Koishi's Hatworld

Her hat is her friend, the world is now her friend, she wants to cuddle with her new friend, it helps her relax

A silly idea that came to mind involving Koishi, and having the entire world placed in her hat though magical properites. perhaps slowly rotating within it for day and night cycles, while Koishi looms over it, keeping it as her little toy. What she is actually going to do to the tiny world, I'll leave it open for everyones imagiations...