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7. 1. 7. 7. 7. 7. 1. }. 7. 7+1. 1. 7. 8. 1. 15. 7. 8. 1. 9. 15. 7. 8. 1. 10. 9. 15. 7. 8. 4. 1. 10. 9. 15. 18. 7. 8. 14. 4. 1. 10. 9. http://www.squaring.net/history_theory/brooks_smith_stone_tutte_II.html. 7. 1. A rectangle built from 9 squares. 3. 1.
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7 1
7 7 7 7 1
} 7 7+1 1
7 8 1
15 7 8 1 9
15 7 8 1 10 9
15 7 8 4 1 10 9
15 18 7 8 14 4 1 10 9
http://www.squaring.net/history_theory/brooks_smith_stone_tutte_II.htmlhttp://www.squaring.net/history_theory/brooks_smith_stone_tutte_II.html
7 1 A rectangle built from 9 squares
3 1 1 A rectangle built from 9 squares
43 34 A rectangle or square built from 11 squares.
7 8 6 2 3 4 A rectangle or square built from 22 squares.
9 14 35 33 A rectangle or square built from 24 squares.
35 19 29 37 A square built of the fewest different squares.
15 24 9 7 6 1 4
15 24 9 7 5 1 4 x I made a mistake posting this puzzle the first time. I wrongly put a 5 in this square! See that the two squares with an X will always have the same size! Thanks to Kaela Worrell’s daughter for finding this! I only half apologize for my mistakes. Finding impossible problems and proving that they are impossible is a very rich activity! In my own classes I purposely do it, but this, alas was an unintentional mistake. Ouch ;-) x