Symmetry, pairs.

Biradial symmetry Biradial symmetry is a combination of radial and bilateral symmetry, as in the Ctenophores.

It's got no reflective symmetry.

Beautiful, because it has symmetry.

A whole new symmetry.

Symmetry exhibits the simplicity.

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

Because it is hard to make symmetry.

So, the mutations reverted to symmetry.

So, symmetry wasn't the sign of order and organization which is what I was always understanding, and as is an architect symmetry was the absence of information.

They developed from other members of the Bilateria and exhibit bilateral symmetry in their larval stage.

Artists too love to play around with symmetry.

This is a palace celebrating symmetry.

And so what is symmetry?

But now this has some reflectional symmetry.

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

A nice visual composition of symmetry.

Symmetry is very important in this discussion.

I found other pairs all have symmetry, even though, unlike the master one, their symmetry is split.

Marcus du Sautoy Symmetry, reality's riddle

So it wasn't about symmetry.

Circle of Fifths, acoustic harmony, geometric symmetry.

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

Now, symmetry is almost nature's language.

Mathematics very similar, but there was a whole new symmetry.

So, whenever you lost information, you'd move to symmetry whenever you added information to a system, you would break symmetry.

Then you use the symmetry of special relativity and you get an even simpler set down here, showing that symmetry exhibits better and better.

Now, for Galois, there was actually a sixth symmetry.

And for Galois this was like the zeroth symmetry.

The disciples radiate away from Christ in almost mathematical symmetry.

Various physical systems, such as crystals and the hydrogen atom, can be modelled by symmetry groups.

And Bateson invented the concept of symmetry breaking, which is that wherever you lose information in a system, you revert back to symmetry.

You don't see any symmetry twice in any row or column.

Then, using vector analysis, you use rotational symmetry, and you get this next set.

They've got this amazing sort of symmetry to their life.

Groups share a fundamental kinship with the notion of symmetry.

Such a reduction of the symmetry is called explicit symmetry breaking .

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

But it's not just scientists who are interested in symmetry.

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

You see it already. Immediately you go in, the reflective symmetry in the water.

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

The more and more symmetry you have, the better you exhibit the simplicity and elegance of the theory.

Here we can see the second and third generations of matter now related to the first generation by a symmetry called triality.

And a fifth symmetry, I can rotate it by five sixths of a turn.