A thought came to mind as I was working with some magnets the other day. What if you took a bunch of slightly curved magnet pieces and tiled them together into a hollow sphere? If the pieces were shaped like the sections on a soccer ball and each piece was magnetized such that the outside was, say, north and the inside was south, you could tile them together into a hollow sphere that was all north on the outside.
I know from experience that when tiling magnets, the sections will strongly repel each other and require a bit of force to hold them in place, but once glued or clamped, they behave like a single larger magnet.
So what would happen if you attempted to make a sphere from these pieces? Would the south flux inside leak through the cracks? If the pieces were well fitted and tightly glued together, I don't think the presence of the joints between pieces would be significant or they could be tongue and groove to make it more homogenous. Would the flux choke off to zero once the last tile was placed? If there was one small opening in the sphere, would all the south flux be concentrated into the opening and become super strong?
If you had a pair of "north" balls, they could alway repel each other, regardless of orientation.
I don't know of any practical application for such a thing either, just more of a theoretical exercise.
I know from experience that when tiling magnets, the sections will strongly repel each other and require a bit of force to hold them in place, but once glued or clamped, they behave like a single larger magnet.
So what would happen if you attempted to make a sphere from these pieces? Would the south flux inside leak through the cracks? If the pieces were well fitted and tightly glued together, I don't think the presence of the joints between pieces would be significant or they could be tongue and groove to make it more homogenous. Would the flux choke off to zero once the last tile was placed? If there was one small opening in the sphere, would all the south flux be concentrated into the opening and become super strong?
If you had a pair of "north" balls, they could alway repel each other, regardless of orientation.
I don't know of any practical application for such a thing either, just more of a theoretical exercise.