What is beauty for Math?

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  20 hours ago

  " ...finding the solution of a problem involves a great deal of rather vague reasoning, following hunches, making
  guesses and so on.
  
  How does one know whether one of these guesses will survive a later,more rigorous scrutiny?
  
  Well, one doesn't, as I stressed earlier, but it is a good rule of
  thumb that the more beautiful the guess, the more likely it is to survive."
  

  - Timothy Gowers on 'The importance of mathematics'
  
  
  Comment:
  
  X: but beauty is in the eye of the beholder - which makes it relative 
  

  Y: well. not really that relative...beauty in math is very recognizable: Fibonacci numbers, golden number,Fermat numbers, prime numbers, the bell-curve of normal distribution, etc...
• in essence, one strikes me the most is that beauty in math came from tension between simplicity and complexity;

  if the proof of the theorem is too complex that it resulted to confusion, hence, it is not beautiful;

  if it is too simple that it became trivial, hence, it is not beautiful.

  incredibly, its the tension between complexity and simplicity. i am not sure if tension means balance. but i prefer tension better.