Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Hypercubes and graph theory

  1. Nov 13, 2011 #1
    Some background: my friends love to confound me with nonsensical questions, because they know I'm the type of person who cannot let a question go, even if it has no answer, and when I arrive at one, it will be so rigidly logical that no matter how ridiculous it sounds it must be correct. My previous stumper was: if I ate myself, would my mass be multiplied by 2, zero, or remain the same (no, conservation law is not necessarily the answer, see Noether's theorem)?

    The latest one is: Square + cube = ?

    My latest venture into this question let me into exploration of hypercubes and graph theory http://en.wikipedia.org/wiki/Coxeter-Dynkin_diagram
    however, the geometric representation of numbers does not seem to be a vast field in itself. Does anybody with a math degree know anything about this, in particular: http://en.wikipedia.org/wiki/Minkowski_space
     
  2. jcsd
  3. Nov 13, 2011 #2
    Re: Question

    If you eat yourself, your mass would remain the same, right? Hmmm...
     
  4. Nov 13, 2011 #3

    DaveC426913

    User Avatar
    Gold Member

    Re: Question

    Define "+" in this equation.
     
  5. Nov 14, 2011 #4
    Re: Question

    Define "+" in this equation.


    In the spirit of the original question, delivered when everybody was not just a little inebriated, you can define it any way you want.
     
  6. Nov 14, 2011 #5
    Re: Question

    http://en.wikipedia.org/wiki/Menger_sponge

    [PLAIN]http://justplainron.com/wp-content/uploads/2010/05/menger.jpg [Broken]

    Something like this I would Imagine
     
    Last edited by a moderator: May 5, 2017
  7. Nov 14, 2011 #6
    Re: Question

    Totally ignored
     

    Attached Files:

  8. Nov 14, 2011 #7
    Re: Question

    ???????????????????
     
  9. Nov 14, 2011 #8
    Re: Question

    ....
     
  10. Nov 14, 2011 #9
    Re: Question

    To me the picture looks like it is more like subtraction than addition. The Koch triangle does add stuff to get a triangle with fractile boundaries.
     
  11. Nov 14, 2011 #10

    Deveno

    User Avatar
    Science Advisor

    Re: Question

    you would have the mass of the "mandelbrunch" whose insides are 1-1 with its outsides.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Hypercubes and graph theory
  1. Graph Theory (Replies: 3)

  2. Graph theory (Replies: 5)

  3. Graph theory (Replies: 10)

  4. Graph Theory (Replies: 3)

  5. Graph Theory (Replies: 1)

Loading...