In this interactivity, you can specify two positive integers (whole numbers) and the computer will draw a corresponding diagram.

Experiment with a few examples, and then consider the questions that follow.

- Given two positive integers, can you draw the corresponding diagram?
- Given a diagram, can you determine the corresponding pair of positive integers?

There are many questions that you might now ask yourself.

Investigate the questions that interest you. You might want to make some conjectures and then try to prove (justify) them or to disprove them by finding counterexamples.

Then you can look at our list of questions below.