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Inverting Triangles (Posted on 2005-08-15) Difficulty: 1 of 5
A piece of paper had the following diagram:
               o              o o o o
      From:   o o         To:  o o o
             o o o              o o
            o o o o              o
Below it, it read "Given the initial formation of ten coins, move exactly # coins to produce the end formation." It was pretty obvious that # stood for a digit, but it was smudged and couldn't be read. What possible numbers could it have been so the problem was solvable?

To allow explaining the solution, number the coins like this:

           0 
          1 2
         3 4 5
        6 7 8 9
Note: This problem was inspired by a forum question by Nicole.

No Solution Yet Submitted by Erik O.    
Rating: 2.1667 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): 7 ways - your rules | Comment 7 of 14 |
(In reply to re: 7 ways - your rules by brianjn)

Good point. Can we start rolling coins, say starting with 6, to form the "to" shape off of the 9? In this case, the 6 would end to the right of 9 and would be the left most corner of the "to" shape. We should peel the coins off and on to avoid the trapped coin/space issue, and finish with the 9 rolling to the last new spot. How does this sound?

  Posted by owl on 2005-08-15 15:23:34

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