|
Mathematics and Simple Origami
Take a piece of square paper. Pick a point on the paper and fold the corners of the square so that they just touch the point. We want to study the resulting
shape.
Getting Started
- How many sides will the resulting piece of paper have?
- What are the maximum number and minimum number of sides (as you
change the chosen point)?
Going Deeper
As you move the chosen point around, where do the
number of sides of the resulting folded paper change? Describe
where the number changes as clearly as possible.
What if you repeat the process? (That is, once the paper
is folded, choose another point (or even the same point)
and fold the corners in again.)
Communicated by A. Cuoco.
|
