Enquire within upon everything
Robert Kemp Philp9022592. The Thirty-Four Puzzle. This is an adaptation of tho old magic square, which amused the philosophers of old. A sketch of it appears in Albert Durer's painting of Melancholia. Sixteen discs or squares, numbered from 1 to 16, are placed indifferently on the table--or they may be in the fifteen box; and the puzzle is to so arrange them as to make the sum of the figures add up to 34, whether counted up, down, across or angularly. Here is the solution: --------------------------- --------------------------- | | | | | | | | | | | 1 | 15 | 14 | 4 | | 1 | 8 | 13 | 12 | | | | | | | | | | | |------+------+------+------| |------+------+------+------| | | | | | | | | | | | 12 | 6 | 7 | 9 | | 14 | 11 | 2 | 7 | | | | | | | | | | | |------+------+------+------| |------+------+------+------| | | | | | | | | | | | 8 | 10 | 11 | 5 | | 4 | 5 | 16 | 9 | | | | | | | | | | | |------+------+------+------| |------+------+------+------| | | | | | | | | | | | 13 | 3 | 2 | 16 | | 15 | 10 | 3 | 6 | | | | | | | | | | | --------------------------- --------------------------- This is the simplest; but a more elaborate plan is to so arrange the figures that any form of the blocks will form a square sum of 34. See the annexed solution, which the ingenious in may still further complicate: