Gabriel's Horn Maths Poster

by Russell Kightley

Title

Gabriel's Horn Maths Poster

Artist

Russell Kightley

Medium

Digital Art

Description

Gabriel's Horn (also called Torricelli's trumpet) is a geometric figure which has infinite surface area but encloses a finite volume. The name refers to the tradition identifying the Archangel Gabriel as the angel who blows the horn to announce Judgment Day, associating the divine, or infinite, with the finite. The properties of this figure were first studied by Italian physicist and mathematician Evangelista Torricelli.

Gabriel's Horn is a solid created by rotating the curve y=1/x around the x axis. The figure is cut off for values lower than x=1. This creates a trumpet-like object (a solid of revolution - arrows in green show the rotation of the curve). The volume is finite, but the surface area is infinite. The solid can be seen tapering off into infinity as the curve (yellow) continues to approach asymptotically the x axis but never touches it. A trumpet-like object with a finite volume and infinite surface area.

Uploaded

August 19th, 2013

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