I find it really hard to see 4D in my head.
I would like for someone to explain it with math and theory please
2006-08-13
06:27:34
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8 answers
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asked by
Anonymous
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Science & Mathematics
➔ Physics
4D is fourth dimension you idiot, the direction in space that is right angles to the three observable directions in our dimensions
2006-08-13
06:34:18 ·
update #1
**** you bob b.
2006-08-13
06:35:36 ·
update #2
you guys know nothing about physics, why are you guys trying to answer physics classes if you know nothing about it?
2006-08-13
06:39:41 ·
update #3
Ok, the way I see it in my head (and the 2nd dimension is time, 3rd dimension is width, 4th dimension is depth, so you're asking about 5d) is look at a 3d picture on your computer screen, look very closely and see the little black dots between the light dots that make up the picture you view, that's 5d, each one of those black dots between what you see represents the 5th dimension and the way it intersects our perception, and each dot is a connection to what appears to be another 3d existence, at right angles to our perception so we can't see it. Think of it like a pop-up book, where when you open the pages it makes a 3d representation pop up, but until you open the page it just appears flat to us.
2006-08-13 06:36:41
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answer #1
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answered by Demosthenes&Locke 3
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It's impossible to imagine 4D because you've never seen it before. 4D is simply adding another dimension. Each dimension is perpendicular to all the other 3 dimensions. Meaning the 4th dimension would also be perpendicular to all the 3 dimensions in our universe. This may seem impossible, but look at this example: If you were to draw 2 lines perpendicular to each other on a paper, and try to find a line perpendicular to both of the 2 lines, at first, it seems impossible. But a pencil standing straight up is perpendicular to the 2 lines. Same here, we've only been looking inside our universe, the 4D line sticks out our universe but no section of it is actually in it. The problem here is that we don't have the ability to see 4D objects.
2006-08-13 15:53:29
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answer #2
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answered by Science_Guy 4
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In our universe, the fourth D is time. Time is an entity, not just some abstract thought about the passage of events. Time can be lengthened, for example, by traveling near the speed of light (c).
The other three D's are height, length, and width. For simplification, simply call the combined effect of these three D's space (S).
We can graph Space (S) versus time (t) on an ordinary sheet of graph paper. S would be along the ordinate (y axis) and time (t) would be along the abscissa (x axis).
If you draw a straight line from the origin of the graph (where the S axis and the t axis intersect) to some point out in the graph away from the origin, the slope of that line represents velocity. That is v = (S1 - S0)/(t1 - t0); where the two S's and two t's are different points in space and time on the graph, e.g., S0 and t0 are space and time at the origin.
Thus, we can not only see that fourth dimension, we can also use it (to calculate velocity for example). We were able to do this because we were able to collapse 4D down into 2D, the graph paper. That is a trick of physcists who describe 11D space, for example, they collapse it into something we can visualize.
2006-08-13 13:51:47
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answer #3
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answered by oldprof 7
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After years of seeing in 2-D and using visual cues to deduce 3-D, your brain is quite unequipped to see in 4-D. That said, any extra degree of freedom can be seen as a 4th dimension. The mathematician Henri Poicare suggested putting on strange goggles which broke up some of the sensations of 3-D vision into independent parts to train the brain to see in a 4th dimension.
I myself just try to look at projections--shadows, if you will-of 4-D objects in 3-D (wire models) or even in 2-D (line drawings). The angles of course are distorted--this happens with all projections--but the connectivity is preserved. This is probably the best you can do and remain sane & functional in the world.
Analogy helps a lot--if you can identify a patters for a certain class of shapes which changes regularly with dimension, this give a lot of insight. For example, try to complete this chart for the set of "cube-like" shapes.
1-D: Line segment--2 endpoints, 1 edge
2-D: Square--4 endpoints, 4 edges, 1 face
3-D: Cube--8 endpoints, 12 edges, 6 faces, 1 volume
4-D: Hypercube or tesseract--???
hint: how many points should there be? how many edges meet at each point of the tesseract?
or this chart for "tetrahedron-like shapes"
1-D: Segment: 2 endpoints, 1 edge
2-D: Equilateral triangle: 3 endpoints, 3 edges, 1 face
3-D: Regular tetrahedron: 4 endpoints, 4 edges, 4 faces, 1 volume
4-D: Hypertetrahedron: ???
2006-08-13 17:02:32
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answer #4
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answered by Benjamin N 4
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4D is something very difficult to visualize. Draw a set of 3D axis, x, y, and z. Draw a line from the origin to a point P(x,y,z) on your axis. from point P, draw another set of axis, a and b, where line OP is the third axis, all at 90 degrees to one another. These next to axis, a and b, could be considered a fourth and fifth dimension. If you do not directly relate any points in the second set of axis to the first, except through line OP.
2006-08-13 13:46:56
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answer #5
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answered by Paul W 2
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Describing 4d is somewhat like drawing 3d on a sheet of paper.
2006-08-13 14:36:51
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answer #6
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answered by STEVEN F 7
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You 4d sucks! What is 4d! Heard about english! You shoud get an abuse for shortcutting words like that!
2006-08-13 13:32:04
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answer #7
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answered by Jerdy 5
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its tight at six flag they got 4d sponge bob
it looks like the fish right in front of you
plz vote me best answer
2006-08-13 13:34:22
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answer #8
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answered by Anonymous
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