We interrupt your weekend merry-making with a red alert:
Let us imagine a planet covered
with calm water. If you drop a large rock into the water at the North Pole, a
wave will propagate out in a
circle of ever-increasing radius.
In due course, however, this circle will reach the equator, after which
it will start [inexorably] to shrink, until eventually the whole wave raches
the South Pole at once, in a sudden burst of energy.
-- “Manifolds and Differential
Geometry”, in Timothy Gowers, ed., The Princeton Companion to Mathematics
(2008), p. 44
Moral of the story:
DO NOT DROP A LARGE ROCK INTO THE WATER AT THE NORTH POLE ! It would swamp the penguins!
[Note for connoisseurs: This effect is an analog of what S|G|NTers call "antip*dal recepti*n", one variety of the 'whispering-gallery' phenomenon.]
[Note for connoisseurs: This effect is an analog of what S|G|NTers call "antip*dal recepti*n", one variety of the 'whispering-gallery' phenomenon.]
Incidentally -- For an example of a manifold in the form of
a differentiable penguin, click here.
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