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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1903.0. "Crux Mathematicorum 1968" by RUSURE::EDP (Always mount a scratch monkey.) Wed Oct 05 1994 15:49

    Proposed by Richard Blecksmith and John Selfridge, Northern Illinois
    University, DeKalb.
    
    Show how to pack 16 squares of sides 1, 2, ..., 16 into a square of
    side 39 without overlapping.
T.RTitleUserPersonal
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1903.1RUSURE::EDPAlways mount a scratch monkey.Fri Aug 11 1995 17:2149
    Here's one of the published solutions, drawn as if character cells were
    square.
    
    +--------------+---------+-------------+
    |              |         |             |
    |              |         |             |                           
    |              |         |             |
    |              |         |             |
    |              |   10    |             |
    |              |         |             |
    |              |         |     14      |
    |     15       |         |             |
    |              |         |             |
    |              +-----+---+             |
    |              |     |   |             |
    |              |     | 4 |             |
    |              |  6  |   |             |
    |              |     +---++------------+
    +-------+------+     |    +            |
    |       |      ++-+--+ 5  |            |
    |       |      ||2|  |    |            |
    |       |      |+-+ 3|    |            |
    |       |  7   | ++--+----+            |
    |   8   |      | |        |            |
    |       |      | |        |    13      |
    |       +------+ |        |            |
    +-------+-------+|   9    |            |
    |               ||        |            |
    |               ||        |            |
    |               ||        |            |
    |               ||        ++-----------+    <- The box there is 1.
    |               ++--------++           |       Unmarked regions are empty.
    |               |          |           |
    |               |          |           |
    |      16       |          |           |
    |               |          |           |
    |               |          |           |
    |               |   11     |     12    |
    |               |          |           |
    |               |          |           |
    |               |          |           |
    |               |          |           |
    +---------------+----------+-----------+
    
    				-- edp
    
    
Public key fingerprint:  8e ad 63 61 ba 0c 26 86  32 0a 7d 28 db e7 6f 75
To find PGP, read note 2688.4 in Humane::IBMPC_Shareware.
1903.2HANNAH::OSMANsee HANNAH::IGLOO$:[OSMAN]ERIC.VT240Fri Aug 11 1995 19:347
That might make a nice woodworking project.

Perhaps in the real wood version, if the smallest squares are omitted, the
puzzle would still be difficult.

/Eric