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See 4-D Space With 3-D Glasses
purpleant writes: "A hyperplane is a 3-dimensional space that slices through the 4-dimensional space, the same way a 2-dimensional plane can slice through our 3-dimensional space. The bounding hyperplanes can be extended infinitely so that they criss-cross through each other, chopping up hyperspace into many 4-dimensional 'chunks.' Again the inner chunks are finite, and they are distributed in shells around the core polytope. The
HyperStar applet displays those finite chunks, one shell at a time. The inner shells are complete -- each shell completely encases the previous shell. The outermost shells have holes in them."
FE:So, what's the closest you ever came to experiencing the fourth dimension?
Rucker: Well, there was this one time, we'd been partying all night, and I wanted to get a little higher. We were almost out of drugs, but I did have some acid. So I took it, but then I fell asleep. And when I woke up...
FE: Oh, I've been there. That's the fourth dimension?
so it's 5 am monday morning on the east coast and i decide to check out slashdot before going to bed for 4 hours of shuteye before work tomorrow (don't ask, crazy weekend). i am bleary eyed, brain dead, exhausted.
;-P
and i read "The bounding hyperplanes can be extended infinitely so that they criss-cross through each other, chopping up hyperspace into many 4-dimensional 'chunks.' Again the inner chunks are finite, and they are distributed in shells around the core polytope."
dudes! my functional iq right now is about 50! if you are going to post these kind of stories on slashdot, could you PLEASE post them around, say 3pm on a thursday? thanks
i should be awake by then, and i promise i will come back and try to wrap my mind around this story at that time... grumble, grumble
intellectual property law is philosophically incoherent. it is your moral duty to ignore it or sabotage it
Step 1: Make cool applet with shapes and colors. .....
Step 2: Explain shapes and colors with big words and things nobody knows anything about ie: hyperplanes, polytopes, and the fourth dimension
Step 3:
Step 4: Profit!!
I'm a minister!
It's one of those OpenGL Windows 95 screensavers! :) Why didn't you just say so?
"Again the inner chunks are finite, and they are distributed in shells around the core polytope."
uhh yeah, but it all depends on the capacitive current getting to the space modulator
come on, lets do a thorough reporting job. You didnt even mention the fucking space modulator.
Looking directly at four-dimensional stereograms can *really* screw up your eyes. Caution or strong hallucinogenics advised.
I am a Karma Library.
If you set the Stereo mode to "Cross-eyed," you can view the picture in 3-D using the Magic Eye technique.
My Blog Sucks.
You realize, though, that real life girls are 4-dimensional. 5 if you count their emotional state.
"Derp de derp."
... too bad I don't really have a clue what it means. *sigh* I guess this is why I'm not majoring in Math ;-)
You should read Flatland. It's a fun beginners guide to other deminsions. It's a great story too.
My Blog Sucks.
Here
Less pretty but more understandable
BTW: things like the famous Stereoscopic Animated Hypercube have been around for quite some while. There even is a game around to be played.
the thing about opening our minds is right. :-)
We have always lived in three dimensions, so visualizing 4 dimensions Per Se is almost impossible coz our nuerons have been hardwired for 3 dimensions. So we can observe 4 dimensions in transit. For example if youwere a 2 dimensional being(thats not possible coz 3 is the minumum number of dimensions to sustain life) and a 3D sphere passed through your space, you will see a point, growing into a circle and then again into a point.
So if a 4D object came it would look like a morphing 3D object.
If mankind were able to create and use 4D's travel would be a whole new frontier. Esp since space-time is curved, Just imagine traveling a million miles instantaniosly
Confused! Go through stephen hawkings works! you will be even more so
My Aurora : http://www.youtube.com/watch?v=o91ZsGwJYyg
FB : https://www.facebook.com/TanveersPhotography
I would assume that if multiple dimensions exist, then we actually live in them already, it's just that we only have the ability to percieve the 4 obvious dimensions to us. While the other Nth dimensions are still existing just not eaqsily percieved by us. (AS in that quarks may in fact exist in the "4th dimension" (or properly termed by us as the 5th dimension.... don't start with the classic rock jokes!!) which would easily explain how some of them can exist in 2 physical "3d" locations at once.. existing in the "4d" space there will be multiple intersections from the "3d" space.... espically if the particle was elongated.
Is this a correct assumption?
Do not look at laser with remaining good eye.
I found the Parallel (sometimes called "Wall-Eyed") mode to be the best, especially at this early hour. If you get your head in just the right spot and relax your eyes just right, you get a decent 3D effect without the odd color effects of the old 3D glasses method (which also works, but to me it looks odd).
If you've viewed random dot autosteroegrams using the wall-eyed technique (or the cross-eyed technique) this is the same thing, except the movement will be a distraction.
As always, YMMV
We used to argue this in the computer science lab at college. Can the human mind gain visualization skills in four dimensional geometry? We came up with the following interesting answers:
p rod.html">Crystal Eyes</a>. Now there are liquid crystal on silicon solutions that are much cleaner, if not cheaper.
1. It's hard. We never see four diminsions. The brain would keep wanting to make one dimension some known continuim such as time, a color sequence, tone, or intensity. Only after this intermediate step would you get a true four dimensional geometry in your head.
2. You would need to have a true 3D display. Current rendering of three dimensional pictures flattened onto simple two dimensional screens would never work. Imagine using a laser pointer as a point source, and imagine that you had never seen a three dimensional object; now draw a three dimensional picture of a pick-up truck using the laser pointer. At the time, we were trying to get a simple three dimensional output, like <a href="http://www.stereographics.com/frames/frame-
We were students once, and poor.
After stareing at this for about 30 mins it made me wonder if God is a 4D being..
Isn't that what search engines are for?
Not everything that can be measured matters; Not everything that matters can be measured.
I don't have a pair of 3d glasses, is there any kind of computer screen filter that has the same effect?
Yeah, they call it "Alcohol"
There was something similar done by a guy called Luke Dahl, only it was for audio.
:-)
It was a Markhov chain extrapolation of the 3d sound as perceived by a 3d being and using a series of normalizations and transforms.
It was called Frobenius Norm, and was a composition of how a 4-d sound would sound to a 5-d being, I think. I just remember it being "spiffy" and very addictive!
It was also featured in Woodstockhausen 2000.
It's full of stars!
Beware: In C++, your friends can see your privates!
Can the human mind gain visualization skills in four dimensional geometry? ... We never see four diminsions. The brain would keep wanting to make one dimension some known continuim such as time, a color sequence, tone, or intensity. Only after this intermediate step would you get a true four dimensional geometry in your head.
Your actually wrong in the second part. While our senses can't pick up more than 3D Sensory input our brain can very well imagine (and sense) more dimenions. It's simply a matter of training.
Indian Yogis would call that 'meditation'.
The stuff those kind of people talk about like "when time becomes irrelevant" and such isn't some mystical BS (at least not with the honorable ones) - it's actually what you expierience when your brain is trained apropriately. Or forced into such condition by (ab)use of drugs.
You can see "everything happen at once" like one would say. It's interesting that people reaching this kind of 'sense' have a syncronized activity of both halfs of the brain.
Normaly we don't have that. But Yogis and people who have trained meditation can actually achieve such 'brainsyncing' at will. (a tranquil enviroment given)
Tibetian meditation 'training' is known to train the same as modern biofeedback 'brainsyncing', often with a nearly identical setup like: "look at those 2 spots and see them as one".
We suffer more in our imagination than in reality. - Seneca
There is no natural numbering of dimensions, so time doesn't have to be the 4th. While time can be treated as a dimension, it's easier to think about additional spacial dimensions. Some current models in theoretical physics have a bunch of extra spacial dimensions in addition to time.
... Until someone makes a videogame using these shapes. Maybe something funky like Frequency Cubed, Dance Dance Dance Revolution, or Duke Nukem 4D?
I'm serious though.
[PowerPoint] is a tool for capitalist presentation
- Start with your typical 3x3 tic-tac-toe, on a piece of paper.
- Now add two more grids. Visualise each grid on top of the one before. It's not difficult to see how this is played. You can get three in a row on a single grid, just like normal. Or you can get three in a row by getting the middle square of each grid (3 in a row, vertically). And so on. This is basically tic-tac-toe in 3D. 3 sets of 3x3 grids. 3x3x3.
- Now, add another two sets of three grids. So now you've got 3x3 3x3 grids (still with me?). You can still win just like in the 3x3x3 version. But you've got another 3x3 ways in which to do it. The tricky part is, to visualise each possible `3 in a row', you've got to mentally `rotate in' any one (and only one) 3x3x3 cubic plane.
Sorry if that's difficult to follow. If you work it through on paper, you'll see what I mean. This is what being bored in math class will lead you to think of, when plain old tic-tac-toe just doesn't seem challenging anymore.- SMJ - (It's not just a name: it's a bad aftertaste.)
Hello flonker,
Could you please post your telephone number? My lawyer would like to talk to you. I'm off to the hospital, cu guys.
"It's too bad that stupidity isn't painful." - Anton LaVey
Any n-1 dimensional plane cutting through an n dimensional space is a hyperplane. So, the correct wording of the story would have been "A hyper plane is a 3-dimensional space that cuts through a 4-dimensional space, just as a 2-dimensional hyperplane cuts through 3-dimensional space."
Posted from the wireless couch.
(* If 2D lifeforms did exist (Planiverse suggests they would need zipper-like 2D organ structures) it's quite likely they would have some form of 'depth' perception - along a plane, of course. A sphere intersecting with their world could indeed be recognized as a circle, much like our brains can recognize the depth difference between a ball and a flat disc. *)
If a 4th dimensional biological entity intersected our dimension, it would probably look really really funky, like a bunch of morphing blobs. Imagine sitting there in a chair watching Bay Watch, and suddenly in the middle of the room small blobs of flesh appear, grow in size, but change shape in really really odd, unnatural ways, then disappear.
If that wouldn't make your skin crawl off, I don't know what would. It would even be odder than watching obese porn in reverse (not that I recommend it).
Note that there are some UFO reports of odd blobs appearing, morphing funny, and then just dissappearing. Long shot, I know, but you just never know what may have came our way before.
Table-ized A.I.
I COULD see all angles of the scenes at the same time. Of course, time stopped... Sorry.
CAn'T CompreHend SARcaSm?