This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

This activity investigates how you might make squares and pentominoes from Polydron.

How many ways can you find of tiling the square patio, using square tiles of different sizes?

LOGO Challenge - the Humble Square

Let's begin by looking at the "humble" square. Below is the pattern reproduced after three stages of development :

Iterative picture

What would subsequent stages of development look like?

If instead of squares equilateral triangles or regular hexagons had been used?

What about this?

Iterative image