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My description above is how the tree was described to me by a guide. I agree that I can't quite picture how it would actually move without losing its support for the center of gravity of the tree. With regard to the talk of these trees being on hills: this particular tree was on the side of Arenal Volcano, so it was on a slope.
Maybe it's just a good story for guides to tell, or maybe it really works somehow. A netizen sent me a link to this MIT paper using the walking tree as an example of problem solving:
http://web.media.mit.edu/~mres/papers/tree/
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