1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Fourth Dimension

  1. Feb 24, 2008 #1
    Okay how can someone explain the four dimension in so that someone like me can under stand them?

    I'm asking this question because my math teacher will not talk about it so that the other students would not get confused. I get the theory (or how ever you want to say it)a little bit but i still don't get the whole picture.

    So if you can explain it to me or send me to another website that I might be able to get it would be a huge help to me.

    please and thank you :approve:
  2. jcsd
  3. Feb 24, 2008 #2
    The basic idea is not difficult once you've mastered the idea of plotting points in two dimensions by using pairs of coordinates (x,y) and then points in three dimensions by triplets of coordinates (x,y,z). If you then imagine points in 4-D with coordinates given by (w,x,y,z), you're on your way.

    There are plenty of good sites for understanding what it means to add a fourth dimension to three basic ones. These ones tend to focus on 4-D cubes, since that has been something of an interest for me, but they also give you a general idea of how to think in four dimensions:

    http://www.math.union.edu/~dpvc/math/4D/welcome.html" [Broken]
    http://www.naturalmath.com/jokes/joke10.html" [Broken]
    http://www.geom.uiuc.edu/docs/forum/polytope/" [Broken]
    Last edited by a moderator: May 3, 2017
  4. Feb 24, 2008 #3
    Hopefully this isn't simply more confusing, but here's an illustration of a 3D section of a rotating 4D cube:

    [PLAIN]http://upload.wikimedia.org/wikipedia/commons/d/d7/8-cell.gif[RIGHT][SIZE="6"]⚛[/SIZE][/RIGHT][/URL] [Broken]
    Last edited by a moderator: May 3, 2017
  5. Feb 24, 2008 #4
    thanks, I'm starting to get it
  6. Feb 25, 2008 #5
    Last edited by a moderator: May 3, 2017
  7. Feb 25, 2008 #6
    It's from Wikipedia, I assume a contributor there created it because there are several different versions in the http://en.wikipedia.org/wiki/Tesseract" [Broken] article.
    Last edited by a moderator: May 3, 2017
  8. Nov 22, 2008 #7
    The fourth dimension is as far I have experienced it the best expressed in Weather(forecasts). Not only the results of the calculations of huge computers, but also the modelling thing itself. As Richardson used his "human" computer in the beginning of the twentieth century (because electrical were not yet available); weather is there on many spatial points and on all time. So fourthdimensional it is, as such it is modelled and as such they use their formulas.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook