Final Project !!!

Mad Tea Party

"Then you should say what you mean," the March Hare went on.
"I do, " Alice hastily replied; "at least I mean what I say, that's the same thing, you know."
"Not the same thing a bit!" said the Hatter. "Why, you might just as well say that "I see what I eat" is the same thing as "I eat what I see!"

-Alice in Wonderland

As you know, the final assignment is to create and 'solve' your own project.  The project is to be modeled on the projects that you have seen in this course.  Some of these projects will be included in subsequent versions of this course (with your permission).  The project should include:
  1. A clear statement of an interesting problem.
  2. Several questions/suggestions that lead students to a solution.  Here you may ask a standard math question, direct the reader to prove some result or require the reader to try a series of examples and ask them to arrive at their own conjecture to prove.
  3. A full write-up/solution to your problem in the same format as all of the other assignments in this course.
  4. A 'whimsical' or 'witty' math quote.
  5. An interesting, silly, or stupid math related image.

Remember, the problem must be original (not something that you found online ... and I will check), it must be interesting (at least to you), and it must be at an appropriate level.  Feel free to talk to me about your ideas before you start to write them up.