Roland Dürre
Saturday April 22nd, 2017

Solution to Problem 2

On April, 12th, I published a second Logelei in the IF

The question was:
Can you position 31 domino stones (each of which is as big as two tiles) in a square area that consists of 64 square tiles such that two opposing corners remain free?

The task is easy as soon as we (mentally) colour the area that consists of 64 tiles like a chess board (Auszeit).
Then we know that one domino stone – as big as two fields (tiles) – will always cover a black field and a white field.

But we will also instantly see that the two opposing fields have identical colours.

So what does this tell us?
If you try to solve this problem by trial and error, you quickly run the danger of making a mistake. However, if you use a simple construct to help you (such as colouring the field like a chess board), the solution will immediately be clear.

You only have to have the right idea!

(Translated by EG)

I am taking time out (Auszeit). This article has been written in advance and will be automatically published (two weeks after the problem was formulated).

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