We shall not cease from explorationAnd the end of all our exploring Will be to arrive where we started And know the place for the first time -T.S. EliotNature is a tapestry of puzzles, and solving them is a central source of joy in research. Despite their complexity, nature's puzzles can be classified in the same way as puzzles humans invented for entertainment: jigsaw puzzles, logical puzzles, puzzles where we need to find connections to phenomena outside the problem description, and puzzles that require us to think outside the box, often by identifying and dropping implicit assumptions. These archetypes can be distinguished along with two dimensions: whether they are closed-world or open-world and whether the solutions require either making connections or deeper insights into the problem structure. Solving artificial puzzles can be an important practice for the development of scientific creativity-and that is exactly what degree programs impose on their students, particularly in mathematics, physics, and engineering. But nature's puzzles are different from artificial puzzles in one crucial aspect: in the middle of an ongoing research project, you can never be sure what kind of a puzzle you are in. What you mistake for a complex jigsaw puzzle, where all you need to do is put the pieces in front of you into the right arrangement, may in fact be a puzzle you can only solve by identifying a connection to a different field. In research, you thus not only solve a puzzle itself, but also the corresponding meta-puzzle: what type of puzzle are you in? Being conscious of this hierarchical problem structure and switching between perspectives appropriate for different puzzle classes can boost our scientific creativity, accelerating our search for discoveries.
Four kinds of puzzlesDoing science-as opposed to learning about science-requires creative problem solving, which we have previously discussed as "night science" [1]. We solve problems when we figure out what experiment or analysis to carry out or when we try to make sense of