Symmetry

Symmetry, pairs.

So Native Americans use a combination of circular symmetry and fourfold symmetry.

With X symmetry

With Y symmetry

A whole new symmetry.

Symmetry exhibits the simplicity.

So it wasn't about symmetry.

Beautiful, because it has symmetry.

And so what is symmetry?

It's got no reflective symmetry.

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

A nice visual composition of symmetry.

So, the mutations reverted to symmetry.

Marcus du Sautoy Symmetry, reality's riddle

Now, symmetry is almost nature's language.

This is a palace celebrating symmetry.

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

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

Circle of Fifths, acoustic harmony, geometric symmetry.

Symmetry is very important in this discussion.

Because it is hard to make symmetry.

But now this has some reflectional symmetry.

Artists too love to play around with symmetry.

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

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

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

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

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

Time could not mar the perfect symmetry of those walls.

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.

You can even see a little axis of symmetry through it.

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

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

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

who created thee and shaped thee and wrought thee in symmetry

who created thee and shaped thee and wrought thee in symmetry

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

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.

Who created you then formed your symmetry, then gave you right proportion,

Who created you then formed your symmetry, then gave you right proportion,