Snake cube puzzle equation












3












$begingroup$


This is a Snake Cube Puzzle



enter image description here



I am trying to understand the solution from mathematical point of view. Someone even wrote a solver: https://github.com/markfickett/snakepuzzle but I can't really read the code. I can imagine a solver that would iterate through all combinations until it finds one that is 3x3x3 in size but that is not really a "solution".



What would be the equation and how would I approach solving it?










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  • $begingroup$
    Follow this: youtube.com/watch?v=Ak-1b8OZG0g
    $endgroup$
    – user334732
    Jul 18 '18 at 18:12
















3












$begingroup$


This is a Snake Cube Puzzle



enter image description here



I am trying to understand the solution from mathematical point of view. Someone even wrote a solver: https://github.com/markfickett/snakepuzzle but I can't really read the code. I can imagine a solver that would iterate through all combinations until it finds one that is 3x3x3 in size but that is not really a "solution".



What would be the equation and how would I approach solving it?










share|cite|improve this question











$endgroup$












  • $begingroup$
    Follow this: youtube.com/watch?v=Ak-1b8OZG0g
    $endgroup$
    – user334732
    Jul 18 '18 at 18:12














3












3








3


1



$begingroup$


This is a Snake Cube Puzzle



enter image description here



I am trying to understand the solution from mathematical point of view. Someone even wrote a solver: https://github.com/markfickett/snakepuzzle but I can't really read the code. I can imagine a solver that would iterate through all combinations until it finds one that is 3x3x3 in size but that is not really a "solution".



What would be the equation and how would I approach solving it?










share|cite|improve this question











$endgroup$




This is a Snake Cube Puzzle



enter image description here



I am trying to understand the solution from mathematical point of view. Someone even wrote a solver: https://github.com/markfickett/snakepuzzle but I can't really read the code. I can imagine a solver that would iterate through all combinations until it finds one that is 3x3x3 in size but that is not really a "solution".



What would be the equation and how would I approach solving it?







group-theory permutations puzzle






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edited Jul 18 '18 at 17:01









0x90

6671817




6671817










asked May 15 '14 at 9:23









daniel.sedlacekdaniel.sedlacek

19411




19411












  • $begingroup$
    Follow this: youtube.com/watch?v=Ak-1b8OZG0g
    $endgroup$
    – user334732
    Jul 18 '18 at 18:12


















  • $begingroup$
    Follow this: youtube.com/watch?v=Ak-1b8OZG0g
    $endgroup$
    – user334732
    Jul 18 '18 at 18:12
















$begingroup$
Follow this: youtube.com/watch?v=Ak-1b8OZG0g
$endgroup$
– user334732
Jul 18 '18 at 18:12




$begingroup$
Follow this: youtube.com/watch?v=Ak-1b8OZG0g
$endgroup$
– user334732
Jul 18 '18 at 18:12










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One can certainly write a solver that just tries all the possibilities, as long as you do it step by step and throw away the ones that fail. The cube target is quite restrictive. If your first three steps are forward it is already too big so you ignore that. The more steps you take, the more likely the shape won’t fit. The number of possibilities stays reasonable. There is a whole literature on tree searching.






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    $begingroup$

    One can certainly write a solver that just tries all the possibilities, as long as you do it step by step and throw away the ones that fail. The cube target is quite restrictive. If your first three steps are forward it is already too big so you ignore that. The more steps you take, the more likely the shape won’t fit. The number of possibilities stays reasonable. There is a whole literature on tree searching.






    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$

      One can certainly write a solver that just tries all the possibilities, as long as you do it step by step and throw away the ones that fail. The cube target is quite restrictive. If your first three steps are forward it is already too big so you ignore that. The more steps you take, the more likely the shape won’t fit. The number of possibilities stays reasonable. There is a whole literature on tree searching.






      share|cite|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$

        One can certainly write a solver that just tries all the possibilities, as long as you do it step by step and throw away the ones that fail. The cube target is quite restrictive. If your first three steps are forward it is already too big so you ignore that. The more steps you take, the more likely the shape won’t fit. The number of possibilities stays reasonable. There is a whole literature on tree searching.






        share|cite|improve this answer









        $endgroup$



        One can certainly write a solver that just tries all the possibilities, as long as you do it step by step and throw away the ones that fail. The cube target is quite restrictive. If your first three steps are forward it is already too big so you ignore that. The more steps you take, the more likely the shape won’t fit. The number of possibilities stays reasonable. There is a whole literature on tree searching.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Jul 19 '18 at 21:56









        Ross MillikanRoss Millikan

        293k23197371




        293k23197371






























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