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Topic: Coloring of a surface of a cube

The daughter from the Olympic Games brought: There is a white cube with the side of 3 cells. Surface cells (54 pieces) can be painted over in black color but so that no two painted over cells adjoined on the side (including lying on different edges). What maximum number of cells can be painted over? The answer is quickly, and here to prove why it maximum - was necessary to break a head. Probably, someone from you finds more simple proof.

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Re: Coloring of a surface of a cube

Hello, Kodt, you wrote: K>> it is possible, someone from you finds more simple proof. I proved  still thought, whether is correct here  simply task on to think... And it appeared that it for programmers Only should be sorted out an etude hardly less 62 million variants and to receive 48 different decisions (without thinking about turns-reflections).

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Re: Coloring of a surface of a cube