Until last week I only knew 2 good math jokes. But then I heard this one! Without further ado, I hereby inflict it upon you:
An engineer, a physicist and a mathematician are chatting over lunch when the engineer says, “I just don’t get problems in higher dimensions. I mean, stuff in 3 dimensions I can visualize quite easily, but how do you visualize something with more?”
The physicist shrugs and says “You just have to imagine integrating. For example, if you have an object in three dimensions and integrate it over time, you have added a fourth dimension, time. It’s like taking an object’s position and integrating it to get the object’s velocity. You can do it again with time, to get the object’s acceleration, or with another dimension; each integration changes the units appropriately.”
The engineer thinks for a minute and says, “That’s okay for a few dimensions, but what about some of the really wacky stuff like 17 dimensions?”
The mathematician looks up and says, “Oh, that’s really easy, actually. Just imagine an n-dimensional space and set n=17.”