Stephen Hawking Quotes

I've got a real sense of three-dimensional geometry. I can look at a flat piece of fabric and know that if I put a slit in it and make some fabric travel around a square, then when you lift it up it will drape in a certain way, and I can feel how that will happen.

To grasp the essence of chirality, it is instructive to withdraw for a moment from the familiar three-dimensional world into a two-dimensional one, into a plane, and enquire what chirality means there.

I didn't discover curves; I only uncovered them.

Space is absolutely a 3-D world in comparison to our 2-D world on Earth.

Speaking of ways, pet, by the way, there is such a thing as a tesseract.

To deal with a 14-dimensional space, visualize a 3-D space and say 'fourteen' to yourself very loudly. Everyone does it.

I have an infamously low capacity for visualizing relationships, which made the study of geometry and all subjects derived from it impossible for me.

Equations are just the boring part of mathematics. I attempt to see things in terms of geometry.

What we call three dimensional space, and what we call the imagination actually have a contiguous and continuous transformation from one into the other, ... and THIS is big news!

There is something I feel when I animate something; you can never really understand the character you're animating unless you've had the opportunity to turn it around. Once you've done that, you know it is a three-dimensional object.

Being able to draw means being able to put things in believable space. People who don't draw very well can't do that.

I think I understand something about space. I think the job of a sculptor is spatial as much as it is to do with form.

I've always been passionate about geometry and the study of three-dimensional forms.

Many objects of our three-dimensional perceptual world are not only chiral but appear in nature in two versions, related at least ideally, as a chiral object and its mirror image.

For an object under the eye will appear very different from the same object placed above it; in an inclosed space, very different from the same in an open space.

Evolution has ensured that our brains just aren't equipped to visualise 11 dimensions directly. However, from a purely mathematical point of view it's just as easy to think in 11 dimensions, as it is to think in three or four.

Why is there space rather than no space? Why is space three-dimensional? Why is space big? We have a lot of room to move around in. How come it's not tiny? We have no consensus about these things. We're still exploring them.

I've always had a more spatial mind, mathematical, than literal.

Sculpture occupies the same space as your body.

I see lines of space. I break things down into lines and space, and I balance.

Most architects think in drawings, or did think in drawings; today, they think on the computer monitor. I always tried to think three dimensionally. The interior eye of the brain should be not flat but three dimensional so that everything is an object in space. We are not living in a two-dimensional world.

For the wise man looks into space and he knows there is no limited dimensions.

Our universe - it's three-dimensional, but we can pretend it's two-dimensional so it's like this sheet of paper - and we live in Pasadena over here and London is over there, and it's thousands of miles from Pasadena to London.

Algebras deal not with laws of number, but with such laws of the human thinking machinery as have been discovered in the course of investigations on numbers. Plane geometry deals with such laws of thought as were discovered by men intent on finding out how to measure surface; and solid geometry with such additional laws of thought as were discovered when men began to extend geometry into three dimensions.

I've always had a great feel for space and how objects occupy it.