Welcome to a warm and happy place!
The first quilt you have posted is indeed a Giant Dahlia.
The second one is a very complicated stained glass, one I would not attempt because I wouldn't want to be working on it for the rest of my life, lol. There are many lovely stained glass patterns available which don't have a gazillion pieces. Try something a bit smaller first to see if you like doing "stained glass" quilting. Some love it, others not so much. Good luck!