Yes say the cylindrical magnet center is positioned at (1,1,1) then when the magnet rotates around its axis it rotates with the center never leaving (1,1,1) but when the magnet rotates in space it would rotate around (0,0,0), so it would go from (1,1,1) to (-1,1,1) to (-1,-1,-1) to (-1,-1,0) and...