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The 15 puzzle (also called Gem Puzzle, Boss Puzzle, Game of Fifteen, Mystic Square and more) is a sliding puzzle. It has 15 square tiles numbered 1 to 15 in a frame that is 4 tile positions high and 4 tile positions wide, with one unoccupied position.
It consists of 15 numbered interlocking tiles in a box. The tiles cannot be removed from the box, but since there is one tile missing, they can be slid to different positions. The object of the game is to restore the numbered tiles to consecutive order as shown, from an initial random order.
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The largest puzzle (40,320 pieces) is made by a German game company Ravensburger. [8] The smallest puzzle ever made was created at LaserZentrum Hannover. It is only five square millimeters, the size of a sand grain. The puzzles that were first documented are riddles. In Europe, Greek mythology produced riddles like the riddle of the Sphinx ...
Returning to original piece configuration. Flipping the puzzle put it in a configuration that is not achievable and the previous attempt to fix put it in a configuration that is not a magic square (used for that purpose on de.wiki) 16:22, 24 May 2020: 920 × 920 (4 KB) Antonsusi: Reverted. Don't overwrite the image. Please use a new filename.
Generally, most American puzzles are 15×15 squares; if another size, they typically have an odd number of rows and columns: e.g., 21×21 for "Sunday-size" puzzles; Games magazine will accept 17×17 puzzles, Simon & Schuster accepts both 17×17 and 19×19 puzzles, and The New York Times requires diagramless puzzles to be 17×17. [90]
But mn-1 puzzles can be treated like n^2-1 puzzles with an extra row (i.e. concentrating on the row(s) first) -- 46.173.12.68 10:44, 8 October 2013 (UTC) The classic solution for the n^2-1 puzzle is to create an (n-1)n-1 puzzle by solving the first row and continuing to solve the mn-1 reducing m by 1 each iteration until m=2.
Another way to change the puzzle is to restrict which colors squared make up the border colors. In the classic MacMahon squares puzzle, there are a total of 20 places on the border. [1] The number of each color that can be present on these 20 places can be described by B a,b,c [1] where a, b, and c are the number of each color of the border pieces.