Asymmetrical

Symmetric Point

The Alhambra somehow asks all of these questions.

Reflect in Point

Reflect in Line

Symmetrical encryption

Only more debts.

And we're going to use the two sided version of this because we're symmetric around the center.

I don't always know why I take photographs of things.

Select the line to reflect in...

Reflect this object

Select the point to reflect in...

It's the reflection, so it jumps up here. then it goes like this and then it goes like this.

An object reflected in a point

So you might have something like this where you have a... maybe have a parabola, but it doesn't, it's not symmetric around the y axis and your temptation might be

An object reflected in a line

Select the object to reflect...

And then in the second quadrant it looks like this.

It looks like oh let me try to draw this symmetric.

And the spider's web is for the reins on the horse.

So that's two.

What is all that about?

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

Reflect in this point

Did you know that, in French, one doesn't hear the difference between the symmetry and the asymmetry ?

This length is going to be the same, d1 is is going to be the same, as d2, because everything we're doing is symmetric.

Reflect in this line

You learned about the fact that these are unimodal distributions.

You have all of this business to the right of the y axis.

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

Constructed each plank of gold.

So they explored a more geometric art.

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.

And so we could actually say that since these two triangles are symmetric.

Because it is hard to make symmetry.

You see it already.

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

It's almost like little Sudoku tables.

21 is the closest.

Normally, I wouldn't redo it, but that was just atrocious. y is equal to x squared plus 1 looks something like that.

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

We've been face to face, yeah.

And he said, Dan, what's wrong with you?

Steps toward unification exhibit the simplicity.