(no subject)
Behold, Gabriel's Horn:
http://www.ethelthefrog.net/sa/GabrielsHornAnimation.gif
This is the figure generated if you take the graph of y=1/x, starting with 1, and rotate it around the x axis. Thanks to the screwiness of Calculus, while the length is infinite it has a finite volume of p units. However, it has infinite surface area. Therefore, you can fill it up with paint, but you can't coat the surface.
I think my brain just went into a loop.
http://www.ethelthefrog.net/sa/GabrielsHornAnimation.gif
This is the figure generated if you take the graph of y=1/x, starting with 1, and rotate it around the x axis. Thanks to the screwiness of Calculus, while the length is infinite it has a finite volume of p units. However, it has infinite surface area. Therefore, you can fill it up with paint, but you can't coat the surface.
I think my brain just went into a loop.