That is the line of symmetry, and so this top graph is going to look something like this.

And so what is symmetry?

So I had a little symmetry.

Now, symmetry is almost nature's language.

Marcus du Sautoy Symmetry, reality's riddle

The performance of the structures has been far from uniform.

Because it is hard to make symmetry.

And it's a symmetry we call 6 3 2.

For Galois, symmetry unlike for Thomas Mann, which was something still and deathly for Galois, symmetry was all about motion.

Commodity information reducing asymmetries

And it uses the efficiency of symmetry to be able to propagate itself so well.

And for Galois this was like the zeroth symmetry.

It's almost like the concept of number being developed for symmetry.

Commodity information reducing asymmetries 9

I should say this.

So symmetry is a language which can help to communicate genetic information.

But it's the motion that really characterizes the symmetry inside the Alhambra.

You can see, even if you don't go for the numbers, the beauty of the symmetry.

Here is Thomas Mann talking about symmetry in The Magic Mountain.

Dash, dash, dot, dot, dot, dot, long dash.

And you can see how the lines occur in these little groups of bump, bump, bump, bump, bump.

Well this is a line, and this is a line.

What is symmetry? When there are two of these walls, do they have the same symmetries?

Indeed, there is no symmetry of suffering on the two sides of the border.

They did it within two or three degrees of the pole, to maintain similarity between continents.

And we'll talk about things like inverses in the future that are symmetric around the line, y is equal to x.

When there are two of these walls, do they have the same symmetries?

Five symmetries and then of course the zeroth symmetry where I just pick it up and leave it where it is.

What crystals are possible, we can understand through the mathematics of symmetry.

Can we say whether they discovered all of the symmetries in the Alhambra?

And there is some symmetry here in the way the symmetries interact with each other.

Let's say I have a line, let me make it a straight line.

And let me draw a line, let me draw a line like this.

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Chinese cities seek to counter uniformity via campaigns to recover their unique spirit.