If you draw a line connecting the beehive and the food source, and another line connecting the hive and the spot on the horizon just beneath the sun, the angle formed by the two lines is the same as the angle of the waggling run to the imaginary vertical line. The bees, it appears, are able to triangulate as well as a civil engineer.That's pretty awesome. The manifolds-and-quantum-mechanics stuff is mind-blowing, though.
At this point Shipman departs from safely grounded scholarship and enters instead the airy realm of speculation.is more or less reasonable. Manifolds are interesting as complicated mathematical objects that arise, in general, from fairly simple rules. It's a general feature of mathematics that two problems which are not obviously related may, in fact, be isomorphic to one another. If the primary purpose of bees' communication systems is to locate and collect pollen and nectar, and the internal representation of this information has six variables, then maybe these two six-dimensional problems might overlap. (Why would there be six dimensions? Maybe there are three geometrical variables, fixing the source in three-space, and three variables describing the species, quality, and quantity of the find.) That much of the idea is plausible.
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posted by Babblesort at 12:39 PM on May 7, 2010 [3 favorites]