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Try to find patterns that allow you to predict colors that will appear in rows of dots. Each row is produced from the one above it, following simple rules.
All the frogs want to trade places with the toads, and vice versa – but they have to follow some rules. If you can solve it in 1 dimension, try it in 2!
Fold a long strip of paper in half several times. Can you see a pattern in the creases formed along the length of the paper? What sorts of route do we trace if we use the creases to direct our turns along a path?