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originally posted by: intrptr
a reply to: SkeptiSchism
So do 4d objects contain 3d aspects? If so we should be able to manipulate them right?
Wrong, we can no more manipulate the 'fourth dimension' than a 2D flatlander can visit "Up".
The next dimensions is all around and thru us and yet we see it not. We are spatially locked, just like 2D flatlanders cannot comprehend 'up'.
And yet our very soul exists there, we are already there, literally, and yet we don't even acknowledge our own soul.
No the 4th dimensions isn't a place at all its simply another degree of movement.
Accessing a 4th dimensionin 3d space means nothing would be secure even a bank vault you could empty the contents without even unlocking it.
originally posted by: Scrubdog
Just a question here.
Is it just me, or do paintings or representations of the fourth dimension sit very heavily in your mind, like they open up more than the "physical universe" into something much much more profound? I don't want to say it is "dark" in my mind, but very definitely deep, unsettling.
Am I alone in that?
Godel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter
originally posted by: dragonridr
originally posted by: intrptr
a reply to: SkeptiSchism
So do 4d objects contain 3d aspects? If so we should be able to manipulate them right?
Wrong, we can no more manipulate the 'fourth dimension' than a 2D flatlander can visit "Up".
The next dimensions is all around and thru us and yet we see it not. We are spatially locked, just like 2D flatlanders cannot comprehend 'up'.
And yet our very soul exists there, we are already there, literally, and yet we don't even acknowledge our own soul.
No the 4th dimensions isn't a place at all its simply another degree of movement. In out world we need 3 degrees of movement to point to an object and of course time. Leftand right 1 degree forward backward two up down 3 degrees. A forth would allow for a diagnal movement of points.
Lets try to explain this if I set a wooden frame on a table and place a ring in the middle There is no way the ring can be removed from the frame within the confines of the two dimensional surface of the table. Now we have access to a third dimension. The ring is easily removed merely by lifting it into the third dimension, the height above the table We are then free to move the coin as we please in the higher layer and then lower back to the tabletop outside the frame.
The thing to notice about the lifting is that the motion does not move the coin at all in the two horizontal directions of the two dimensional space. So the motion never brings it near the frame and there is no danger of collision with the frame.
Now let's do the same thing with a cube a 3d object and we have a marble at its center. In 3d space are marble is completely enclosed can't go up down left right or back and forwards without contacting the frame of the cube.
But just like before there is another option.The marble can be removed in exactly the same way by "lifting" it, this time into the fourth dimension. As with the ring in the frame, the key thing to note is that in this lifting motion, the marble's position in the three spatial directions of the box are unchanged. The marble never comes near the walls and there is no danger of colliding with them.
What we have done is moved are marble to another layer of 3d space where the cube isn't there. The moved marble can then be freely relocated in that new layer and, if we pleased lowered back into the original three dimensional space in quite a different location.
Accessing a 4th dimensionin 3d space means nothing would be secure even a bank vault you could empty the contents without even unlocking it.
Maybe the scientists should start working on designing a 4 dimensional bank vault then, one that can't be broken into by accessing he 4th dimension?
originally posted by: dragonridr
Accessing a 4th dimensionin 3d space means nothing would be secure even a bank vault you could empty the contents without even unlocking it.
originally posted by: Zelun
a reply to: Scrubdog
There's a book you should check out, it's called Godel, Escher, Bach: An Eternal Golden Braid by Douglas Hofstadter. It's a big, fat, non-fiction book all about recursion. It will crawl inside your head and eat its way out!
EDIT: In a good way
originally posted by: AdKiller
4th spatial dimension? W x y z. This is like saying North Northwest is a new direction!
So like, the difference between a 2 link wishbone and a 4 link panhard? Or like a square instead of a triangle? I don't understand their interpretation.
In plastic art, I believe, there is a fourth dimension which may be described as the consciousness of a great and overwhelming sense of a space-magnitude in all directions at one time, and is brought into existence through the three known measurements. It is not a physical entity or a mathematical hypothesis, nor and optical illusion. It is real and can be perceived and felt. It exists outside and in the presence of objects, and is in the space that envelops a tree, a tower, a mountain or any solid; or in the inter- vals between objects or volumes of matter if receptively beheld. It is somewhat simi- lar to color and depth in musical sounds. It arouses imagination and stirs emotion. It is the immensity of all things. It is the ideal measurement, and is therefore as great as the ideal, perceptive or imaginative facul- ties of the creator, architect, sculptor or painter.
Put simply, as we perceive it, 3D objects cast 2D shadows, so it follows that 4D objects would cast 3D shadows, even if we can't actually see the 4D object itself.
However, as such research continues, it could afford us unique perspectives on current fields of study. One such instance would be in materials science. Quasicrystals in metallic alloys have no periodic structure in three dimensions but do in higher, theoretical ones such as the fourth dimension. Such quasicrystals could one day greatly reinforce steel, develop improved heat insulation, and provide new materials which convert heat to electricity. They could also be used as solar absorbers for power conversion in the renewable energy industry as well providing low-friction alternatives to current artificial bone repair and prostheses applications in the medical science field.