Furthermore, since a one dimensional object produces a dimensionless shadow, a two dimensional object produces a one dimensional shadow and a three dimensional object produces a two dimensional shadow (all of these depending on orientation, obviously), would said 4D object produce a 3D dimensional shadow? What would this resemble?
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patrick, a line is a one dimensional object. none actually exist in our three dimensional world though so i can't site an actual example.
Kevin, If you consider time to be the fourth dimension, then yes, everything you see is in 4D. Instead of objects changing their apparent shape from different spatial locations, they can change from a different time location. That is movement.
Your shadow analogy only works for spatial dimensions. Do not mix up time and spacial dimensions it shal only confuse you. And just as a 2D object cant picture a 3D one, you cannot picture a 4D object. Look at http://en.wikipedia.org/wiki/Hypercube#R…
that gif is like what a shadow of a 4D object would look like to us ( i think).
I've always liked going to movie theaters and asking "can I have two tickets to the avengers 4D?" The clerk then says, you mean 3D? To which you say "how long does the movie last?". 140 minutes, why?. "Well then, I guess it's in 4D, isn't it!"
-I'm an *** lol
Kevin, If you consider time to be the fourth dimension, then yes, everything you see is in 4D. Instead of objects changing their apparent shape from different spatial locations, they can change from a different time location. That is movement.
Your shadow analogy only works for spatial dimensions. Do not mix up time and spacial dimensions it shal only confuse you. And just as a 2D object cant picture a 3D one, you cannot picture a 4D object. Look at http://en.wikipedia.org/wiki/Hypercube#R…
that gif is like what a shadow of a 4D object would look like to us ( i think).
I've always liked going to movie theaters and asking "can I have two tickets to the avengers 4D?" The clerk then says, you mean 3D? To which you say "how long does the movie last?". 140 minutes, why?. "Well then, I guess it's in 4D, isn't it!"
-I'm an *** lol
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Well there's a difference between taking time as the 4th component of a vector and actually having 4 spatial dimensions. Time would represent the 4th dimension, but not the 4th spatial dimension.
A 4D object projected into 3D would look like a solid 3D object (as opposed to just a surface, which would actually be a 2D object living in 3D space).
A 4D object projected into 3D would look like a solid 3D object (as opposed to just a surface, which would actually be a 2D object living in 3D space).
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Our world is three dimentional strict. Four axis as discovery exist only in our mind as imagination one.So can't be pictured as graphic. It follow from existing roots equation with negative discriminant and can be as binom Newton's represented. What you ask about can be written in algebra form only.Here is z=(x^2+y^2+z^2+i^2)^1/2
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Kevin, Question. I googled 1 dimensional objects. How is it possible for an object to have length but no width? Is there anything like this in existence or how could something like that exist?
Thanks.
Thanks.