Carefully print the following two pictures on opposite sides of a piece of paper, so the pieces all line up:
Now cut out each of the pieces, to make a fun double-sided 12-piece jigsaw.
The interesting thing about it is that you can take one vertical strip, flip it upside-down, and attach it to the opposite side of the jigsaw. At any point, the picture shows a 180 degree stretch from the original 360-degree panorama. If you want to see the whole 360 degree view at once, just make two copies of the jigsaw:
Andrew