[Edit] The thing that I find the most fascinating is that all the complex design you see, are done with only using a pair of compass and rulers.
Have you ever come across Penrose tilings? If not, they might be something you’d also find interesting:
To your point of Computer generated Imagery, I think it would be too easy, but that would definitely take the fun away
Happy to meet you.
Want to visit Isfahan someday. Now is not the time I guess. The standard recommendation is Alhambra of course.
By the way you might like making kaleidoscopes.
I have found using compass and ruler only methods much more accurate because I don't have a drafting board or anything. The usual school supply rulers are not finely graduated enough to rely on them. In fact they aren't long enough for my purposes (although I can get a longer one if I want. The fun of deducing compass constructions is its own reward).
Even simple things such as drawing a parallel can become insufficiently accurate. With compass and ruler, much better. Ideally one should have drafting board and T square.