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Try taking a look at some existing plants - Maxis and custom, to see how they're made.
I think in most cases you will find that the pieces are various types of planes (which may be curved/manipulated/shaped), mapped flat, then arranged repeating through the plant. Edges of the textures will have alpha cutouts (transparency) to create the illusion that half a sphere really has edges that make it look like the petals of a flower, or that a simple diamond-shaped plane has a gently sweeping curved and serrated edge, like the edge of a leaf.
You'll see more specific examples and techniques when you look at some existing plants and pick apart what their creators have done to make what you see in terms of mesh parts, mapping, and texturing.
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