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4 Dimensional Object Here is something interesting

#16 {lang:macro__useroffline}   X Zolon {lang:icon}

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Posted 10 October 2003 - 10:38 PM

Lol, Shoot me down, mate. Anyway, Matt (Foo!) That is fairly interesting. I understand, and it IS very complicated bluetongue.gif

But, I digress.

Continue providing information to us grnwink.gif

Anyway, we need a discussion on Mythology (not just greek!)
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#17 {lang:macro__useroffline}   Kowboy {lang:icon}

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Posted 11 October 2003 - 12:24 AM

QUOTE
Let us assume that time is the 4th dimension, since we are confined to a lesser dimension, we cannot feel or see anything more than a projection of time. It is essentially equivalent to "flat land" falling through the 3rd dimension. Our understanding of time is limited at best and outright pathetic at worst.


QUOTE
I want to make this easy to see and understand so let’s use a "Geometrical Hypercube" to visually guide us as our example: First we must define a dimension as being a direction, so let’s create those directions now.

Step One.

First we begin with a point, in the world of dimensions a point, although it exists, does not occupy any space.

Next we take a second point, and place it 2" inches from the first point. So far so good. (But remember a point does not occupy any space.) Then we draw a line and connect them together. What we have done is create a one-dimensional line segment. Let’s say, for practical purposes, our line segment has created depth.

Step Two.

Now we have to move our 2" line segment at right angles to itself. In doing so we create a two-dimensional plane 2" inches by 2" inches square and in the process we have added width. Now if our plane is perfectly square, as it should be, our corners will all be 90 degrees’.

Step Three.

We now move our two dimensional plane at right angles to itself. That creates a three dimensional cube 2" inches in depth, 2" inches in width, and now we have added 2" inches in height. Once again if our cube is perfectly square all the corners will be 90 degrees.

All in all this is pretty easy so far wouldn’t you agree? DEPTH, WIDTH, HEIGHT, one, two, three dimensions.

But now comes the interesting part.

Remember how we defined a dimension as being a direction? Well now we are about to enter into the realm of the fourth dimension.

Step Four:

Next we move our three-dimensional cube at right angles, right angles un to itself. When we do that we create a four-dimensional Tesseract (or Hypercube). Now the hard part is I can’t show you a Tesseract or a Hypercube because the only place they exist is in the fourth dimension. You see in the fourth dimension every corner of every cube of the Tesseract or Hypercube would have to be at a 90-degree angle to every other corner.

I can however show you the most unique shadow our three dimensional world has ever seen of the this four dimensional object.

What is a four dimensional shadow?

When you hold a three-dimensional object over a flat surface of a table you can see the two-dimensional shadow of that object on the table. Since the table is flat you only see the depth and the width of the object on the table, and it’s shadow has no height. The same is true when you take a photograph of a tree; the photo has width and height but no depth.

When you hold the "Geometrical Hypercube" or look at it you are seeing the world’s most unique three-dimensional shadow (just like the shadow on the table) of that four-dimensional object that has ever been seen before. Nothing has ever existed like this unique geometrical art piece before. This is the world’s most unique sculpture.

Where is the fourth dimension?

There are lots of theories as to where and what the fourth dimension might be. Some people call it "Heaven". Some call it in/out or to/from. Where ever it is or what ever it is there is no doubt that it DOES exist mathematically. Simply gaze into the "Geometrical Hypercube" and let your imagination awaken. Let this unique geometrical sculpture carry you to new places and dimensions you have yet to visit.



These are a few things that made it easier for me to understand.


Here is a Link that I think Cspace and Hyper will enjoy. I cant post everything on it. It has pictures of different hypercube "situations." The pics arent awesome but it gives you the idea. thumb.gif
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#18 {lang:macro__useroffline}   CongressJon {lang:icon}

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Posted 11 October 2003 - 12:50 PM

That's a very interesting page. So it's like showing the fourth dimension to them as a comparison of a fifth to us... Very interesting.
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#19 {lang:macro__useroffline}   Miotu {lang:icon}

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Posted 11 October 2003 - 10:16 PM

Indeed this is true what you say about the impossibility of light speed due to infinite mass, Cspace. It can be understood in simple terms; When your body accelerates in a car, or even on a roller-coaster, it experiences slightly more gravity than it would in a regular earthly condition. This is because the acceleration of Earth's gravity, 9.80 m/s2 has been surpassed. Hence, if one surpasses this, you feels much heavier than you actually are because the atoms in your body are constantly trying to catch up with the others that have already started to accelerate! This stretches your body somewhat because of the differences in acceleration and resulting speed.

Now, if you can imagine a MUCH greater acceleration, say, the speed of light, or decent into a black hole. If one accelerates to this extent, they are experiencing infinately greater amounts of G-force, or Earth's regular gravity than normal. This immense acceleration causes the body to stretch so much that it "Spagettifies," or turns into strings only 1 atom thick.


As you can see, as acceleration increases, any object with mass cannot sustain the force due to this so-called "Spagettification" process. Hence, accelerating to near the speed of light, or surviving a black hole for that matter are nearly impossible.
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#20 {lang:macro__useroffline}   Traver {lang:icon}

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Posted 14 October 2003 - 11:32 AM

The first dimension isn't a line as such. In theory, it is, but think of it. If we say the 1st dimension is up, then, in theory, it would be a vertical line. But, since it can't expand to the left or right, it will practically be non-existant.
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#21 {lang:macro__useroffline}   Miotu {lang:icon}

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Posted 15 October 2003 - 04:23 AM

Lol, advertising, are we Traver?
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#22 {lang:macro__useroffline}   Traver {lang:icon}

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Posted 15 October 2003 - 11:32 AM

Just spreading the word. Go buy it! Now! (Or at least when it comes out)
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#23 {lang:macro__useroffline}   Kowboy {lang:icon}

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Posted 17 October 2003 - 12:23 AM

Thanks everybody for your input. I used this information to do a powerpoint for a class I had. Although I am very confused, I have information. Thnx Y'all. thumb.gif
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#24 {lang:macro__useroffline}   Stargate3216 {lang:icon}

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Posted 18 November 2004 - 12:46 PM

That is really cool. I was supprised when it worked.
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#25 {lang:macro__useroffline}   Xemem {lang:icon}

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Posted 19 November 2004 - 08:32 AM

Okay, ive been skimming this topic. ima chime in now with my views.

3 dementional qualities:

The way I see it there are 3 qualities that apon interacting with each other create dimention.

- length. having measurement only in longitude. you can determine distance with it by placing theoretical points(as we have yet to prove the existance of the ether, and thus have yet to prove the existance of one fixed point from wich everything can be positioned off of---basicaly a singularity only works in theory and not yet in practice--)...sence it is also a duration and not just a measurement, you could also say time is one of its sub qualities.

- width. Having measurment only in latitude( fyi, latitude is not hieght, as some may be under the impretion that it is--altitude is hieght--)

-Hieght. having measurement only in altitude.

anote on the 3 dimentional qualities
If you are wondering wich one is depth the answer is all. as in, each qualities, posses a sub quality of substance, in the way of depth via perspective.

The interaction (or sometimes lack of interaction) between the 3 dimentional qualities

-any dimentional quality not intersecting another equals a first or singular dimention state (again in theory as the singularity is unproven as of yet).

- any two dimentions interacting with each other, are of a two dimentional quality(but only where they interact/intersect, wich means that the point/singularity must exist, so there could be no dimentions if the qualities did not intersect some where...there proven, now wheres my dang nobel prize? Whatever_anim.gif lol)

- when all three intersect each other a 3rd dimention is created.

some more notes
this is an extreemly simplified vertion of how it works...In addition there just so ya' know there are: three 1st. dimentions(one that is equivellent to time), 1 3rd dimention. and an inffinate amount of second dimentions, and 4th dimentions.

many people are under the dumb imprestion that there is a forth quality. they are wrong. many people are under the impretion that 1st dimention is a singularity and or length/longitude. they are wrong and write, as it is one but not the only. alot of people seem to think that 2nd dimention equals length and width. again they are both wrong and write, as it is again one of them but not the only one.
there is only one 3rd dimention. and as for a 4th dimention, it does not exist, as there are only 3 dimentional qualities...

the 4th dimention does not exist. there is no forth dimentional quality. and if it did exist, wich it doesnt, it would not be time, as it is that time is a duration and thus is a sub quality of one of the first dimentions (length). If 60 million people have a stupid idea it is still a stupid idea(im not trying to offend any one here...im just saying. it is flawwed at princable and wrong).

oh and to through another wrench in there...at the singularity...everything you know gos out the window.

*sigh* the common beliefes about this stuff is nice, and works. as long as you dont look at it to closly. when you do you discover the singularity and it all falls apart. I dont know why people just dont get it, if you look at any idea to closley it always falls apart(even my ideas on this), becuase nothing is absolute. people look for the one thing that is absolute...the one overall rule...well there it is. it is that nothing is absolute. everything only works within peramiters, or to a point. when it stops working there is a new set of rules and you have crossed the line of relevence.



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#26 {lang:macro__useroffline}   Jarik C-Bol {lang:icon}

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Posted 19 November 2004 - 04:51 PM

4 dimentional objects.
pah, tessercts are for the weak. here's a bottle that i keep the universe in. (its another 4 dimentional object. look through the site, it explains it) Here is athe actal description (ish)
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#27 {lang:macro__useroffline}   Xemem {lang:icon}

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Posted 19 November 2004 - 09:03 PM

A mathematician confided, that a mobius strip is one sided, and you will get quite a laugh if you cut it in half, becuase it stays in one peice when devided...
a lil nursey ryme, or it should be any way cuase a pre-schooler could get it. derive what you will from it I guess...just felt like sayin that.

"Contrast this with a corked bottle -- say, a wine bottle. It has two sides: inside and outside. You can't get from one to the other without drilling a hole or popping the top. Once uncorked, it has a lip which separates the inside from the outside. If you make the glass arbitrarily thin, that lip won't go away. It'll become more prominent. The lip divides one side of the bottle from the other. So an uncorked bottle is topologically the same as a disc ... it has two sides, separated by a boundary -- an edge."...thats off the page ya' linked

But a Klein Bottle does not have an edge. It's boundary-free, and an ant can walk across the entire surface without ever crossing an edge. This is true of both theoretical Klein Bottles and our glass ones. And so, a Klein Bottle is one-sided.

and the bottle is not one sided(im not sure if they were sayin it is or could be...but it isnt) traveling along the outside, to the "opening/hole" on the bottom, up through the neck, and down into the bottle, does not let you exit exept by reversing direction...same as with a regular an caped bottle.

here to show what I mean I made this in paint and didnt waste glass doing it, lol.

user posted image

yeah the doodle is not all that great. but you can do the same thing to that klien bottle. just case ya' dont see it the black lines are the bottle, the red lines are the followed path, and the black dot is point at wich direction is reversed(meaning you exit the same way you came in)...

on that klien bottle thingy, ya' got a probleme once on the inside(there is an out side and an inside) that section of neck just past the "nexus" that connects to the out side. well..if it worked then you could get out through there. once inside the bottle the only way out is to reverse direction. you dont do that on a mobius strip, you start out in one direction and keep going, continuesly passing up your start point....

look at any thing close enough and it falls apart. you can only explain a thing within peramiters...and there is no forth dimention. cmon I coverd this, its actualy very simple and easy to get...you cant asign the forth dinmention its name 4th, based on the idea that there are four dimentional qualities...becuase there are only 3 that you can combine a bunch of diferent ways.

...*sigh*. If you can not answer a question correctly then the question is flawwed(that is to say if it has no correct answer). like that pie thing(squareing a circle). asking how to do that is fundementaly flawwed question, becuase a square aint a circle...how many gallons is a pound of brick? thats wat its like asking.

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#28 {lang:macro__useroffline}   ticktockclok {lang:icon}

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Posted 19 November 2004 - 09:49 PM

There is a 4th dimension, its just that it looks demented in the 3 dimensional world we live in.
And now we have the quote of the day, from greenl2l: PLONGED!!!
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#29 {lang:macro__useroffline}   Xemem {lang:icon}

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Posted 20 November 2004 - 12:09 AM

there is the illution of a forth dimention. created when we encounter substance in forms we are not used to. such as 2nd dimention in the form of only possesing the qualities of hieght and length(instead of length and width, as we are used to in encountering a 2nd dimentional thing of substance)...

strange how noone can discribe the qualities of this so called 4th dimention. or its relation to things. or even show one true example of it. We can do that with all other known things. But when most encounter the known qualities interacting in a way that is un-known, and thus find it difficult to describe, they just rite it of as the mysterious 4th dimention. and then take it a step further and guess at what it consists of. if people stoped looking at it so hard they would see it for what it is.
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#30 {lang:macro__useroffline}   Daryl C {lang:icon}

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Posted 01 May 2005 - 06:41 AM

Reading through some old topics and this looked like a fun one.

I have seen in many places that their are not just three dimentions but up to 10. This may sound strange but the human mind can only comprehend three. The 4th dimention exists all around us but we cannot comprehend what it is. Take this example.

If you lived as a dot on a never ending white peice of paper with nothing else on it besides other lines and dot. You would never know of a third dimention. Now suppose that someone held a disk abouve the paper. Looking up off the page all you would see is a circle or two dimentional object. Now if that was removed and a ball was held above the paper, all you would still be able to see is a two dimentional circle. Although one object was two dimentional and the other three, you would only be able to comprehend them both as two dimentional.

This is much the same was that 4th dimentions and up may be presented to humans, we just can't comprehend what they are.
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