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

LOGO Challenge - the Humble Square

Age 7 to 16 Challenge Level:

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

Forget about the colours - what is happening with the squares?
Can you write a procedure for a small square?
Four small squares?
A larger square?
Sets of four small squares in a larger square?

Look at how the pattern is built up - in that way you will know how to break the final pattern down into more manageable pieces.