13 May 2011

18. Square 1X1: Add 4 to create 4 Triangles and 2 Squares

Easy Medium Hard Extreme


Add 4 matchsticks to create a mininum of 4 triangles and exactly 2 squares. The squares don't have to be equal in size, but the triangles must be. All the matchsticks don't have to be flat on the surface.

7 comments:

  1. it's also possible to add a same size square which is 90 degree rotated from the original square and place the new square onto the old one.

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    Replies
    1. Thanks, your solution has been included.

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  2. It's impossible, if all sticks have same length.
    When Inner sticks are shorter than outer, can make this shape.

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  3. I came up with the same solution Kimi Lui did. You get equilateral triangles and squares that way. It definitely works with tooth pics, not sure about matchsticks, didn't have any.

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    Replies
    1. Answer now include both solutions. Thanks.

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  4. Sorry Dawie ... you specified 4 triangles, and I just noticed the solution Kimi and I came up with technically creates 8 triangles.

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  5. I changed the question to a MINIMUM of 4 triangles. Everybody should be happy now!

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