A Quote by Margaret Wertheim
It turns out that hyperbolic structures are very common in nature, and the place where lots of people encounter them is coral reefs. Sea slugs, and a lot of other organisms with frilly forms, are biological manifestations of hyperbolic geometry, which is also found in the structure of lettuce leaves and kales, and some species of cactus.
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Sometimes, properties of a fixed hyperbolic surface can be better understood by studying the moduli space that parameterises all hyperbolic structures on a given topological surface.
Coral reefs represent some of the world's most spectacular beauty spots, but they are also the foundation of marine life: without them many of the sea's most exquisite species will not survive.
Nature delights in making use of the same forms in the most various biological connections: as it does, for instance, in the appearance of branch-like structures both in coral and in plants, and indeed in some forms of crystal and in certain chemical precipitates.
Coral reefs, the rain forest of the ocean, are home for one-third of the species of the sea. Coral reefs are under stress for several reasons, including warming of the ocean, but especially because of ocean acidification, a direct effect of added carbon dioxide. Ocean life dependent on carbonate shells and skeletons is threatened by dissolution as the ocean becomes more acid.
Coral reefs represent some of the worlds most spectacular beauty spots, but they are also the foundation of marine life: without them many of the seas most exquisite species will not survive.
Coral reefs are the backbone for the entire ocean. They are the nursery for the ocean. About a quarter of all marine life in the ocean spends part of its lifecycle on a coral reef. And there are about a billion or so people that depend on coral reefs for fish for their food, for protein.
A billion homo sapiens are added every 11 years to the planet. The hypertrophy of a single species pushes other life-forms out of bed and into extinction. The decline of biological diversity is real and severe. The alarming loss of soil fertility, forest cover, and coral reef viability and the release of fossilized CO2 that nature put away 300 million years ago in its march toward greater diversity - all these "losses" and many others are the result of one life-form annihilating other life-forms in its immoral confusion of "dominion" with "domination."
It must be stressed that there is nothing insulting about looking at people as animals. We are animals, after all. Homo sapiens is a species of primate, a biological phenomenon dominated by biological rules, like any other species. Human nature is no more than one particular kind of animal nature. Agreed, the human species is an extraordinary animal; but all other species are also extraordinary animals, each in their own way, and the scientific man-watcher can bring many fresh insights to the study of human affairs if he can retain this basic attitude of evolutionary humility.
History's political and economic power structures have always abhorred 'idle people' as potential troublemakers. Yet nature never abhors seemingly idle trees, grass, snails, coral reefs, and clouds in the sky.
Practically the whole world depends on coral reefs, so if the coral reefs get all killed, then the ocean will start going out of whack, and if the ocean goes out of whack, something might happen on land.
One way to think about a pure hyperbolic surface is that it's the geometric opposite of a sphere. If you look at a sphere, the curvature is the same everywhere, as opposed to, say, an egg, which clearly does not curve the same everywhere. This is what makes spheres geometrically important. Mathematically speaking, a sphere has positive curvature and a hyperbolic surface has negative curvature, but both have constant curvature everywhere.
Fan reaction is so out-sized and hyperbolic in rock music compared to other arts.
I'm very attracted to schematic structures. My brother is a chemical engineer, he has a very mathematical mind, and he's also a visual artist. I think we have a lot in common. And my first film had a very tight structure, narratively.
There's less mystery in the sea than there is in fresh water. If you look at television there's lots of documentaries on whales, on coral reefs, the deep oceanic trenches. There's loads of stuff. But as soon as you look for anything about fresh water, the information is very sketchy.
The Bahamas has mangrove nurseries, coral reefs, shallow sea grass beds, and deep oceanic trenches - all perfect ecosystems for sharks. Photographing multiple shark species in exquisite water was the assignment I had dreamed about from the start.
There is part of a structure in which every species is related to every other species. And they're built up on species, like a pyramid. The simpler cell organisms, and then the more complicated ones, all the way up to the mammals and birds and so forth. We call it 'developing upward'... The whole thing depends on every part of it. And we're taking out the stones from the pyramid.
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