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Math Help - Challenge #1

  1. #1
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    Challenge #1

    The following figure is composed of 17 matches to form 6 squares geometrically similar to each other:



    Remove only 3 matches in order to get only 4 squares geometrically similar to each other.


    * Adapted from the book Distractions mathématiques (Montréal - 1977).

    In Desafio #1 - Challenge #1 - Desafios Matemáticos! - O site da Matemática

    More in Desafios Matemáticos! - O site da Matemática (some articles are in English, others you can use Google Translate include in the site)
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  2. #2
    Senior Member pankaj's Avatar
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    If you remove the three horizontal sticks in the middle you do get four squares
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  3. #3
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    Hello, Prof Paulo!

    I don't trust the wording of this problem.
    Besides, the solution is too simple.


    The following figure is composed of 17 matches to form 6 squares geometrically similar to each other.
    Redundant . . . all squares are geometrically similar.

    Code:
           ----- ----- -----
          |     |     |     |
          |     |     |     |
           ----- ----- -----
          |     |     |     |
          |     |     |     |
           ----- ----- -----
    There are eight squares which are geometrically similar:
    . . six 1-by-1 squares,
    . . two 2-by-2 squares.



    Remove only 3 matches in order to get only 4 squares geometrically similar to each other.
    Solution:

    Code:
           -----       -----
          |     |     |     |
          |     |     |     |
           -----       -----
          |     |     |     |
          |     |     |     |
           -----       -----

    Perhaps the author meant congruent squares?

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  4. #4
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    It's correct pankaj e Soroban!

    Soroban: the traduction was made for me...

    I already change that on my website.
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  5. #5
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    Remove top middle match and bottom 2 matches on right.
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