A mathematical proof

Class, today we’re going to determine how much glass is in a bud vase. First, we will take this very nice bud vase, decorated with painted ladybugs. Now use differential equations to solve for the amount of glass. Please calculate the volume of glass, and then resolve to the area assuming uniform thickness of glass but random spatial distribution on a plane..

Good. Now, to check your answers, I’m going to knock the bud vase to the floor.

Anyone who said the amount of glass on the floor would be “infinite,” please give yourselves 100 pts. Everyone else will have to stay after class and help me clean up.