Bicolor square
In a square of side length , Eddy paints some of the points black in the following way:
- He starts out with the square entirely white.
- If he finds 2 points that are 20 units apart which have the same color, he will change the color of one of them to the the other color.
- He continues until there are no 2 points that are 20 units apart which have the same color.
How many black points will there be?
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