Solution to Curious Colonies

We wanted to find a way to position the colonies so that they all have the same area. It’s very interesting and fun to make cool pictures, models, and simulations of bacterial colony growth. But even just theorizing will do for this problem. The slowest colony, the Dotty bacteria colony, only grows at 1 centimetre a minute, but must still occupy 20% of the area. If the Dotty colony is with only the Linear bacteria, and opposite them, it will still fall short of 20%. Thus it is clearly impossible. You must tell Joana that the colonies cannot all start at the border and occupy equal areas. She must choose one.

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