Christopher Mowla
Premium Member
If we were to find a way to find an optimal solution for any given scramble on the nxnxn cube or any other order of any twisty puzzle that exists without brute force methods (and I'm talking about within our lifetime), what real-world problems of today could be solved? What real-world processes of today could be optimized?
Let's suppose that the technique used to find God's algorithm (remember that we're pretending it isn't a brute force algorithm) is a systematical process which gives the optimal product of cycles to solve any permutation. More specifically, a process which solves any allowed permutation in all independent orbits (components or subsystems) of a puzzle (system) simultaneously.
I just want to see if anyone has fantasized about finding God's algorithm for twisty puzzles for reasons more than just the expected gratification of having a way to compute God's number for a certain puzzle (by solving all positions optimally).
The reason why I'm asking for us to pretend it isn't a brute force technique is because, for very complicated systems, if we actually have a way of understanding how we get from point A to point B, then that will very insightful. It might even help scientists develop a new perception of a lot of processes they have been studying and possibly open doors to other major breakthroughs in technology.
Everyone is welcome to participate in the discussion (don't be shy
).
Let's suppose that the technique used to find God's algorithm (remember that we're pretending it isn't a brute force algorithm) is a systematical process which gives the optimal product of cycles to solve any permutation. More specifically, a process which solves any allowed permutation in all independent orbits (components or subsystems) of a puzzle (system) simultaneously.
I just want to see if anyone has fantasized about finding God's algorithm for twisty puzzles for reasons more than just the expected gratification of having a way to compute God's number for a certain puzzle (by solving all positions optimally).
The reason why I'm asking for us to pretend it isn't a brute force technique is because, for very complicated systems, if we actually have a way of understanding how we get from point A to point B, then that will very insightful. It might even help scientists develop a new perception of a lot of processes they have been studying and possibly open doors to other major breakthroughs in technology.
Everyone is welcome to participate in the discussion (don't be shy
).
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