Hyperbolic cosine

Hyperbolic cosine

Hyperbolic arc cosine

Inverse hyperbolic cosine

RG Hanging cable takes on the form of a hyperbolic cosine.

Cosine

Arc cosine

Arc cosine

Hyperbolic sine

Hyperbolic tangent

Hyperbolic secant

Hyperbolic cosecant

Hyperbolic cotangent

Hyperbolic sine

Hyperbolic tangent

Hyperbolic mode

Hyperbolic arc tangent

Hyperbolic arc sine

Hyperbolic arc cosecant

Hyperbolic arc secant

Inverse hyperbolic sine

Inverse hyperbolic tangent

Function to calculate the cosine of a given angle

Create and study hyperbolic 3 manifolds

There is the cosine function, and there is the tangent function.

So what is this impossible hyperbolic structure?

Accordingly, the square of the sine plus the square of the cosine...

Now, that is only a little bit hyperbolic.

Now, that is only a little bit hyperbolic.

So what is this hyperbolic geometry that corals and sea slugs embody?

It turns out that the natural world is full of hyperbolic wonders.

Before hyperbolic geometry, mathematicians knew about two kinds of space Euclidean space, and spherical space.

And so, too, we've discovered that there is an infinite taxonomy of crochet hyperbolic creatures.

The saddle shaped structure is also known as a hyperbolic paraboloid surface, or an anticlastic surface.

The discovery of hyperbolic space ushered in the field of mathematics that is called non Euclidean geometry.

SP ... These four things. Prospect theory, hyperbolic discounting, status quo bias, base rate bias. They're all well documented.

And that's exactly what happened when Daina Taimina in 1997, showed that you could crochet models in hyperbolic space.

The frilly crenulated forms that you see in corals, and kelps, and sponges and nudibranchs, is a form of geometry known as hyperbolic geometry.

So, very interesting parallels between the biological and the engineering worlds. And interestingly, this turns out the stomatopod saddle turns out to be the first described biological hyperbolic paraboloid spring.

Hyperbolic overkill is a way of taking exaggeration to the absolute ultimate limit, just for the fun of it. This was a piece I did a brochure again RMS Tyrannic The Biggest Thing in All the World.

Margaret Wertheim leads a project to re create the creatures of the coral reefs using a crochet technique invented by a mathematician celebrating the amazements of the reef, and deep diving into the hyperbolic geometry underlying coral creation.

Even mathematicians, who in some sense are the freest of all thinkers, literally couldn't see not only the sea slugs around them, but the lettuce on their plate because lettuces, and all those curly vegetables, they also are embodiments of hyperbolic geometry.

In recent discussions about how to combat the virus, the methodical rigor of science and medicine has given way to hyperbolic politics and public hysteria. To be sure, informed, data driven public policy to manage the current outbreak must remain a top priority.

EDMONTON Calm discussion of the environment nowadays is about as plausible as reasoned dialogue on witchcraft in colonial Massachusetts. Consider the hyperbolic debate over the Keystone XL pipeline, which would funnel oil from Canada s Athabasca tar sands in northeastern Alberta to refineries on the Texas Gulf Coast.

But through this sort of modality, crochet, other plastic forms of play people can be engaged with the most abstract, high powered, theoretical ideas, the kinds of ideas that normally you have to go to university departments to study in higher mathematics, which is where I first learned about hyperbolic space.