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IMSO 2006 — International Mathematics — Essay Question 13

IMSO Maths · IMSO 2006 — International Mathematics — Essay

Question 13

Three squares are to be connected in a certain way. Two squares are connected when there is an edge in each square that coincides fully or at exactly half of their lengths.

For example, see the figures below. We consider that Figure 1 and Figure 2 are different, while Figure 1 and Figure 3 are the same. Draw all the possible different figures.

Question illustration