They collect millions of points at a time with very high accuracy and very high resolution.

One idea is that our three dimensional universe may be embedded in a high dimensional space, just as you can imagine on these sheets of paper.

The physical values associated with them are observed with high accuracy during night and day.

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.

And that's where I work. I create mathematical objects, symmetrical objects, using Galois' language, in very high dimensional spaces.

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

It's very, very different. And it's a memory of these very high dimensional patterns, like the things that come from your eyes.

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

So accuracy is essential.

Stereochemistry is the study of three dimensional chemistry, as essentially understanding the actual three dimensional structure of things.

It's all very one dimensional.

create scientific 2 dimensional graphs

Accuracy is important in arithmetic.

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

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

(a) A camera for high resolution imaging of the asteroid to obtain a full three dimensional model of the asteroid before and after the Hidalgo impact

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

It s truly a three dimensional space.

This is a three dimensional machine.

So it becomes slightly three dimensional.

And it has incredible, incredible accuracy.

Let's not mistake precision for accuracy.

Freeflying is more the three dimensional skydiving.

It s a thin film, two dimensional existence.

(a) Quality, timeliness and accuracy of advice.

And the power of Galois' mathematical language is it also allows us to create symmetrical objects in the unseen world, beyond the two dimensional, three dimensional, all the way through to the four or five or infinite dimensional space.

But their three dimensional orientation is still different.

Or you could go into three dimensional art.

So it's actually a multi dimensional user interface.

But the conflict was not simply one dimensional.

Richard Feynman compared the accuracy of quantum theories experimental predictions to specifying the width of North America to within one hair's breadth of accuracy.

Now what is the accuracy of those drones?

In fact, they live in a 12 dimensional space.

And she was talking about seven dimensional, inverted universes.

It is this weapon of devastating accuracy and precision.

I remind you of that 90 percent accuracy rate.

And, you know, you can't fault him for accuracy.

I began to doubt the accuracy of his statement.

Data is available but its accuracy is not known.

And basically, the concept is, how do you represent the three dimensional image of the night sky that surrounds us onto a flat, portable, two dimensional surface.

The tube artillery launched carrier shell disperses 49 munitions with a similar sized footprint to the air delivered, 100x200m, and with a high level of accuracy at medium range of around 20km.

This way you can make recursive and multi dimensional arrays.

And it randomly generates points within a three dimensional matrix.

And these patterns of points that I've shown for you actually represent symmetries of this high dimensional object that would be warping and moving and dancing over the space time that we experience.

(a) Quality, accuracy and timeliness of legal advice and support.