::Structure::
The two basic (and obvious) things to consider are 1. member type (and probably more importantly internal forces) and 2. external loads.
1. When designing, consider arches (compression and bending), trusses (tension and compression), planes (tension, compression, bending, shear, i.e. shear walls ), hanging (tension, i.e. inverted arch). Think about how these forces balance each other globally and what bottle-bottle connections are needed to transfer the loads within the member.
2. It'll be nearly impossible to figure out live loads (rain, wind and forces from fluid flow) and dead loads for the structure before hand. Luckily (or unfortunately), it's fairly likely that the critical demands on the structure aren't these, but the far less predictable loads imparted by people. We won't (can't) design to totally prevent people from damaging the structure, but it could be a benchmark to shoot for or at least something to keep in mind.
::Design::

Another is the Schubert Club Band Shell in St. Paul. OK, so this doesn't resemble a flower at all, but it's an interesting model for a simple shelter that's pretty structurally neat. It could be one component of the final design perhaps.
At the Evanston Art Center there was an meta-installation last year with bottles. You can read about it here. They made the community a large part of the project as well and did interesting things with lighting.
::Misc.::
So this isn't a structure, but just an idea: So, you know those spiral wishing wells? Or that Bill Nye trick where you make spin a bottle to make a vortex to make the water flow out faster? We could set up rain flow so that it forms a vortex and filters faster and makes the process a little more exciting. But this has to be balanced with the fact that quickly moving water could exert large dynamic lateral forces on the structure, where as semi-static loads of slowly flowing water are easier to deal with.
Lastly, I heard people talking about how heavy water is. So, just in case anyone's interested: unit weight of water is 62.4 lb/cu. ft. (pcf), for regular loose top soil it's about 90pcf, for sand it's about 110pcf, for most other soils it's 120pcf and for concrete it's about 150pcf. (Yeah, engineers can't help but hold onto random values like this...)
And here are some sketches they'll hopefully spark more thought...
-AS
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