Initializing live version
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
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 (March 2011)
Open content licensed under CC BY-NC-SA
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.