# Hypercubes and graph theory

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

If you eat yourself, your mass would remain the same, right? Hmmm...

DaveC426913
Gold Member

The latest one is: Square + cube = ?
Define "+" in this equation.

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.

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Totally ignored

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If you eat yourself, your mass would remain the same, right? Hmmm...

....

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.

Deveno