But a distributed layout might have higher minimums than a single orientation. For an actual tree, at least, that might be important. The sun doesn't just move during the day, it changes its course over the year, so it might be very beneficial to the tree to ensure that it get's at least a certain amount of juice each day.
There might be other reasons than optimal solar exposure. Maybe structural reasons, or, I don't know, sap distribution ...
Finally, maybe the Fibonacci sequence gets selected in nature a lot because it's easy to select. What I mean is, the very best algorithms are not necessarily the ones that get selected - the ones that actually get tried and are good enough to survive are the ones that appear. My theory is that organisms stumble into stuff like the Fibonacci sequence or that fern fractal because they are likely to and because they work well enough for whatever purpose.
So there is some theoretical and experimental work arguing that the Fibonacci sequence minimizes the energy of soft particles interacting repulsively when constrained to the surface of a cylinder. In 2009, some physicists found the pattern when they made a "Magnetic Cactus": http://arxiv.org/abs/1002.0622
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But a distributed layout might have higher minimums than a single orientation. For an actual tree, at least, that might be important. The sun doesn't just move during the day, it changes its course over the year, so it might be very beneficial to the tree to ensure that it get's at least a certain amount of juice each day.
There might be other reasons than optimal solar exposure. Maybe structural reasons, or, I don't know, sap distribution ...
Finally, maybe the Fibonacci sequence gets selected in nature a lot because it's easy to select. What I mean is, the very best algorithms are not necessarily the ones that get selected - the ones that actually get tried and are good enough to survive are the ones that appear. My theory is that organisms stumble into stuff like the Fibonacci sequence or that fern fractal because they are likely to and because they work well enough for whatever purpose.
So there is some theoretical and experimental work arguing that the Fibonacci sequence minimizes the energy of soft particles interacting repulsively when constrained to the surface of a cylinder. In 2009, some physicists found the pattern when they made a "Magnetic Cactus": http://arxiv.org/abs/1002.0622
All about that bottom line. Trees do a pretty good business.