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1D, 2D, 3D, 4D ???

Posted on 2000-03-16
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Last Modified: 2010-04-06
Please define what is 1D, 2D, 3D, 4D objects ??

1D ???
2D --> width, height
3D --> width, height, + depth...
4D ???

and please define what is called object in graphic area ??
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Question by:techpage
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ntdragon earned 100 total points
ID: 2623167
0D is  point(none)
1D is a line (width)
2D is a triangle (width,height)
3D is a cube (width,height,depth)
4D it hard to explain 'cause you can see
in 4D as you know our world is 3D
i"ll try to explain what is a 4D cube and then i think you"ll get the idea of 4D
a 3D cube is a two 2D cubes <square> attached with 4 1D cube <line>


two squres

       1------2       5------6  
       /     /        /     /
      /     /        /     /
    3------4        7------8

and lines go from:
 1->5
 2->6
 3->7
 4->8

so a 4D cube is a two 3D cubes attached with 4 2D cubes <squre>

two 3D cubes
                 1/-------2
                / |      /
              8---|---7/ |
              / 4/---/--|3
             / /    /  /
            //     / /
           5-------/6


                 9/-------10
                / |  16  /
             15---|--- / |
              /12/---/--|11
             / /    /  /
            //     / /
         14 -------/13

some thing like that

now squres from:
1,8->15,9
2,7->10,16
4,5->12,14
3,6->11,13

i hope i helped

and i don't think there is a name for that
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by:techpage
ID: 2624718
I see... Thx... you've helped me a lot... but could you repeat the 4D things one more time... with more accurate picture please. :) thxxxx
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Expert Comment

by:ntdragon
ID: 2625494
ok i"ll try

two 3D cubes

        1--------2
        /|     /|
       / |   6/ |
      5--|----  |
      |  4---|--|3
      | /    |  /
      |/     | /
      8------ /7


         a-------b
        /|     /|
       / |   f/ |
      e--|----  |
      |  d---|--|c
      | /    |  /
      |/     | /
      h------ /g

and 4 2D cubes

 1--------5
  |      |
  |      |
  |      |
 a--------e

 2--------6
  |      |
  |      |
  |      |
 b--------f

 4--------8
  |      |
  |      |
  |      |
 d--------h

 3--------7
  |      |
  |      |
  |      |
 c--------g

the idea is to connect the two 3D cubes using the 4 2D cubes as i showed by numbers and letters
the only proglem ppl can't see 4D so for us it's nothing we can't understand how it show be execttly 'cause our world is 3D and not 4D

like if you take a 3D cube and draw it on a paper it will look like some figure in 2D (papre is 2D) but not like cube
we can understand that a painted 3D cube on 2D papre is a 3D figure 'cause our world is 3D and we are used to see all in 3D
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