4th dimension - 8-cell or octachoron

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13 Dec 2007 13:38:36 IST
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13 Dec 2007 13:38:36 IST
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4th dimension - 8-cell or octachoron
This is an animation of a hypercube or tesseract rotating.
A tesseract, also called 8-cell or octachoron, is the ?four-dimensional analog of a (three-dimensional) cube where motion along the fourth dimension is often a representation for bounded transformations of the cube through time?.
And if you understand that then you?re one step ahead of me - all I know is that this does my head in : )
hypercube-rotation.gif


source: http://conflusions.com/2007/11/20/wow-just-wow/

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Comments (8)


Blazing goIITian

Joined: 29 Mar 2007 20:55:45 IST
Posts: 555
13 Dec 2007 13:50:55 IST
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do u know y humans got d eye n only 2 eyes wid a few dist. n do u know y we didn't got at back n do u know tht y we do everything max. on 3 dimension

Blazing goIITian

Joined: 29 Mar 2007 20:55:45 IST
Posts: 555
13 Dec 2007 13:53:04 IST
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i don know tht y we got 2 eyes only n i jst know d idea of eyes at a dist. is tht we can see 3 dimension n in a cube too u can only c 3 dimension things thru u r eyes properly for example take a puzzle u know tht 1 which have arey i forgot itz name at d moment hehe nyways tht we used to solve it n which cotains 6 diff colurs n we hav to arrange it at 1 side hope u got it

Blazing goIITian

Joined: 29 Mar 2007 20:55:45 IST
Posts: 555
13 Dec 2007 13:53:54 IST
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n by saying tht 4 dimension is a analog of 3 dimension u indirecly say th 3 dimension is a analouge of 2 dimesnion n 2 of 1 isn't

Blazing goIITian

Joined: 29 Mar 2007 20:55:45 IST
Posts: 555
13 Dec 2007 13:54:43 IST
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n if u ha d reason for 1 to 2 then u hav for 2 to 3 thtz it i think u got d reason for u r answer itz pretty hard to explain actually so thtz y

Blazing goIITian

Joined: 29 Mar 2007 20:55:45 IST
Posts: 555
13 Dec 2007 13:55:09 IST
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hope u got d answer

Blazing goIITian

Joined: 29 Mar 2007 20:55:45 IST
Posts: 555
13 Dec 2007 13:58:03 IST
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oh man m a bit confuse but i think i m correct to an extent

Scorching goIITian

Joined: 30 Mar 2007 01:28:26 IST
Posts: 223
13 Dec 2007 15:21:30 IST
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Looking at this reminds me of something i saw in television where a person had a suitcase. he opened it came out from it another siutcase. when he opened that he got one more suitcase, i.e., box in a box in a box till infinity. looking at the above animation i can feel the same thing. there are two concentric cubes and the corresponding vertices of these cubes are joint. the smaller cube gradually increases in size while simultaneously the bigger cube's shape is disturbed finnaly it becomes a smaller cube. i know i am wrong but thats all i can see.

Blazing goIITian

Joined: 28 Sep 2007 09:43:02 IST
Posts: 637
13 Dec 2007 15:58:01 IST
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actually ......there is discussion going between scientists to consider time as 4th dimension ................because to define the position of a particle moving in space,we need time.............................such as position of particle is x=1,y=2,z=6 at t=4sec.................. :)



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