I made a few maths jokes based on the 3 trivial regular polytopes:
1) Q. Why did the cube drink a load of coffee?
A. Because it wanted to be a "hyper-cube"!
2) Q. Why did the "measure polytope" marry a "cross polytope"
A. She was a jewel (dual) (this might not make sense to some people!)
3) person 1: what's the opposite of a simplex
person 2: a complex
person 2: no a simplex! It's self-dual
what do you think?
Why did the chicken cross the Mobius Band?
To get to the other ...um...!!!