I'm not even sure that we all exist on the same plane of consciousness.

So this is my three dimensional plane.

For example one problem with a quadrilateral is that the surface is poorly defined if all four points are not in the same plane.

But what if our world were two dimensional?

Plane

Plane

plane

And then up here would be the intersection of the plane and the top one.

If I were to just flip this over like this, so we're

When you use a mouse, your hand is down here on the mouse pad.

So if my plane looks like this I know it's very hard to read now and you wanted the intersection of this plane, this green plane and the cone I should probably redraw it all, but hopefully you're not getting overwhelmingly confused the intersection would look like this.

And on top of the coral reefs are sand banks.

isosurface

Iso Surface

Flat Map

These are graphs that can be drawn in the plane on a flat piece of paper so that the edges don't cross.

In particular, it could invent things like a curve which fills the plane.

Now I'm going to challenge you. I'm going show you a video.

So that's the plane.

So it goes through point C and it goes through point D and it just keeps on going forever.

So that's interesting.

If this plane is directly perpendicular to the axis of these and this is where the plane goes behind it.

And they never intersect! They never intersect. So they're on the same plane but they never intersect each other.

The area of this figure in furgles square furgles, I should say the area is three square furgles.

Just because Minecraft is flat doesn t mean that the Earth is flat too!

You can t say that the Earth is flat just because Minecraft is flat!

And then the base of it, the base I'll do in magenta will be this plane.

This is a vector field in 2 dimensional space.

Why on earth are they called conic sections?

Now something very interesting.

In stereo vision, we're given two cameras usually both with identical focal length.

I could have a plane like that, or I could have a plane like this,

Max. number of clipping planes

Problem 38.

Let me see if I can draw that.

Shizuoka, one of Japan's prefectures, faces the Pacific Ocean.

You can almost view that I'm pivoting around this point, at the intersection of this point and the plane and the cone.

Six in that first row. And then I have Seven...

The formations can change.

I'm drawing it in such a way that it only intersects this bottom cone and the surface of the plane is parallel to the side of this top cone.

We have a negative x value, our x value is negative, so we're gonna move to the left, we're gonna be on this side.

Hope you get that, right?

Please save us!

Undo.

And we'll talk more about this in R3.