Dimension, First Episode

Dimension, First Episode

                                                                  

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What is the dimension actually? The surface of a sphere is not as flat as a paper, but both are two-dimensional, how is it possible?

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            The dimension is not very unfamiliar with the dimension. We often say that we live in a three-dimensional space (here physical space, place of space). Again, the enthusiasts who read about a little bit relativity will say our spacetime (space-time) quadrant [1]. But what is this level of fact? What is the level? How do we determine the dimension?       

                                    The questions are not easy at all. Even people who are not shuffled with the figure can also easily say that the bottom layer of a paper on the floor is two-dimensional. So the floor is also the top of the table, so also the walls of the house are the same. But the house itself is three-dimensional. On the other hand, a line drawn on paper or a thread is considered one-dimensional. (Although in fact, the thread is three-dimensional, there is an area of its width, no matter how narrow it is, but it is less than the length of the thread. )

                         But the answer to this question is quite strong from our usual idea of "What is the dimension?" If we say length, width, height, which is the size of the measurements, then the length, width, height, what will be the question. These things are in such a way that it is not possible to define the concept of magnitude by only these.

After the discussion, we can understand that the length is only the one-dimensional measurement of an object. Width and height are also the lengths, only on the different side. Again, the area is a two-dimensional measurement and the volume is a three-dimensional measurement. That is to say, what is the length, breadth or height, to properly say that we have to assume the definition of "dimension". So what is the "dimension" to mean, if we use the idea of length, width, or height, then we will fall into the circular logic (somewhat earlier than the eggs before the chickens).

                    Let's talk about the surface of a sphere. The top floor of a ball can be considered for the convenience of thinking. Imagine the thickness of the sphere is empty. What is the level of the amount? It's a little confusing to say which length of a sphere and which width is. But he has a field. So the sphere is two-dimensional, it seems normal and it's okay. But why is not the surface of the sphere to the height? The sphere has its own height. The surface of the sphere looks like a curved, round sphere. But why are we saying that the height is round, not the subsurface of the sphere?

Think of a hollow rubber ball. His hometown, but in some way, is not a two-dimensional plane as if it is not equal to the page can be put on paper. Still, why are you two-dimensional? One argument is that there is no convection even if the ball has a field, so it is not three-dimensional. But there is no thickness of the sphere, but there is no subsurface of the sphere because its height is not known as the sphere, but it is hard to say. And this area of field-factor, at least, shows that this simple example can not only define the dimensions with length, width, height. The area, the cube, the concept of more new things like this.

                      Even so, this normal concept of our dimension will work only for three levels because we ourselves are three-dimensional organisms. It is not possible to see the depth of three dimensions, it can not be seen in the mind. So if we have to create a geometrical figure of more than three dimensions, then our general ideas about the dimensions should be raised in a more complete, flawless way.

If we have to create a geometrical figure of more than three dimensions, then our dimensions have to be raised in a more perfect, flawless way.