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Gnomon Dimensions

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2


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?