cubes in a 4-d hypercube

Discussion in 'Homework Help' started by zulfi100, Jun 21, 2013.

  1. zulfi100

    Thread Starter Member

    Jun 7, 2012
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    Hi,
    Can somebody plz tell me:

    My answer is 3. I got it from the following link:
    https://en.wikipedia.org/wiki/Hypercube


    Zulfi.
     
  2. WBahn

    Moderator

    Mar 31, 2012
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    4,788
    How do you get 3 from that reference. They explicitly give a different number.
     
  3. zulfi100

    Thread Starter Member

    Jun 7, 2012
    320
    0
    Hi,
    Thanks for your response. Sorry I dont see their answer. Kindly guide me.

    Zulfi.
     
  4. LDC3

    Active Member

    Apr 27, 2013
    920
    160
    Since the 4th dimension is beyond anyone's experience, all we can do is look at 3D shadows of 4D objects. The tesseract is the simplest object to view.
    To find out how many cubes are in a tesseract, go to the table in the middle of the web page. On the row that says 4-cube, look for the column that says cells. That is the number of cubes in a tesseract.
     
  5. zulfi100

    Thread Starter Member

    Jun 7, 2012
    320
    0
    Hi,
    Thanks. It says 8.

    Zulfi.
     
  6. djsfantasi

    AAC Fanatic!

    Apr 11, 2010
    2,802
    832
    Or draw the 3D projection of a tesseract and count the cubes directly. There is the inner cube, the outer cube (2 cubes) plus the projection between each of the 6 faces of these cubes (6 more cubes) giving 6+2=8.
     
  7. zulfi100

    Thread Starter Member

    Jun 7, 2012
    320
    0
    Hi,
    I would try. But i have one related question. Are hypercubes possible in a 3d environment?

    Zulfi.
     
  8. WBahn

    Moderator

    Mar 31, 2012
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    4,788
    The 3-D projection of a 4-D object is a 3-D object. Think of it like a "shadow". You are a 3-D object but your shadow is a 2'-D object. The shadow of an n-D object is an object in (n-1) dimensions.
     
  9. zulfi100

    Thread Starter Member

    Jun 7, 2012
    320
    0
    Hi,
    Thanks for your reply.

    Zulfi.
     
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