Cosmogram Squares

Can you figure out the pattern to this puzzle? All the information needed to complete it is all there with the four pieces in the grid. Much like sudoku or a logic problem, this puzzle will have you thinking for some time. The symbols themselves are each unique and no two match, with six parts to each of them. Called Cosmograms, they can be seen as nearly anything within the order of the cosmos and are meant to stimulate new ways of thinking and seeing the world.

Screenshots from Chrome Web Store