And three dimensional shapes

It makes a two dimensional image look more three dimensional.

It s truly a three dimensional space.

So it becomes slightly three dimensional.

I couldn't imagine three dimensional space.

It's truly a three dimensional space.

This is a three dimensional machine.

It's still a mapping from a three dimensional, I guess we could call it a three dimensional matrix vector to a three dimensional vector. Each of these are members of R3.

Now, take into account the fact that we live in a three dimensional universe, OK, a three dimensional space.

Well, we take this three dimensional stack of images and treat it as a gigantic three dimensional coloring book.

An amaryllis flower looking really three dimensional.

We could have had three dimensional vectors.

So this is my three dimensional plane.

Freeflying is more the three dimensional skydiving.

So you can basically program any three dimensional shape or one dimensional, two dimensional up into this chain completely passively.

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.

It's a good exercise in three dimensional drawing.

Or you could go into three dimensional art.

Often curves in two dimensional (plane curves) or three dimensional (space curves) Euclidean space are of interest.

And I'll try to make it look three dimensional.

I'm also looking to take my work from the two dimensional form to a more three dimensional form.

We won't go into three dimensional space in geometry class.

And it randomly generates points within a three dimensional matrix.

Every b means all the bs in three dimensional space.

And I started taking pictures with my three dimensional microscopes.

And then a third vector so it's a three dimensional subspace of R4 it's 1, 1, 0, 0, just like that, three dimensional subspace of R4.

In 1746, d Alembert discovered the one dimensional wave equation, and within ten years Euler discovered the three dimensional wave equation.

And we're also translating that into two dimensional systems so flat sheets that can self fold into three dimensional structures.

They can be planar formations, they can be three dimensional formations.

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

and they happen to be each one is a three dimensional

do the linear combinations of the columns fill three dimensional space?

Kind of like how each page of a newspaper is its own two dimensional surface embedded within our three dimensional world.

In functional terms, power is distributed like a three dimensional chess game.

Remember, when it's three dimensional you would kind of cover it up.

Cars are three dimensional objects that have a fixed position and velocity.

Middle board of this three dimensional chess game economic power among states.

So let me see if I can draw a three dimensional cone.

And that three dimensional view is actually much more useful for us.

So it's a deep think about it in a big three dimensional space, very deep three dimensional space with herds of tuna, whales, all kinds of deep sea marine life

So you can actually visit and have this three dimensional fictional experience there.

And now it starts moving in three dimensional space so up or down.

I turn them into two and three dimensional pieces and sculptures and installations.

The musicians played off a three dimensional graph of weather data like this.

I can actually define that three dimensional object as a sequence of bits.