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FIGURE it out ! (Posted on 2004-09-10) Difficulty: 4 of 5
  1. With an unlimited supply of toothpicks of n different colors, how many different triangles can be formed on a flat surface, using three toothpicks for the sides of each triangle?
    (Reflections are considered different, but rotations are not.)

  2. How many different squares?

No Solution Yet Submitted by SilverKnight    
Rating: 3.3333 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: solution | Comment 11 of 12 |
(In reply to solution by Charlie)

Charlie, from yours and other posters' supplied solutions it seems the interpretation was that a triangle was made up of three toothpicks.  Yet, as SilverKnight added the parenthetical comment -- (Reflections are considered different, but rotations are not.) -- I suspect he meant that EACH side of the triangle was made up of THREE toothpicks.

I have not yet found a solution, but I offer you and all other Perplexians a chance to re-address this.  


  Posted by Dej Mar on 2008-03-04 10:41:43
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