I wonder what polygons can be drawn on dotty paper... Take a look at our images, draw some of your own, and see what you can discover...

Why can you only use three of the regular polygons to tile a wall?

The triangle is one of the simplest shapes there are. But this doesn't mean that it's not important!

Can you create a complete square before the computer? Play the interactive game and see if you can find a winning strategy.

If you wanted to draw squares on dotty paper, could you start with any two dots?

If you were given a diagonal of a square, do you think you could figure out where all four corners go?

Draw polygons on different sizes of dotty grid. What's the maximum number of sides you can create?

If you wanted to draw a rhombus on dotty paper, could you start with any two dots?

Can you draw some rhombuses that share a diagonal? There may be more than you are expecting...

Here are some resources to help you explore dotty grids, including some printable grids and an interactive environment.