| Site Information | |||||||||||
| Site Title: | 4d explained | ||||||||||
| Site Domain: | youguysaredumb.ytmnd.com | ||||||||||
| Created by: | spazdor | ||||||||||
| Created on: | 2006-09-04 04:11:55 | ||||||||||
| Image Origin: | made it myself | ||||||||||
| Sound Origin: | a spazdor original | ||||||||||
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| Total Votes: | 724 | ||||||||||
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1 | 2
| What does this have to do with Steve? | ||||||
| but of course | ||||||
| That's actually pretty awesome. I'm waiting for a classical music fad to hit so that I can lay some knowledge down. | ||||||
| SCREAMER! | ||||||
| my vote, even tho everything ive just seen is true, can normally be represented by a single line... 1'd | ||||||
| Except you fail, because a correct '1' is three lines, not one. | ||||||
| i said normally u noob if u were writing on a piece of paper u would not draw 3 lines plz think b4 speaking i said normally | ||||||
| so basically your trying to tell us that w= 0. | ||||||
| I DID NOT LOL.
:D | ||||||
| What you have there is a mix of Y and X still. Its not a 4D object just as an image of a "3D object" isnt one untill physical. Unless you are trying for an artists impression but then you could draw it as anything =P | ||||||
| I have always had an easy time understand and seeing both with 'lines' and geometry a 4D shape. What I fail to understand is what relevance can this have in the super powers of reality. Easily enough, what would a 4 dimensional anything look like, if at all possible in a conceivable physical. Does this like the drawn 2nd Dimension have only a place on paper? hahaha. | ||||||
| very informational :D | ||||||
| "so basically your trying to tell us that w= 0." Please explain what you mean. | ||||||
| im sry i cant subscribe to this. im sticking with the 4th dimension being time. |
-1 | |||||
| This isn't so much a YTMND as a product of frustration courtesy of all the misinformation that came before it. Kind of cool. | ||||||
| dimensions + 1 = vote | ||||||
| Yo WTF, I want a response. | ||||||
| cassio: Giving people a more intuitive understanding of 4-dimensional geometry gives them an advantage if they start learning either a) relativistic physics, in which you think in terms of spacetime as a united 4d manifold, or b) mathematical analysis. multidimensional models are very important for putting together statistical models. The visual interpretation is not something you'll ever manage to perceive with a real 4d object, but it helps to get your brain thinking in the right mode. | ||||||
| We see three-dimensionally, unless you're blind in one eye. Unless you're talking about what we're perceiving at any given instance, and not what we're constantly perceiving. | ||||||
| any given instant* | ||||||
| Meh, my wording was unclear there. What I meant is... unless you're talking about the image after our brains combine two images from both of our eyes in a given instant into one image. Anyway, not an important part. It just stuck out to me :P. | ||||||
| I still can't see them in my head, but I've always known they were real. But thanks for trying. | ||||||
| "We see three-dimensionally, unless you're blind in one eye" - you don't actually see 3-d with 2 eyes. You see two slightly different 2d images, and your brain extrapolates 3d data from the difference between the two. | ||||||
| Now do a 5D object. :-D |
+1 | |||||
| Looks like I spoke too soon. You're right in that case. ;) | ||||||
| all the explanation in the world won't change the fact that 4-dimensional objects quite simply can't exist. Still, a good explanation. |
-1 | |||||
| you learn something new everyday
| ||||||
| 4d. Haha, get it? |
+2 | |||||
| ohhhhh reginald..... I DISAGREE! on a 2-d space, the third dimension is imagined. while the attempt at 4-d was just, it simply cannot be done in 2 dimensions |
-1 | |||||
| syncan: lolz | ||||||
| |||||||
| OMG INCREDIBLE! I got like 2 full pages of scroll before the first person who 1'd it with a completely inane comment about the difference between 2d and 4d. my work here is complete. | ||||||
| i hope you die and burn in hell |
-2 | |||||
| Z= .5Y+.5X as a projected 2D image; It's not REALLY that, so your whole subsitution for W is wrong. In that case, W isn't even a new dimension, is just another projected vector. | ||||||
| "W isn't even a new dimension, is
just another projected vector." Yes. Just like Z. NEITHER OF THESE VECTORS CAN POSSIBLY BE SHOWN ORTHOGONALLY ON A 2D SCREEN. |
+1 | |||||
| I thought that the 4th dimention was something like time or space |
-1 | |||||
| So what happens when you stand in the middle of a railroad track? Is Z the left rail and W the right when you project them onto a screen? | ||||||
| I know math dammit, I don't need it preached to me. | ||||||
| Hey, thanks very much! I understood it and enjoyed learning! | ||||||
| 5'd though for an attempt to teach ignorami. Project gravity in 11-dimensions next/explain string theory. | ||||||
| "The Owly1" is right. | ||||||
| I'll steal this for a school project some day | ||||||
| "So what happens when you stand in the middle of a railroad track..." The effect you see when standing in a railroad track doesn't happen at all in "projected" views. It happens only when using proper vanishing-point perspective.
This image uses isometric perspective, in which parallel lines remain parallel rather than meeting at a vanishing point. | ||||||
| I don't have the attention span to watch this entire thing. | ||||||
| It doesn't seem like it, but I actually 4d your ytmnd. | ||||||
| It is pretty obvious actually. Thanks for breaking down the Hyper Cube though. | ||||||
| By changing x into a negetive, you prove nothing!!! The 4D can be experienced as a 3D world with movement or a 4D without. It is considered that there are multiple layers to the fourth, ergo there would be much more and it would be even more confusing. | ||||||
| yes that is a 4-d object but a 4-d object is 1.impossible to see with the human eye and 2.impossible to entirly represent on a 2d plane so your end result ends up looking like a hexigonial prism | ||||||
| CaptainChu: WTF are you talking about? Feel free to downvote but at least have something coherent to say. | ||||||
| DOESNT ANY1 CATCH THE IRONY? HE THORWS LOADS OF EQUATIONS IN HIS YTMND. AND STILL CANT FIGURE OUT HOW TO STOP FAD WHORING. | ||||||
| thank f*ck someone explained it at last. I can go all the way up to 5 dimensions on a 2d projection, and it's easy to make a 4 dimensional model as a 3d projection using wires. | ||||||
| so could the lines connecting the two cubes in the hypercube be thought of as representing time, and that the two cubes are the same cube at different points along the timeline of the cube's 3-dimensional universe? because i heard somewhere that time can be thought of as the fourth dimension. | ||||||
| Well played. | ||||||
| TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE TIME CUBE | ||||||
| 5'd for interesting and proper slideshow ending | ||||||
| I was really hoping for NEDM... | ||||||
| Okay, so mathematically and geometrically it is possible to represent four-dimensional objects.
That still doesn't mean they actually exist. Hell, let's go crazy and put two more axes on there, and talk about six-dimensional objects like they actually exist, too. It'll be a good time! | ||||||
| interesting and informative, i think there should be more ytmnd's that expand our combined knowledge base. also c*cks. | ||||||
| Owly1 wins. 3d means three dimensions, vertical, horizontal, and depth. the 4d object doesn't have any more dimensions than the 3d does, it just has a more complex shape. In essence it's just a really fancy 3d object. | ||||||
| If that doesn't convince you, try making your 4-d object in a 3-d modeling program. You can do it rather easily. Why is this? because it's really just a 3d object :P | ||||||
| Slow it down a bit. | ||||||
| even though I hate geometry, this explanation is great. But in terms of existance, I'm going to save some keystrokes and agree with Kaisharga. | ||||||
| ouch! teh maths! j/k, this was actually pretty cool (I never got beyond algebra 1 in school), and now actually understand what you were explaining. 5'd | ||||||
| intelligence works! | ||||||
| 4d doesnt exist, game over, good day sir | ||||||
| i woulda 5'd yeh.. but -1 for making me learn on my last day of summer, gj otherwise
| ||||||
| Hypercube FTW | ||||||
| The 4th dimention is time, you show 3D and 4D objects in your pictures, 2D is a line, and 1D is impossible to represent. So fnar. |
-1 | |||||
| Um, time is the 4th dimension. Are you trying to represent time dimensionally (on a 'w' axis')? |
-1 | |||||
| http://en.wikipedia.org/wiki/World_line | ||||||
| no room on YTMND for math | ||||||
| 5'd | ||||||
| Thank you for bringing something intelligent to ytmnd. | ||||||
| you made this music? I like it. Got any more? | ||||||
| It's difficult to explain 4D, especially in 2D, because it's not something that people are used to seeing, and since people don't think, they can't imagine it. 5'd for effort though. | ||||||
| Oh to the idiots...The 4th dimension isn't f*cking time. Get educated before you start saying bullsh*t you heard off of a TV show. |
+1 | |||||
| Brain... hurt... ah... *asplodes* | ||||||
| Yay hypercube. | ||||||
| I wonder what he'll learn in math class tomorrow to come home and pretend he knew all along! | ||||||
| =] | ||||||
| Ow, my brain. | ||||||
| I like justifying my time spent on YTMND with submissions like this one where I actually do learn something new and relevant. Thank You. | ||||||
| |||||||
| For effort | ||||||
| Dude, don't go apes**t because few people here (including myself) understand all the intricicies of 4-dimentional geometry. 3'd for calling me a f*****g idiot. | ||||||
| UBER WIN | ||||||
| I'm surprised "youguysaredumb.ytmnd.com" wasn't already taken | ||||||
| 3'd for trying way to hard to prove a point that really doesn't matter. | ||||||
| 5 because I am taking geometry.
I might need this stuff! | ||||||
| Your w-axis can still be represented by cartesian coordinates in 3 dimensions. So really all you've created is a vector in the -x,y, and z direction. Try again smartass. | ||||||
| haha upvoted | ||||||
| And I understand what you're saying about a screen only allowing 2-D. However, in our universe at least, there are only 3 dimensions of space. Your argument makes no sense to anyone with a half decent education, and more importantly common sense. I also like how you're so smug in thinking that you're right too. Get a clue. | ||||||
| einstien jr. =) | ||||||
| people arguing with him just for the sake of arguing.
good job spazdor | ||||||
| Excellent explanation. | ||||||
| It is a good explanation of how to DRAW 4d objects without going into an explantion of what 4d objects actually are. | ||||||
| Everything in our existence can be represented in height, width, & depth. So, the 4th dimension isn't another axis, it's time. | ||||||
| http://en.wikipedia.org/wiki/Fourth_dimension
Here is the wiki article on fourth dimension. Notice that nowhere does it mention time. The conjoining points of the two cubes exist simoteanously and in the exact same place in the third dimension, but not in the fourth. This would be a 4D object, which we cannot create yet. Wormholes may be an example of a natural 4D object. | ||||||
| I completly understand this, but only because I am an artist and I know the basis of perspective. :/ | ||||||
| I cant believe I watched the whole thing.... | ||||||
| |||||||
| 2 + 2 = 4. Beat that, bitch! | ||||||
| also, I love how you are getting pwned by people who actually know geometry (which wouldn't include myself) | ||||||
| math = 1'd | ||||||
| I grasp the concept just fine, but this site still sucks ass, just like all the other 4-D sites. | ||||||
| Actually, what happens when you stand in the middle of a train track and look down the line isn't parallel at all, its actually OH SH*T DEAD. | ||||||
| I agree, A wrinkle in time did bad things to geometry. | ||||||
| The More You Know. | ||||||
| Good show | ||||||
| thats still 3d | ||||||
| the best part of this ytmnd is the downvoters who think they understand this better than you do. | ||||||
| Im hoping this is a joke site. Cause surely your not so stupid to actually think thats correct. | ||||||
| nedm? | ||||||
| -4 for 4D | ||||||
| Wow a lot of people here are f*cking idiots that get their "facts" from sci fi movies. | ||||||
| 4'D. But thanks I liked it. | ||||||
| I'll add another dimension to my vote. | ||||||
| Oh and the "impossible to represent on a 2D plane" guys are the dumbest. A 4D object is about as representable on a 2d plane as a 3d object. Like it said in the ytmnd (and this is a long known fact) the 3D obects are on a 2D surface. | ||||||
| 4'd, -1 because you are quite clearly being a total smartass. Also, I just wanted to say "4'd" on a ytnd about 4D :-) | ||||||
| Finally, LunaresAeran, the time theory is in the disambiguation. | ||||||
| I see. I don't like downvoters, and I think they're missing that this is just a normal "representation" of 4D, not actually 4D. "Also c*cks" ftw. | ||||||
| I see what ya did thare | ||||||
| In our universe, there are three or four dimensions, depending on whether or not you count time as a dimension. This does not prevent us from projecting from four dimensions into two dimensions, just as the fact that Newton was probably wrong about how the universe works doesn't prevent us from talking about and simulating Newtonian physics. | ||||||
| Um guys... "time" itself is not the 4th dimension. Just because it said that in the preview for the Blinx game for Xbox doesn't mean it's true. It's much more complicated. also 5'd | ||||||
| That wasn't directed toward you, ihope127 | ||||||
| why didn't you use a right-handed coordinate system? | ||||||
| These neve get old | ||||||
| i see what you did there | ||||||
| I would rather get my math from YTMND | ||||||
| this is good | ||||||
| WIN FOR EDUCATION | ||||||
| On ytmnd.com, we are artists, not mathmaticians. | ||||||
| if the 4th dimension is time, how exactly can you make that a point? time keeps moving, lol. | ||||||
| 5 for url | ||||||
| No loling here, just gay. | ||||||
| cool, still dont get it tho, five for good job | ||||||
| Excellent. | ||||||
| haha | ||||||
| Isn't the Sound from Eve Online? | ||||||
| I was expecting NEDM. Fail. | ||||||
| lol, nerd | ||||||
| http://en.wikipedia.org/wiki/Hypercube
the downvoters are probably people who think imaginary numbers are any less real than any real numbers and can't pass high school math | ||||||
| leetsauce! | ||||||
| I downvoted the 4-D ytmnds because they weren't funny. | ||||||
| Your vote, by Baron. 1. | ||||||
| trying to represent 4D in a way that is comfortable for the mentally challenged | ||||||
| The thing is, the object described can be made in full 3-D and there is nothing wierd about it... I just dont get it :P | ||||||
| YAY MATH | ||||||
| too bad I don't know what the f*ck you're saying | ||||||
| also blocks | ||||||
| i hate math | ||||||
| WIN!! Us seeing a 4th dimensional object would be like a 2D object seeing a 3D object, impossible for the 2D object to comprehend. Read flatland | ||||||
| but every point in that shape you made can be expressed as (x, y, z). if you included the negative sides of your axis' you'd see that the w axis was just a rotated version of the z axis you drew. the 4th dimension is time, k? | ||||||
| also even if the 4th dimension exists theoretically it's like the square root of one, it simply doesn't exist. therefore there can be no "4d objects" | ||||||
| I see what you did there, you added Also C*cks so the masses don't Downvote :-P | ||||||
| Wow, education on the internet was never this much fun! :D | ||||||
| lol geometry is for f*gs | ||||||
| 5'd for comments section. | ||||||
| 4d fad needs to die | ||||||
| needs NEDM. "4'd" | ||||||
| sarsamis w is 90 decrees of from z. not opposite of it. Did you even watch the ytmnd? For it to be -z in 3 demensions, it would have to point to the bottom left, not top left. | ||||||
| NEver knew. Thank you. | ||||||
| really good | ||||||
| 5'd for the comments. Apparently being able to imagine the 4th dimension is only for people with an above average IQ, and it's apparent who doesn't have such a mind among us. | ||||||
| I DON'T KNOW ANYTHING ABOUT GEOMETRY. | ||||||
| I dont understand still. | ||||||
| Even if time were a dimension, it would be a 'fifth' dimension in four-dimensional space. This YTMND ignores time, and focuses on space. In theorey you can imagine as many spatial dimensions as you want. A five-dimensional cube would be one of those hypercubes (or a tesseract) projected in ANOTHER direction. Going on about time is senseless. | ||||||
| You did in a few slides what it took Rudy Rucker 300+ pages to do. 5'd. | ||||||
| What is this math class? | ||||||
| You handed those arses a nice cup of ownage. 4D 4eva | ||||||
| Music FTW. Also very informative. | ||||||
| just a bunch of cubes stuck together. | ||||||
| my head asplode | ||||||
| LOL BASIC MATH FOR NUBZ | ||||||
| I'm a genius now!! | ||||||
| unaidedcoder, think of the x, y, and z axis' as they would actually appear in a 3d space. also consider the planes that each axis creates. draw any line starting from the origin 90 degrees from z and you'll see that line is already defined with (x,y). and any point in that cube thing can be defined as (x,y,z). | ||||||
| neds more nedm | ||||||
| a better epxlaination ********* here: http://www.tenthdimension.com/flash2.php ******************* | ||||||
| SCVHEET | ||||||
| Very Nice | ||||||
| tnx mate. | ||||||
| Dude, w is to z as x is to y. That's the point. You are working on the rationalization that you cannot have a natural 4D object. You cannot see a 4D object in the 3D way of thinking you are using, like how yu cannot see a 2D object in 3D properly. | ||||||
| Fail. Not only are X,Y, and Z incorrectly definited (The way you have it would be like flipping x and y on a 2-d graph) but W is just another aspect of the Z plane. You're not making anything that can't be described by (x,y,z) | ||||||
| my head just asploded | ||||||
| LOL EDUCATION | ||||||
| 1 for thinking you are smarter than others because you took high school geometry. Also slideshow. | ||||||
| needs nedm | ||||||
| I'm enlightened to I'm also instructed against applying it | ||||||
| Ok, explanation FOR DUMMIES... in the same way he created a 3rd dimension in the 2D image using a PROJECTION of the Z onto the X, Y plane of (0.5, 0.5).. oh I give up, if this ytmnd didn't explain it, nothing will. | ||||||
| lol. also c*cks | ||||||
| Well sarsamis, you are right. To make the 4d object physically real is impossible, as you cannot make another right-angle at the points of the 3d cube. You need to imagine it as a 4d projection onto 3d, much like the 3d projection to 2d done initially for the cube. | ||||||
| i understand that a 4d object can theorretically exist. it's just that spazdor's explanation of it isn't very good, when a square is projected depth is aded to what was once a 2d object. but when a cube is projected in that same manner then you are just adding onto already defined dimensions. | ||||||
| the 4th dimenson is usualy considered to be time since after you define a point by its legth from the origin, its height from the origin, and its depth from the origin then duration is seemingly the only thing that can further define that object. | ||||||
| 5'd. Reasoning: I actually have a better understanding of the term 'hypercube', and as well a fourth-demension representation on a two dementional surface. As well, you get 5 for "also, c*cks" and "i hate you all" in keywords. | ||||||
| this is a decent site though, i wouldn't have 1'd it if it didn't say "for you f*cking idiots". | ||||||
| doesnt need any dm?
lol, bad pun.... | ||||||
| Makes perfect sense to me. love the site spazdor. | ||||||
| Finally. The movie for stargate does a good job of explaining this, too. | ||||||
| Thats some next level sh*t....yo I think you just created a new fact right there. also, c*cks. | ||||||
| Lacks NEDM :( | ||||||
| Steve Irwin wouldnt want it this way | ||||||
| NIce job spazdor for proving how stupid downvoters are. Also, c*cks. | ||||||
| Educational! | ||||||
| gamecube? | ||||||
| Yay for Spazdor! | ||||||
| Attension sarsamis: I don't know about you, but *I* am a four dimensional object. There's no theoreticality about me. I existed, I exist, and I'm optimistic that I'll continue to exist. | ||||||
| Also. attention Venginator: Z is an axis, not a plane. | ||||||
| I downvote this, not because it's wrong (it's the closest we've come on YTMND to being right), but because there is no NEDM. | ||||||
| Needs nedm | ||||||
| Make a hypercube for me and send it to me in the mail and ill give you three dimensions more | ||||||
| anyone who votes less than 3 is too unintellegent to understand it. |
+1 | |||||
| that hurt my brain | ||||||
| secret nazi geometry! | ||||||
| x,y,and z are all perpendicular to one another and parallel to none. Make your 4th axis do that, and then you're not the real idiot. ;) | ||||||
| Man some of you sure are dumb. | ||||||
| Bonne explication. | ||||||
| another ytmnd breakthrough | ||||||
| I kept expecting secret Nazi... 5 cause it was all true. | ||||||
| +5 for being right and sencible, -1 for trying to do this with abunch of retards | ||||||
| Whoa! slow down! My brain needs to callibrate. Okay, I understand now. NEDM is the centre of all 4d objects. | ||||||
| but the z-plane is not diagonal in relation to the x and y planes, it is entirely exclusive...if the x line extends right to left across the computer monitor, and the y axis extends vetically across the monitor, then the z axis is perpendicular to the x-y plane, not diagonal... | ||||||
| Whoa. | ||||||
| I was waiting for a NEDM! also lol | ||||||
| all i see is lines. | ||||||
| I'd comment, but baconquest pretty much said what I wanted to. | ||||||
| If anybody was looking for an actual reason to hate this site, look at all the 5s on this peice of sh*t. I know your nerds and everything but this ytmnd.com is not serious. | ||||||
| :) | ||||||
| NEDM is the 4th dimension. You are dumb! Nah jk the real reason you are dumb is because you have yet to explain that you are speaking about spatial dimensions and technically time is the 4th dimension and the 4th spatial dimension would be the 5th. kthxbaidumbass everyonefails.ytmnd.com | ||||||
| I think it's funny that some ytmnder are saying the fourth dimension is time when you are actually talking about the fourth spacial dimension. Anyway I think if that is what the fourth dimension was that would mean that(In real life, not on paper) it is just a combination of x, y, and z. | ||||||
| :O | ||||||
| ok | ||||||
| you wanna see in 4d? Expand your head size and grow 2 more eyes | ||||||
| you f*ckin fail at life if you think anybody cares XD here's your 1 | ||||||
| needs some NEDM badly. | ||||||
| lol lines | ||||||
| dude you are so gay | ||||||
| now help me with my calculus homework... F of x = x^2 so find the equations of the two lines that are tangent to F(x) that pass through 1,-3 i dunno how to do it :( | ||||||
| i`m still on the first part but I like it... | ||||||
| 5, because of all the bigot downvoters. Most of them should be slapped for stupidity. | ||||||
| i had 4d sex once | ||||||
| Ok, first we take the derivative of F(x), which is F'(x) = 2x.
So now, we construct an equation for the slope of the line from a given point on F(x) to the point (1,-3). Since the Y value is F(x), which is x^2, the 'rise' component of that slope is going to be x^2 + 3. The 'run' component is super easy - run is just x - 1.
So, the formula G(x) = (x^2 + 3) / (x - 1) gives the slope of a line through that point on the graph, and through (1, -3). | ||||||
| munka: Now equate that function with your derivative, and we find where those tangent points are.
F'(x) = G(x), so that means 2x = (x^2 + 3)/(x - 1). Solve for x, and you have your tangent points. Amirite? | ||||||
| Ok, fine. Now explain the 5th Dimension. I know Superman's enemy- Mr Myxzptlk lives there. But why does he look like a human midget with a purple bowler hat, and why does it interface with Earth every 90 days, and why does his saying his name backwards send him back? Explain that to me, smart guy. | ||||||
| I'm guessing that the only way someone on ytmnd was patient enough to explain something as "complicated" as this would be because spazdor was either allowed to fold through a line in the sixth dimension from one point in the fifth dimension to another (from a non lazy ytmnd to this one) point in the fifth dimension, or he folded through a line in the ninth dimension to reach a completely different point in the eighth dimension. | ||||||
| Then again, I sucks c*cks. lololol. | ||||||
| sweet... i had to read that like 7 times to get it. | ||||||
| If you were really smart, you'd realize this sucks as a ytmnd. If I want to read about irrelevant math, I'll read it in a text format. |
-1 | |||||
| BUSH IS GAY. we need more math ytmnds. | ||||||
| thanks for explaining. math ftw. | ||||||
1 | 2
