This is what we've generated.

3D Rubik's cube game

a 3D city simulator game

Let's say that a hypersphere is the 4D equivalent of a 3D sphere.

We plan in 2D and use the 2D planning result as a heuristic for the 3D planner.

Specifically, each camera position is a 6D unknown about the rotation and translation of the camera, and each point itself has a 3D coordinate.

The second heuristic we're using looks at the 3D problem but without obstacles.

like a piece of paper.

So if we move back, this is a two dimensional typical tree of life.

They don't fall over. They don't fall.

If you take the intersection of that plane and that cone and in future videos, and you don't do this in your algebra two class.

Galaxies seem to fit all over this particular family of profiles.

Let me draw them for you just so you can visualize it.

Most of life on earth is in that inner atmosphere.

I would make a tetrahedron.

The only component we could observe for it would be due to the radial expansion of the universe.

like in projection to the super galactic plane.

pull out to aerial view and triangulate.

It gets us the value function, and it gets us the policy action.

Revert timing

Using this technology, this is mapping in three dimensions.

I went on to freeflying.

Simply a threedimensional image, commander.

Well here's the late, great Jerry Andrus'

Is there anything else you want me to look at?

Play 3d chess with reflection of the chessmen

So if we were to label our axis here, so think in three dimensions.

But for area we got square meters, because we're counting these two dimensional measurements.

This is the way we should be going into the oceans.

This is a sphere. You can view it as a globe of some kind.

And I saw, Aha! That's the kidney and the psoas muscle.

Once the hapless square comes to terms with the third dimension, he begs his host to help him visit the fourth and higher dimensions, but the sphere bristles at the mere suggestion of dimensions higher than three and exiles the square back to Flatland.

This becomes now a 2 dimensional problem, and by going from 3 dimensions to 2 dimensions, we can solve the entire problem in no time.

Dragons

literally counting each of the square meters.

Nothing lights up the brain like play.

Cubic

I don't know, I just don't know how to plot all of these data, right cuz I need

Beyond it is another dimension a dimension of sound... a dimension of sight... a dimension of mind.

And you can see it sort of has this bow like shape.

It's A transpose times B times A that you subtract from the remaining omega prime, and the same for C over here.

And the Phoenix Islands is very rich in those seamounts.

All I do now is run the policy.

They float freely in three dimensions without any forces acting on them.

So now I'm going to show you a number of projects that we've built, from one dimensional, two dimensional, three dimensional and even four dimensional systems.