Resources

This is a nice resource from Erich Friedman, a math professor at Stetson University:  it’s a list of distinctive characteristics of [most of] the numbers between 1 and 9999:

http://www2.stetson.edu/~efriedma/numbers.html

Now, maybe knowing that 215 is equivalent to 555 in base 6 isn’t that useful, but there are a lot of great ideas woven throughout this list of integers.  If you can fill in any of the gaps (do you know anything distinctive about 6821?), I’m sure Dr. Friedman would love to hear from you.

One of many witty, math-y cartoons from www.xkcd.com:

To create this, I think you’d need to draw panels both on the front and the back of a strip of paper, making sure that the end of one side can precede (or follow) the end on the other side in the story.  I imagine it would be best if the circular story had no beginning or end.