Christmas Tree

 

Solution

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One of the basic solutions is given in the illustration. When you move the entire bottom triangle of three matches to the new position as shown, the three initial triangles remain plus one additional, smaller, equilateral triangle appears.

Another creative solution (though it employs 5 triangles instead of required 4) to this puzzle was sent to us by Joćo Gratuliano (see the bottom illustration). Describing this "Christmas Tree 3D creative solution" the author of it writes:

Another great solution is to get 5 triangles, putting 3 matches over one triangle, making a pyramid of base 3...

Thank you, Joćo for this creative solution.

Last Updated: July 11, 2008  |  Posted: September 6, 2003
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