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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


    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


    [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


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    Science Advisor

    Re: Question

    you would have the mass of the "mandelbrunch" whose insides are 1-1 with its outsides.
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