This image may not be used in educational posters Gabriel's horn, computer artwork. This is a surface of revolution, a shape made by rotating an area

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This image may not be used in educational posters 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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Size: 4180px × 4180px
Photo credit: © RUSSELL KIGHTLEY/SCIENCE PHOTO LIBRARY / Alamy / Afripics
License: Licensed
Model Released: No

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