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

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.

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

cubes game

3D Rubik's cube game

And notice I'm going from a space that has two dimensions to a space it has three dimensions, or three components.

My codomain by definition is R3.

sort of... a portal between this reality and the next.

It doesn't work in a universe with four dimensions of space, nor five, nor six.

We have to understand that we are interacting with the forth dimensional reality when we are just activating our third eyes.

Now when we talk about a three dimensional surface it's a three dimensional surface of a four dimensional sphere that means that any of the three dimensions that are over here on the surface, I can only draw two but that means, if this is true, if the Universe is a three dimensional surface of a four dimensional sphere, that means if you go up and if you just keep going up, you'll eventually come back from the bottom.

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

If that angle becomes 0 we end up with a degenerate triangle

a 3D city simulator game

The flux capacitor.

Nearest neighbor works really well for small input spaces like three or four dimensions.

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

It might be possible to have a fairly small uncertainty in 1 dimension, but a huge uncertainty in the other.

All the other values should be zero.

An online multi player platform 2D shooter

Max. viewport dimensions

Insert 2 dimensional vector

So, a one dimensional space is just a line.

So, what about four dimensions?

And five?

Let's say I have Point 2.

The flux capacitor.

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

If you take a pin hole camera you can position the pin hole itself anywhere.

We match their dimensions.

So this R4 means a set of four dimensional vectors.

You don't have to have a parametric equation.

Is Death the 4th Dimension?

First my exwife and now my wifewife.

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.

So for example the point 2, 3, which might be right there, will be mapped to the three dimensional point, it's kind of just drawn as a two dimensional blurb right there, but I think you get the idea, would be mapped to the three dimensional point 5, 1, 6.

When you study the mathematics of string theory, you find that it doesn't work in a universe that just has three dimensions of space.

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

We take this curved 12 dimensional space, and transform it into a flat, four dimensional space.

The new area we added are these rows over here.

Goes to the next element

And I'll write here that h of x1, x2 is equal to so now

And you didn't have to go through that exercise.

Right here, I defined x and v as vectors in R2.

The grounds are our thing is cool and popular, and Harvard Connection is lame.