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hello, I am Erwin Bonsma and in this video I want to demonstrate a puzzle that I designed
It basically features 9 tiles
numbered from 1 to 9 indicated by the dots
and a tile can move by swapping it with one of its neighbors
for example here
tile 9 you connect it with tile 6 and you swap them
similarly here, tile 7, you connect it with tile 5
and you swap them as well
well, the puzzle would not be very interesting if you could swap any pair of tiles
and in fact, you can't. there's a rule
you can only swap a pair of tiles
if their sum is divisible by either 3 or 5
so for example here, tile 8 and tile 2
add them up, that's 10, divisible by 5, so you can swap them around
similarly tile 8, tile 1
add them up, it's 9, divisible by 3
so you can swap them around
in contrast for example, here, tile 5, tile 2, add them up, it's 7
it's not divisible by 3, it is not divisible by 5 either
so they do not connect, you cannot swap them
similarly tile 5, tile 6, add them up, it's 11
yet another prime number, it is not divisible by 3
nor by 5 so you cannot swap them
if you would try to do so by force you would actually break the puzzle so that's not recommended
it's an interesting puzzle because every tile has its own movement constraints
I'm in order to solve it, you really have to plan ahead
also there are various challenges, so the main challenge is to order the tiles
from one to nine that's basically what we have reached here
so we are back to the starting position, so 1 to 9
but there are other challenges as well of varying difficulty
so all in all it's an interesting puzzle
one that you can purchase at my Shapeways shop