Well because all of the grid like firing patterns have the same axes of symmetry, the same orientations of grid, shown in orange here, it means that the net activity of all of the grid cells in a particular part of the brain should change according to whether we're running along these six directions or running along one of the six directions in between.

Axes

Axes

Axes

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Show Axes

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x Axis

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Major Axis

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Repeaters hubs 15 000 15 225 000

Hubs and repeaters

And so what is symmetry?

Axis line width

Axis line color

So I had a little symmetry.

I'll try to draw some axes.

So let me draw the coordinate axes.

Now, symmetry is almost nature's language.

It is built on the following five strategic themes

Show resolve dialog for the given file

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So let's set up a little coordinate axis here.

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.

It starts with the global hubs.

So if I draw a three dimensional volume kind of axes.

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

Now you can zero return the remaining machine axes

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.

And so it looks a lot like coordinate axes and it is a coordinate axes but instead of having an x and y axis it has a real and imaginary axis so the example of z being a bi we would plot it really as a position vector where we have the real part on the horizontal axis so let's say that this is a.

Let me draw three coordinate axes. So that's my first x axis and y axis, so x and y.

Commodity information reducing asymmetries 9

I should say this.

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