### Building Gnomons

Build gnomons that are related to the Fibonacci sequence and try to explain why this is possible.

### What Is the Question?

These pictures and answers leave the viewer with the problem "What is the Question". Can you give the question and how the answer follows?

### Factorising with Multilink

Can you find out what is special about the dimensions of rectangles you can make with squares, sticks and units?

# Gnomon Dimensions

##### Age 14 to 16Challenge Level

Here are the perimeters of $G_6$.

Here are the perimeters of $G_6$ rewritten in terms of their Fibonacci numbers ($F_1 = 1, F_2 = 1, F_3 = 2, F_4 =3$ and so on).

Could you draw diagrams showing in general how two gnomons fit together to make a third gnomon?