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  • MilesM8 commented on jrdnjacobson's instructable How To Solve The 15 Puzzle2 years ago
    How To Solve The 15 Puzzle

    A few tips:- when solving for the end of a row (3 and 4, 7 and 8- i'll use 3 and 4 for this example), if it is more convenient to group the 3 tile with tiles 1 and 2 and solve for all three at the same time, you can position the 4 tile either under the 3 or under the spot where 4 should go. From here, you can slide 1 down, slide 2 and 3 to the left, and slide 4 up next to the 3, then slide everything back into place. The row should be completed.-This can be done on any row above the last two for any position, however it is most viable to use for 3 and 4 in the 15 puzzle. -This method is used much more frequently for puzzles bigger than 4x4.- when solving for the last two rows, it is almost a necessity to solve for 9 and 13 first, but after that, a differing method can be used to finish ...

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    A few tips:- when solving for the end of a row (3 and 4, 7 and 8- i'll use 3 and 4 for this example), if it is more convenient to group the 3 tile with tiles 1 and 2 and solve for all three at the same time, you can position the 4 tile either under the 3 or under the spot where 4 should go. From here, you can slide 1 down, slide 2 and 3 to the left, and slide 4 up next to the 3, then slide everything back into place. The row should be completed.-This can be done on any row above the last two for any position, however it is most viable to use for 3 and 4 in the 15 puzzle. -This method is used much more frequently for puzzles bigger than 4x4.- when solving for the last two rows, it is almost a necessity to solve for 9 and 13 first, but after that, a differing method can be used to finish the puzzle. Instead of solving for 10 and 14 next, one can instead solve for 10 and 11, then use a similar method to the one used in the first tip I mentioned. This entails sliding both to the side (putting 10 next to 13, and 11 next to 9), allowing you to cycle (rotate, as seen in step 11 of this tutorial) the 12 tile into position next to the 11 tile. From there, the whole 3x2 arrangement can be cycled clockwise to the solved position. -This process can also instead be done solving for 11 and 12 instead of 10 and 11, with the later steps reversed.-With puzzles bigger than 4x4, only use this method when 3x2 tiles remain unsolved.Overall, this puzzle is very fluid- there are many strategies that can be used to solve it. I recommend finding out what strategies work best for you. With practice, you can even beat the current Guinness world record (10 puzzles consecutively solved in 3 minutes 51 seconds). Good luck, reader.

    A few tips:- when solving for the end of a row (3 and 4, 7 and 8- i'll use 3 and 4 for this example), if it is more convenient to group the 3 tile with tiles 1 and 2 and solve for all three at the same time, you can position the 4 tile either under the 3 or under the spot where 4 should go. From here, you can slide 1 down, slide 2 and 3 to the left, and slide 4 up next to the 3, then slide everything back into place. The row should be completed.--This can be done on any row above the last two for any position, however it is most viable to use for 3 and 4 in the 15 puzzle. --This method is used much more frequently for puzzles bigger than 4x4.- when solving for the last two rows, it is almost a necessity to solve for 9 and 13 first, but after that, a differing method can be used to finis...

    see more »

    A few tips:- when solving for the end of a row (3 and 4, 7 and 8- i'll use 3 and 4 for this example), if it is more convenient to group the 3 tile with tiles 1 and 2 and solve for all three at the same time, you can position the 4 tile either under the 3 or under the spot where 4 should go. From here, you can slide 1 down, slide 2 and 3 to the left, and slide 4 up next to the 3, then slide everything back into place. The row should be completed.--This can be done on any row above the last two for any position, however it is most viable to use for 3 and 4 in the 15 puzzle. --This method is used much more frequently for puzzles bigger than 4x4.- when solving for the last two rows, it is almost a necessity to solve for 9 and 13 first, but after that, a differing method can be used to finish the puzzle. Instead of solving for 10 and 14 next, one can instead solve for 10 and 11, then use a similar method to the one used in the first tip I mentioned. This entails sliding both to the side (putting 10 next to 13, and 11 next to 9), allowing you to cycle (rotate, as seen in step 11 of this tutorial) the 12 tile into position next to the 11 tile. From there, the whole 3x2 arrangement can be cycled clockwise to the solved position. --This process can also instead be done solving for 11 and 12 instead of 10 and 11, with the later steps reversed.--With puzzles bigger than 4x4, only use this method when 3x2 tiles remain unsolved.Overall, this puzzle is very fluid- there are many strategies that can be used to solve it. I recommend finding out what strategies work best for you. With practice, you can even beat the current Guinness world record (10 puzzles consecutively solved in 3 minutes 51 seconds). Good luck, reader.

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