Coloring chessboard

For students of class 6-8 (age 12 to 14)
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Thamim Zahin
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Coloring chessboard

Unread post by Thamim Zahin » Thu Jan 12, 2017 9:27 pm

Assume on an $8 \times 8$ chessboard with the usual coloring. You may repaint all squares:

(a) of a row or colum.
(b) of a $2\times 2$ square

The goal is to attain just one black square. Can you reach the goal?
I think we judge talent wrong. What do we see as talent? I think I have made the same mistake myself. We judge talent by the trophies on their showcases, the flamboyance the supremacy. We don't see things like determination, courage, discipline, temperament.

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ahmedittihad
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Re: Coloring chessboard

Unread post by ahmedittihad » Thu Jan 12, 2017 9:48 pm

The number of black cells $mod 2$ stays invarient. Whih is at the start an even number. So, the desired state is impossible to reach.
Frankly, my dear, I don't give a damn.

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