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Patterns in Nature (fractals - fractal geometry / "the geometry of…
Patterns in Nature
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waves and dunes
all of nature is waves
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the correlation between the population of foxes and rabbits, for ex
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symmetry
symmetry operations - movements that don't alter the appearance of the object: rotations, reflections, translations
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To get a pattern from smth that is initiallu unpatterned and uniform - reduce the symmetry (symmetry breaking). Nature's way of turning things which are the same into things which are different. The more symmetry gets broken - the more subtle and elaborate the pattern.
a property of an object or structure that allows us to change it in some way while leaving it looking just the same as it was before
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Pattern formation is not a static thing but
arises from growth. The answer to the riddle of pattern lies in how it got to be that way. How the pattern grew.
Living nature: The answer to the riddle of pattern lies in how it got to be that way. How the pattern grew.
Perhaps the nature simply had no choice: the shape is decided by the dictates of the physical forces, not by the convenience for biology.So, the right question to ask is not "Why is it this way?" but "Why did it come to be this way? As a consequence of what?"
Rather often the patterns in animals are arbitrary, not crucial for evolution but rather useful (mimicry)
Man-made objects: they can be "explained" by how they look, not by how they were made (a bridge, a paddy field, a microchip)
There is no Law of Pattern Formation,
but there is perhaps a recipe book.
spots and stripes
WHY is easy to answer, but HOW?
WHY
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Buuuut in some cases we are not sure, though it definitely has got an adaptive function
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Mathematics is the language of the Nature, can describe any pattern