Not sure, but pretty much any plant with a root system will grow in hydroponics (which includes most flowers). The fertilizer mix may be different for different plants, but the concept is the same.
The biggest pain with hydroponics is that you do have to totally change out the water periodically. That gets difficult, because you have to add nutrients, and those nutrients are pretty caustic, cannot be pre-mixed and actually need to be mixed into the solution in a certain order...
After a while, these "automated garden projects" end up becoming basically industrial control/automation projects with complex rulesets, programming schedules, etc. It was fun and I learned a lot, but it ends up being a much bigger project than you assume when you start.
The biggest pain with hydroponics is that you do have to totally change out the water periodically. That gets difficult, because you have to add nutrients, and those nutrients are pretty caustic, cannot be pre-mixed and actually need to be mixed into the solution in a certain order...
After a while, these "automated garden projects" end up becoming basically industrial control/automation projects with complex rulesets, programming schedules, etc. It was fun and I learned a lot, but it ends up being a much bigger project than you assume when you start.