Math people, looking for ideas/recommendations. I have this teen who loves math. Super smart. Loves geometry. Loves number-theory-ish things. 3d thinker; really into engineering/design sorts of things - 3d print, crafting with all sorts of materials. Also musical; plays a few instruments.
She wants to work on some or another piece of math with me, outside of school. I am looking for a good project, book, or set of materials to start working through together. I would love recommendations.
For example, are there suitable and engaging materials, or a book, we might work on together re: analytic number theory, or complex analysis, or even some music & math or math & engineering materials...? She doesn't know calc yet, but would be good to learn along the way as long as it's not jumping too deep, too quickly.