RAY: This puzzler is from the matchstick series. Imagine, if you will, that you have four matchsticks of equal length. From those, you can easily make a square.

At each of the vertices, there is a right angle, or a ninety-degree angle, so there are four right angles.

TOM: I'm with you!

RAY: Now, using those same four matchsticks, make not 4 but 16 ninety-degree angles.

You might say, "Can I use the third dimension?" You can use any dimension you want.

I should mention, you are not allowed to fold, bend, break staple, or mutilate the matches in any other way.

TOM: Can you use mirrors?

*Leave your response here! Please!
RAY: No, but that shows you're on the right track.