## Paper Dolls

Now all this has, as promised, a number of surprising connections. The
first is to those childhood favorites-- **paperdolls**! We need to explain
the rules:

Given a pattern, try to arrange the paper into a carefully designed wad,
cut a design through all the layers, and unfold to find a design with the
desired symmetry.

Click here to get some paperdoll masters.
Here are some more!

You can also use all kinds of stuff-- Escher prints, your own kali printouts,
the Frieze! sheet, or whatever!

CAUTION: As you cut, make your design lopsided, so you can tell you're
getting the right symmetry; also remember-- you have to cut all the way
through!

**Q10:** What is the method for producing each of
the desired symmetries? In particular, what form must you wad the paper
up into for each symmetry? Sketch the symmetry and sketch the wadding-method
needed for that symmetry.

Now you don't want to spoil the surprise, so wait until you're ready
to go on to

A *really* cool connection!

to outline

**Chaim Goodman-Strauss**
Dept. Mathematics
Univ. Arkansas
Fayetteville, AR 72701
*strauss@comp.uark.edu*
* 501-575-6332*