You have the instructions leaflet, they teach u quite some stuff, the important thing is capping the upper and lower halves of the internal sphere together until the notch above and below are align(have to be as either that or they won't come together tightly).
Then just insert the inner ball into the outer sphere(still partially open) until the notches of the inner sphere sit nicely into indents of the outer sphere from the inside.
Then, for the outer sphere/ball, just put in all the orange peel-like parts until it's a half globe, do the same for the other half globe(empty as this one has no inner sphere-which is in the other half of the outer ball). The trick lies in after inserting all the tiles properly, how to click everything back into place.
Just cap the two halves of the globe together(one half rotated 180 from the other half & then turn the two until they click into place)
This is confusing and would be better with a diagram, but since you have already taken it apart, u should get what i am describing here (at least most of it).
For those, just reading, this will of course seem like nonsense..LoL
Let me know l8r!