Absane said:
Yes. You can view a 4D hypercube in 3D two ways: Time or spatial "reflection." With time, you would see a 3D cube expanded with time. Spatial, you would see basically a cube within a cube, but this is because every vertex must have 4 corners. And plus, in 4D spatial-space you could see the entire 3D object at one time, just like us 3D beings can see an entire 2D object at one time.
Visualization is fun
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The Editors, SCIENTIFIC AMERICAN,
415 Madison Avenue, New York, N.Y. 10017
14 May 1976
"An Accelerating Universe?"
"...that most reasonable observational data.... fit closely all models to which the expansion is accelerating. "The prediction of accelerating expansion is contrary to expectation... "something must be terribly wrong."..."The net forces between (receding) glaxies really are repulsive (Re: 'Hubble's Law - the more distant a given stellar or galactic light source the faster it's rate of recession from the point of observation". Re: Einstein's Cosmological Constant <repelling force acting parallel to and in the opposite direction as the popular concept of 'Newtonian impelling force>, a force different from others in that its velocity increases - rather than decreases, with distance.) - SCIENTIFIC AMERICAN, 'Science and the Citizen', December 1975, James E. Gunn and Beatrice M. Tinsley.
'I point out this apparent conflict with the understanding that Gunn and Tinsley concluded "...the prediction of accelerating expansion is contrary to expectation... and that something must be terribly wrong." Especially so if "...the net forces between (receding) galaxies... really are repulsive... and if gravitational values really are "equivalent to and synchronous with inertial acceleration values beyond a billionth of a second and the technical ability to measure any difference" (THE NEW GRAVITY <Is The 4th Dimension>, April 1975, Kent Benjamin Robertson).
'Is it possible we are overlooking a rather obvious consideration, concerning the real nature of 'gravity?'
Very Truly Yours,
David F. Sicks, Anchorage, Alaska cc - Mr. Kent Robertson
(Of course Mr. David F. Sicks received no response whatsoever.)
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Posted: Tue Jul 11, 2006 4:18 pm Post subject:
What is the meaning of Mr. Bucky Fuller's statement, here?
"In reality, mathematics can say very little about the 4th dimension. There is nothing in the hypothesis of the 4th dimension that would make it inadmissable from a mathematical point of view, this hypothesis does not contradict any of the accepted axioms and, because of this, does not meet with particular opposition on the part of mathematics. Mathematicians even admit the possibility of establishing the relationship that should exist between 3-D and 4-D space, i.e., certain properties of the 4th Dimension. But they do all this in a very general and indefinite form. No exact definition of the 4th Dimension exists in mathematics.
"The basis of the denial of the fourth dimension, which has been supported by the theoretical and fallacious plane and cubical geometry, has been the inability to produce an additional or fourth perpendicular to a cube, as the basis of an additional power multiplication, whereas, poor little plane arithmetic and algebra, without geometrical reference, being abstract, indicate the perfect ability to do so...
"Very rightly do they do so, for if the geometrist will go back to his first perpendicular, he will find it perpendicular to a sphere, for did he not assume a dot as his first basis of a geometrical theorem, which if conceded at all, must be spheroidal. Matter, if existent at all (and we cannot fallaciously assume a truth that is not), must be spheroidal. Surely the 'PlaneAndSolid' geometrist does not claim his 'dot' or 'point' to be cubical, for then he would have no further cause for his progressive antics. We see that there is no cubism, and that we can have as many perpendiculars to the inside or outside of the sphere as we may wish. Each power raising, or root taking, is on the basis of spheroidal increase or decrease by that many units of its radial or time dimension. The only 'straight line' then is the radial or time line, demonstrated by spheroidal dissection on its radial axis. There is also much laughter at the 'Plane&Solids'" -
R Buckminster Fuller, 4-D TIMELOCK, p. 17