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7+1

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

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  1. 7 1

  2. 7 7 7 7 1

  3. } 7 7+1 1

  4. 7 8 1

  5. 15 7 8 1 9

  6. 15 7 8 1 10 9

  7. 15 7 8 4 1 10 9

  8. 15 18 7 8 14 4 1 10 9

  9. http://www.squaring.net/history_theory/brooks_smith_stone_tutte_II.htmlhttp://www.squaring.net/history_theory/brooks_smith_stone_tutte_II.html

  10. 7 1 A rectangle built from 9 squares

  11. 3 1 1 A rectangle built from 9 squares

  12. 43 34 A rectangle or square built from 11 squares.

  13. 7 8 6 2 3 4 A rectangle or square built from 22 squares.

  14. 9 14 35 33 A rectangle or square built from 24 squares.

  15. 35 19 29 37 A square built of the fewest different squares.

  16. 15 24 9 7 6 1 4

  17. 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

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