Can Equations Be Purely Aesthetic?

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SUMMARY

The forum discussion centers on a contest aimed at creating aesthetically pleasing mathematical equations. Participants are encouraged to submit one valid equation, with the winner receiving Carlo Rovelli's book "Seven Brief Lessons on Physics." Notable entries include the Double Gaussian wavefunction and the Binet's Fibonacci number formula, both praised for their beauty and symmetry. The contest emphasizes creativity over significance, inviting members to appreciate equations purely for their visual appeal.

PREREQUISITES
  • Understanding of mathematical notation and terminology
  • Familiarity with concepts in physics and mathematics, such as wavefunctions and Fibonacci sequences
  • Knowledge of the aesthetic principles in mathematics
  • Basic comprehension of equations and their validity
NEXT STEPS
  • Explore the properties of the Double Gaussian wavefunction in quantum mechanics
  • Study the Binet's formula and its applications in number theory
  • Research the aesthetic aspects of mathematical equations and their historical significance
  • Investigate the relationship between mathematics and art, particularly in visual representations
USEFUL FOR

This discussion is beneficial for mathematicians, physicists, educators, and anyone interested in the intersection of aesthetics and mathematics. It provides insights into how equations can be appreciated beyond their functional significance.

  • #121
A⊥=-(PG)/3*R
P=M/V
R: radius
An equation written by Leonard Susskind in his lessons which not only shows how to calculate the force of a gravitational field onto an object but is shows the mystery and challenge of gravity an unknown divergence.
 
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  • #122
Wow, I leave town for a few days and come back to a whole bunch of love from PF. I guess the lesson is that I need to go on vacation more often.

Ygggdrasil said:
Since no one specified that the equation had to be a math equation, have a chemical equation:

I actually considered something along these lines myself. Maybe Ru-catalyzed olefin metathesis, or Pd-catalyzed cross coupling. Something about those catalytic cycles reminds me of the factory scenes in Looney Tunes (plus, the metallacycles formed within the catalytic cycles strike me as sort of a chemical epicycle). I also find the syntheses of molecules like dodecahedrane and cubane to be quite beautiful.
 
  • #123
strangerep said:
Don't get me wrong. I, too, can perceive beauty-in-meaning. Indeed, I'm sure I'd enjoy a brief Insights article explaining Micromass's entry more extensively.

But this contest is about visual beauty, as Greg already explained.
Well, one must understand the meaning of the equation to see the beauty.
I personally don't see absolutely anything in these equations. In fact, the way most of them are written looks ugly and scary to me. That's because I have absolutely no idea what they mean.
I could only like pythagoran theorem and one explained by collinsmark because the meaning of it seemed beautiful to me.
I was once forced by a teacher to draw a picture using equations for homework. Well my tutor gave me so many hints and explained everything for so long that he finally made me draw a simple picture of a Chinese man in a hat using equations. It was interesting but I still didn't see the beauty of it as I never really understood what the heck those equations are about.
To me, equations are like beautiful poetry written in hieroglyphs. You can't appreciate it without first understanding the language.
 
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  • #124
TeethWhitener said:
I actually considered something along these lines myself. Maybe Ru-catalyzed olefin metathesis, or Pd-catalyzed cross coupling. Something about those catalytic cycles reminds me of the factory scenes in Looney Tunes (plus, the metallacycles formed within the catalytic cycles strike me as sort of a chemical epicycle). I also find the syntheses of molecules like dodecahedrane and cubane to be quite beautiful.

I would also agree that those would be good examples of beautiful chemical equations.
 
  • #125
E=IR

Simple. Classic. Clean lines. Gracefully applicable, yet ruggedly utilitarian, like a Brannock Device or a Mongol 482 pencil.

Also, just always a personal favorite equation. I always 'just liked it'.

I can imagine that it's personal soundtrack is _Joy_ by Apollo 100.

--diogenesNY
 
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  • #126
Congrats to @TeethWhitener who's equation won with 26 votes!

TeethWhitener said:
Well, if it's just aesthetics and not significance, then how about this:
1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\cdots}}} = \sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}}
 
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