The Six Piece Burr as a Life-time Problem

What is a Six Piece Burr?


                           ______
                          /     /|
                 ______ _/____ / |
                /    -6/3    /|  /
               /______/_____/ | /|
               |     |     |  |/ |
        _______|     |     |  |__/________
       /       |  ___|__   |  |          /|
      /________| /     /|  | /__________/ |
     /         |/     / |__|/          /|5/
    /__________/     / /______________/2|/
    |         /     / |               | /
    |________/     / /|_______________|/
            /     / / /    | |/
           /     / / /|    | / 
          /____ / / /_|___ |/
          |     |/ /
          |__1__| /
          |  4  |/
          |_____|         

Six piece burr assembled. Piece 1 is the only piece with its number properly oriented. All are, however, shown in the right place, except 6, shown as -6. A 6 belongs at the other end of the piece. [Note: this doesn't agree with some of Dad's previous booklets, published in editions of one or two copies. We are investigating, and will have a line drawing, rather than ASCII-art for these figures. --Webmaster]

        ___________________________________________
       /         /  2  /  6  /  8  / 12  /        /|
      /         /_____/_____/_____/_____/        / |
     /         /  1  / 5   /  7  /  11 /        /  |
    /_________/____ /_____/_____/_____/________/   |
    |         |     |     |     |     |        |   |
    |         |     |     |     |     |        |   |
    |         |     |     |     |     |        |   |
    |         |_____|_____|_____|_____|        |   /
    |               |     |     |              |  /
    |               |  3  |   9 |              | /
    |_______________|_____|_____|______________|/ 
	

The name of a piece is found by assigning the binary values to the small cubes that remain when the piece is cut. Cube 1, if present, adds 1 to the name, cube 2 adds 2, cube 3 adds 4, cube 4 (underneath 6) adds 8, and so on, cube 12 adding 2048. The piece with the numerically smallest number possible is called 260, that is 4 plus 256, when only 3 and 9 are present. If no small cubes are removed, the piece is called 4096. If the number can be counted up in several ways, the smallest result is the name of the piece. The name may be stamped or written where the figure 1 is placed on the assembled puzzle.


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Created:1/3/99 7:15:23 PM
Modified:
By: William H. Meek
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