One more time...
Flowers ARE an infinite series as are ALL living things. Their infinite nature is made manifest functioning via Phi and thus they can continue, grow and reproduce infinitely.
The "secret" of Phi is that it allows and permits an infinite uiniverse where energy can keep going on and on and on....
You cannot gather up an infinite amount of anything at one time. Not flowers or anything else. As soon as you contain it, it becomes finite.
In a finite universe with finite potentials all animals, plants and things would've ended long ago. They would not function via Phi.
There would be no Phi. Not in mathematics, not in nature - not in anything.
;-)