The search for symmetry in flowers is similar (often rotational symmetry, in this case), but when you think about it, a flower that showed perfect symmetry and absolutely no blemishes would look like a fake, and probably be thought less beautiful than a real one by most of us.
These thoughts flitted through my mind as I looked at a photo of a house plant that I made this afternoon. Its bloom is sort of roughly symmetric, but what I find striking is the degree to which it is out of kilter, out of whack, totally askew, really off. Usually, I would tend to place my subject a bit away from the center of the frame, unless it was a perfectly symmetrical pattern of some sort. Without thinking about it until after I pressed the shutter, I intuitively framed this image with the subject almost in the center of the field of view. Something about its lopsided nature made it seem strongest there.
(200 mm, f/7.1, shot from minimum focus distance of 1.2 meters)
On the other hand, with a vertical aspect ratio, I preferred it a little more off center. Do you?