotating an area bounded by a curve around an axis that lies on the same plane. Gabriel's horn is created by rotating the curve y=1/x (yellow) around the X axis. The figure is cut off for values lower than x=1. The rotation creates a trumpet-like shape that has a finite volume, but an infinite surface area. The shape can be seen tapering off into infinity as the curve continues to approach the X axis but never touches it.

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Keywords: area, artwork, axes, axis, calculus, curve, finite volume, form, function, gabriel's horn, gabriels horn, geometrical, geometry, horn, illustration, infinite surface area, math, mathematical, mathematics, pi, plane, plane curve, radius, rotate, rotation, shape, surface of revolution, torricelli, torricelli's trumpet, volume, x axis, y=1/x

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