Gabriel's Horn is the surface formed by rotating the graph of [math]f(x) = \frac{1}{x}[/math] for [math]x≥1[/math] around the x-axis.[br]The resulting surface has a finite volume, yet an infinite surface area, leading to the "panter's paradox": that a paint can in the shape[br]of Gabriel's Horn full of paint would not contain enough paint to paint the inside of the can!