is it possible for one to be smart enough that he can visualize 4 dimensional space?
355582
As a previous poster mentioned... time is the fourth dimension.  You can easily visualize this when you imagine an object moving in three dimensional space.  The movement represents the fourth dimension.\n\nI think you are asking about a fifth dimension.\n\nPeople have mathematical models for up to eleven dimensions.  I suppose that a person who knew the mathematical models for these dimensions could imagine them visually.
183005
Alot of people pinned down 4 dimensions pretty good, but nobody has explained the dimensions beyond 4 very well, except to say that they exist. Let me take a shot:\n\nOPE did the best job of explaining the first 4 dimensions, I'll summarize and then move into the other ones.\n\n0D: Imagine a point, the smallest little dot with no length. There is only one point in this dimension, 0.\n1D: Imagine a line that can have any length in 1 direction but no length in any other direction. We can describe a point on this line with one coordinate, x.\n2D: Imagine a sheet of paper that is infinitely thin (you hold it sideways you see nothing). We can locate a point on this plane by (x,y).\n3D: This one's easy. You find a point in 3D space by (x,y,z)\n4D: Harder. In 3D, your point cannot change. You cannot move around because in order to change position you need one more dimension, time. For a point to move from one place to another (dx,dy,dz) it requires a change in time (dt). To locate this point now you need to define its position as (x,y,z,t) or else you won't find it. If you imagine your point is a person you want to meet, you would have to be told where in space (x,y,z) they will be and when (t) they will be there, or else you are not guaranteed to find them (unless you both have cell phones).\n5D: The hardest. Go back to 0D (a single point). If we were able to shrink down to the size of this point, instead of seeing a point, we would see a tiny circle. So if you were trying to locate a point in 5D, you could not locate it exactly unless you placed it in (x,y,z,t) and w, it's location on that circle. So you now have (w,x,y,z,t). The radius of this 5th dimension is so small that we can't see it, but we should be able to perceive its effects when our technology improves. It makes a lot of sense mathematically because it explains why we can't explain gravity at tiny (quantum) levels. The math doesn't work unless we add dimensions and wrap strings around them. Note that dimensions 5 and up have a property called compactification. That means that anything operating on the compactified radii of these dimensions moves in a complete circle, always returning to its original position. The radii are so small that we cannot percieve a change in position at all; a particle changing position along one of these dimensions seems to not move to us.\n6D and up: Very hard to imagine. Your point can now be found on two circles. The easier way to think of this is a point on the surface of a sphere, which will give it two coordinates on a tiny round surface (like longitude and latitude on the Earth's surface). Now you can add as many compactified dimensions as mathematics permits given whatever theories you are trying to incorporate. Your compactified radii can be given upper and lower limits to allow them to be plausible.\n\nI saw some people say infinite dimensions and another say 27. The reigning theory has 11 dimensions. 27 dimensions comes from a part of string theory that claims that matter does not exist and that there exists a fantasy particle with very strange properties, called a tachyon. This theory ties in to the most prominent theory, M-theory, which says only 11 dimensions is needed to explain everything.
182923
Yes. But, it's just a personal assumption, although it is an assumption held by the majority of people.\nThe most well known 4 dimensions are best described as width, length, depth and time. The order you list them does not matter, and there could be more - but humans have difficulty relating to more than these 4 (apart from imagining what they are like). The easist way to explain what a dimension is, is to say that you need all 4 to describe where an object is located.... eg, as a real world example I could tell you that I am located in a building at a certain cross-street (=length+width), a certain floor (=height) and at a certain time. You need all 4 dimensional descriptions to find me.\nTime is definitely the hardest of the 4 to properly comprehend. It's hard to think of time as being similar to length or width or height. It is special for sure to us humans, but that is only because our brain operates as a function of time... which means we are fooled into the perception that time 'moves'. Time does not move, no more than 'length' moves. You mind changes with time, just like the slope of a hill changes with height, but there is nothing to suggest that there is a certain special moment called 'now' that is somehow different to 'the future' or 'the past'. Read any scientific article on the topic if you really want to find out more about this 'special' dimension (see source link for an excellent read).
620431
4D is the fourth dimension. Some people think that is time, but those people are idiots. A line is one dimensional, a sheet of paper is two-dimensional, a cube, or anything with volume is three-dimensional. As you can see, a sheet of paper has a right angle in its corner, which if you place the line at the top, the sides are orthogonal(a fancy word for a right angle or perpendicular) to the line. A ream of paper(100 sheets) has a height that is orthogonal to both the top & sides of the paper. The fourth dimension is the next step in this progression, and is orthogonal to all of the previous dimensions. It continues like this, with each dimension being orthoganal to the previous n-1 dimensions.\n\nIt is not possible for most people to visualise 4D, as it exists outside of the realms of our perceptions. I had a math professor who knew someone who claimed to visualize 4D in his mind, but that's as far as it is possible to visualize. It is possible to work with numbers in 6D when talking about vector calculus.
96152
if i am visualizing correctly what you want ,i suspect you will have to build it.aren't you going to waste a lot of space?
35412
Surely 3D graphics may help developing the sense of the third dimension in geometric representations.\n\nNo comment about the negative effects on other sides of some kinds of games.
534038
That question is hard! Nobody has ever been there. Or maybe we all are always there. I don't know. But the different dimensions tell you a position and it is getting more exact with every dimension:\n1D: where x is\n2D: where x and y are\n3D: where x and y and z are\n4D: where x and y and z are and when they are there\n5D: I don't know, but you could think of something that would give a more exact description, such as (this is just an idea that went through my head, not anything from a scientist!):\n5D: where x and y and z are and when they are there and how they are there and then\nDo I make sense? Don't hate me if I don't!
23789
technically, a klein bottle is only realizable in 4 dimensions, so you cannot make a complete physical representation of one in three-dimensional space.  \n\nit can, however be projectively mapped to three dimensions through a mathematical procedure called an immersion, just like a three dimensional object can be mapped to two dimensions when you take a photograph of it.  this three-dimensional projection is what you can see if you do a google image search for 'klein bottle', and physical models can be made.  it's a bit like a three-dimensional moebius strip.  however, these are not a true representation of the object.
894926
THE FOURTH DIMENSION AND ORTHOGONALITY\nA right angle is defined as one quarter of a revolution. Cartesian geometry arbitrarily chooses orthogonal directions through space which means they are at right angles to one another. Three orthogonal dimensions of space are known as, say the length, width and height . The fourth dimension is therefore the direction in space that is right angles to these three observable directions.\n\nFOUR-DIMENSIONAL GEOMETRY\nIn four spatial dimensions, Euclidean geometry provides for a greater variety of shapes to exist than in three dimensions. Just as three-dimensional polyhedrons are spatial enclosures made out of connected two-dimensional faces, the four-dimensional polychorons are enclosures of four-dimensional space made out of three-dimensional cells. Where in three dimensions, there are exactly five regular polyhedrons, or Platonic solids, that can exist, six regular polychorons exist in four dimensions. Five of the six can be interpreted as natural extensions of the Platonic solids, just as the cube, itself a Platonic solid, is a natural extension of the two-dimensional square.\n\nThe pentachoron is constructed out of 5 tetrahedrons for cells and 10 triangular faces, and is the four-dimensional analogue of the tetrahedron. The tesseract, or hypercube, is made out of 8 cubic cells and 24 squares, and is the four-dimensional measure polytope. The tesseract's dual, the 16-cell, is the equivalent of the octahedron, as they are both cross-polytopes.\n\nThe 120-cell and 600-cell are duals of each other, and are analogous to the dodecahedron and icosahedron, respectively. The 24-cell is the unique regular polychoron in that it has no three-dimensional equivalent.\n\nJust as the sphere, or 2-sphere, is a curved two-dimensional surface made up of all points equidistant from a given central point in three-dimensional space, the 3-sphere, a kind of hypersphere, is the space containing all points equidistant to a given central point in four-dimensional space. Every three-dimensional cross section of a 3-sphere is a 2-sphere.\n\nFORTH DIMENSION IN SPIRITUALISM\nFourth dimension or the world of four dimensions A new concept proposed by a turkish spiritualist. The term of “world of four dimensions” used by Bedri Ruhselman (1898-1960), founder of experimental neo-spiritualism, for to designate a world superior than the “world of spirits” called “spatium” by spiritualists. This term not contain a geometrical signification about fourth dimension like three dimensions of space (length (or depth), width, and height). This term means the world of evoluted spirits where there are not the colors and the forms. The world of four dimensions is inexplicable by our human concepts. Our concepts about the time and the space are not enough to conceive the time and the space of this superior world.The most subtle part of “spatium” is in contacte with this superior world. Bedri Ruhselman wrote 7 books. His latest book is not yet published.
70795
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127169
When we are trying to understand many things in the real world, like the design of machinery, or electrical systems, or the weather, we end up with many variables. Examining the system in the space of its variables is very useful; that is, one assigns a dimension to each variable, and draws pictures and analyzes the surfaces and shapes in the space of variables. If there are more than 3 variables, which there usually are, one is in a very high dimensional space.\n\nYou could not solve or analyze very many real world problems without using high dimensional analyses, such as geometry, topology, etc.
690773
First of all, you want to come to grips with the fact that you don't really have an appreciation for 1, 2 or even 3 dimensions. We talk about up, down, left and right as if they were things we could grab onto, but cannot really.\n\nBecause we don't have a way to look at dimensions literally, it becomes a matter of concept and deffinition.\n\nConsider the concept of one dimension. It means merely that something can travel in only one of two directions, either foreward or backwards, but that's all.\n\nIn two dimensions, one gets to travel in 4 directions and combinations of those four.\n\nAbout here, you are probably visualizing what I am talking about, but that is a mistake. We want the concept without the visual because the visual will get us into trouble later.\n\nOk, 3 dimensions? Add two new directions which you can combine with the others to make 6 ways to go and the combinations of those 6.\n\n4 dimensions? Add two more for a total of 8.\n\n5 dimensions? Add another two new directions for a total of 10 ways to travel (along with mixtures of the 10).\n\nSo, what shall we call these directions? Traditionally, the first eight are called left and right, up and down, foreward and back, past and future. The next two we can call thither and yon.\n\nNow, notice that if you always just travel left and right, you can't really know if you are in some larger scheme and just using two of the 10 ways to go. That's the status for us in four dimensions and thinking about 5. We travel actually in 7 directions, because we are always going forward in time. \n\nReally, the only thing that makes additional dimensions hard is trying to visualize them. But you don't really visualize time or 'left' anyhow, so if you can just focus on the meanings that will get you over the hump.
1027189
Yes, of course.\n\nYour brain is like a lot of muscles - if untrained, it works less well.\n\nWith regular training and thinking, especially "thinking around the bend" or "thinking out of the box" you will boost your capacity.\n\nProbably, even with the best training you won't reach the brain capacity of Einstein, but you will notice great improvements.
1059250
yeah surely you can , but ... just you must try hard , not spending all the time in the internet , just go and spend your time on physics !
678784
Whether you have a god-complex or approach it humbly doesn't matter if you don't know your maths and theories. Different people will tackle a complex problem in different way, looking for a possible solution. The right way is dependent on the perosn, but I'd say the characteristics they need are aa combination of intellectual ability, education and a deep curiosity in solving the unknown. Physicists and other scientists are just the ultimate puzzlers!
322523
The fact that we can observe only four dimensions seems obvious, but that doesn't mean that there are not more.\n\nAs an example: the sea as seen from an airplane looks pretty flat and seems to have two dimensions only. But as the airplane looses height, the waves can be distinguished and we see that the see surface in reality is three-dimensional.\n\nThe same might be true for the universe: it could be that more dimensions are present, but we don't see them as they are tiny, too small to observe from our human scale.\n\nTheories that suppose the existences of more dimensions have been proposed.\n \nThey were invented because we are not so happy about the models we use now. For instance, there are four forces in nature. Three of them -electromagnetism, the strong nuclear force and the weak nuclear force- have been combined into one force that has three manifestations at our energy scale.\n \nTo model the fourth force -gravity- Einstein invented general relativity.\n\nThe problem is that both theories are incompatible. Calculations done with them in the region where they overlap, notably when we go back in time to the Big Bang, give different results.\n\nThat is ...embarrassing.\n\nSome of the newer theories, like superstring and M-theory, try to overcome these problems. The price to pay is the assumption of extra dimensions.
1101802
Refering to the four dimensions, I assume you mean three spatial dimensions, and one of time.  This is correct.\n\nString Theory, which is a possible candidate for the Ultimate Theory of the Universe, demands that there actually be ten spatical dimensions!  Four spatial dimensions is impossible for our brains to comprehend and picture let alone ten.  \n\nYou might be wondering why we aren't aware of the extra seven dimensions if they do exist.  The reason: they are curled.  Let me explain what that means.\n\nImagine looking at a clothesline.  From afar, it looks like the clothesline only has two dimenions: you can either go left or right.  Now when you move closer, you are able to see the third dimension of the line, which would allow say an ant to crawl around (up and down) as well as left and right.  You couldn't see that dimension from afar because it is curled up and very small.\n\nThis is the same principle with the other seven dimensions.  They are curled up, and can only be seen if we were able to probe to a small enough distance.  This distance is actually a millionth of a billionth of a billionth of a billionth of a centimeter!  That is way too small for us to be able to see today, and probably for quite some time.\n\nThere are some tricks though for getting a feel for 4 dimensions.  You consider an example that relates 2-D to 3-D, and then apply that to relating 3-D to 4-D.\n\nFor example: imagine a table top is a 2-D Universe, and on that Universe lives a being shaped like a square.  If you were above this 2-D plane and were to talk to the square, he would hear you, but not see you.  If you decided to show him a sphere, would have to pass the sphere through his 2-D Universe.  The only problem is, he wouldn't see the 3-D sphere.  He would see at first a point, followed by a succession of circles that kept growing until you reached the mid-point of the sphere, which would be the biggest circle.  Then as you continued to move the sphere through the plane, he would see a succession of circles that got smaller until he saw a point, and then nothing.  The point is, he would only see cross sections of the sphere, which are circles.  \n\nNow apply that to our Universe.  If a being were in the fourth dimension and tried to pass a hypersphere (a 4-D sphere) through our Universe, we would only be able to see cross sections of that hypersphere.  What would we see?  We would see a succession of 3-D spheres that kept growing, reached the largest size, and then shrunk back down to nothing!  So, the cross section of a 4-D sphere is a 3-D sphere.\n\nHere is another really cool example.  Going back to the square being, let's say he had a safe.  His safe would have four walls, in which one of the walls would act as a door.  It would basically be a hollow square.  Since there are four walls, a 2-D being in that Universe would have no chance at getting any money out of the safe without opening the door.  However, you being in the third dimension above the 2-D plane, could simply reach in and grab the money coming from the top. It would be a complete magic trick to the square.\n\nSimilarily, a 4-D being could reach in our 3-D safe reaching in from the fourth dimension, and take our money without opening the door!\n\nHope that helps.