Solution to the mystery of the mutilated chessboard – The answer to the problem is no.
Solution to the mystery of the mutilated chessboard – To prove it we will still use the technique of reasoning for absurd. Suppose then that you can cover the board without overlapping even after removing two boxes at opposite corners. Now each tile is arranged and oriented (horizontally or vertically) always covers both a black box and a white box. In the hypothetical cover would be employed 62/2 = 31 cards and therefore there should be 31 black cells and 31 white cells. However, since the boxes removed are both black, the boxes to be covered are 32 white and 30 black and therefore we have an insurmountable contradiction.
Back to the Roots – Musci video (for Relax Time!)
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Lorenzo Pescini is an eclectic Florentine artist. He graduated in piano, writes music since he was a boy and has made several albums of instrumental compositions. His works, heard over 5 million times in over 180 countries around the world, have been performed by pianists and other instrumentalists, both Italian and foreign, and are frequently included in theatre programmes. Lorenzo also devoted himself to writing poems, reflections on life and logical-mathematical puzzles. He loves to immortalize moments of life through photographic shots. Founder of the site Pescini.com, Lorenzo is a convinced environmentalist.
“Beauty will save the world” is his favorite motto.
Come and discover the magical musical world of Lorenzo Pescini!
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