In this episode of Discover Daily, we explore three intriguing topics: SpaceX's bold initiative to transform its Starbase facility in Texas into a city, a UK startup's innovative and somewhat controversial plan to refreeze Arctic ice using underwater drones, and a recent breakthrough solving the long-standing "moving sofa problem" in mathematics, which could have significant implications for robotics and other fields. The podcast beautifully contrasts ambitious projects aimed at combating climate change with a mathematical discovery that has surprising real-world applications.