Move Two Matches

Move 2 Matches

This puzzle was in a homework assignment I gave to my students.

Puzzle. In the given configuration of matches, move two matches to form three squares.

I assume that the intended solution is the one below. Its appeal is that it has three squares of the same size and no dangling matches.

Solution 1

As usual, my students were inventive and suggested many alternative solutions.

  • The first picture shows a solution with three squares of different sizes: two small ones and one twice as big.
  • The next solution has two big squares and one smaller one.
  • The following picture shows three squares of different sizes.
  • Since the problem doesn’t forbid forming more than three squares, there are, of course, many solutions with more than three squares. The last picture has six squares.
Solution 2
Solution 3
Solution 4
Solution 5

A Facebook Challenge

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2 Comments

  1. Hari:

    Apologies for asking, but what is the initial configuration again? It seems to have only 9 matches in the image shown

  2. tanyakh:

    Hari,

    The initial configuration is at the top and has 9 matches.

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