Four-Dimensional Space

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Four-Dimensional Space

Postby showmyiq » Tue Sep 25, 2012 9:16 am

If we have four-dimensional variable, how we are going to define it?

I know most of you will say – time. But you are wrong.

Four-dimensional space was discovered by generalizing the rules of three-dimensional space.

If you are in the middle of one empty room, you would say that the distance between the floor and the top is height.
The distance between the left wall and the right wall is weight. The distance between the back wall and the front wall is length.
But what if you turn around yourself by 90 degrees? Then the weight and the length will change their places.
So in fact we are talking about the same thing all the time, but the definition changes depending on our position.
So the definition depends on our point of view.

Those who are familiar with vectors in mathematics can easily make vectors representing four-dimensional space or five-dimensional space or etc.
That’s why the math is so powerful think. We can deal with things and their behavior and in the same time we will not see these things in our life.
The most bizarre issue involves the imagination. We are not able to imagine them either!
Why we are not able to see the four-dimensional space?
Being three-dimensional, we are only able to see the world with our eyes in two dimensions. A four-dimensional being would be able to see the world in three dimensions.

So let’s wait some hundred / thousand years in order our eyes to evolve and maybe we can see in four-dimensions too. Of course something is needed to unlock that, right now I am not sure our bodies need that information.

Anyway,4D example in this video:
This is tesseract rotating in four-dimensional space.
tesseract.gif (687.22 KiB) Viewed 9828 times

I think a good definition of that variable will be depth.
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Re: Four-Dimensional Space

Postby DArk0n3 » Mon Oct 08, 2012 4:06 pm

There were some artists, who were interested in four-dimensional figures. As I recall, Salvador Dali has a painting depicting Jesus Christ's crucifiction on a hypercube's unfolding. That is just one example of how physics can bring inspiration to people of different fields of human activity. Today more and more people are finding the ideas of multiverses, quantum mechanics, dark matter, etc. enchanting and are drawn to their elegance and their beauty.
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