I can't flip it because I've put a little twist on it, haven't I?

The Alhambra somehow asks all of these questions.

Symmetrical its central body mass.

Well, I can rotate by a third of a turn clockwise or a third of a turn anticlockwise.

So that's two.

It's s over s squared over s squared plus a squared.

So they explored a more geometric art.

And simply, because the neutron's are a little heavier, there will be fewer of them in the mix, which is why there will be asymmetry between them and protons.

You see it already.

21 is the closest.

and Bob Mills put forward, 50 years ago, this generalization of Maxwell's equations, with a new symmetry.

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

Steps toward unification exhibit the simplicity.

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

But let's go back down to symmetries that I got for these two objects.

So why shouldn't we say they have the same symmetries?

Asymmetrical

Symmetric Point

And this enables us to distinguish why the symmetries of these objects they both have six symmetries.

Simulation of a force free rotating asymmetric body

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

There are lots of more sophisticated examples.

Rockin' it when I be, in your vicinity

I could rotate it by a third of a turn, or a half a turn, or put it back down on its image, or two thirds of a turn.

Below

And the way that you recognize it is because it has this symmetry. around the Y axis.

Flip

Flip Over

Inverse

Flip

Toggle

And if you think about it, all these different societies have different geometric design themes that they use.

Then Einstein, with his special theory of relativity,

But they just miss.

The Rubik's Cube.

You take a sphere, in three dimensions, you rotate around the center of the sphere, and all those rotations leave the sphere alone.

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

Third Male

Third Female

Third Neutral

Reflect in Point

Reflect in Line

Symmetrical encryption

Only more debts.

Galois has produced a language to say that in fact the symmetries underlying these are exactly the same.