The “O” series of models are reasoning AI. They can perform internal steps to think about how to solve a problem.
Actually, none of these cases seem to have such a need. The possibility of introspection could allow the AI to think harder about whether a translation is good and iteratively produce it again and again internally, for example, but this is not a behavior typically exhibited by the models. Any model such as gpt-4o could just dump out the result.
Generate a sentence answer to this - maybe o3:
An infinite grid of unit squares needs to be colored red or blue such that every 2x2 square within the grid contains exactly two red and two blue squares.
Question: Is it possible to create such a coloring that is not a simple repeating pattern? You must justify your answer by providing an approachable solution or by proving the infeasible nature.