While Yoko's assistant explores the ocean floor on a mission, Madoka, struggling with Midori's controls, heads home to Kamogawa for the New Year. Back in her hometown, Madoka receives heartfelt New Year's letters from Lan and Muginami, sharing updates on their lives, prompting Madoka to respond swiftly. As time elapses and Madoka progresses to the next school year, Lan and Muginami venture to a replica of Kamogawa on the intergalactic tourist destination, Polyhedron. This event unfolds between the events of the first and second seasons.