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Building Gnomons

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

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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 16
Challenge 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?