Can Equations Be Purely Aesthetic?

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The discussion centers around a contest to create the most aesthetically pleasing mathematical equation, emphasizing creativity over significance. Participants are encouraged to submit one valid equation, which can be original or well-known, and to vote for their favorites using the "like" button. The contest aims to celebrate the visual beauty of equations rather than their mathematical importance. Various equations are shared, including famous ones like Euler's identity and the Pythagorean theorem, as well as unique creations. Participants express their appreciation for the elegance of equations, discussing how beauty can be subjective and influenced by personal experiences with mathematics. The contest closes on a specified date, with the winner receiving a book by Carlo Rovelli. The conversation also touches on the relationship between aesthetics and meaning in mathematics, highlighting differing perspectives on what constitutes beauty in equations.
  • #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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Likes micromass and collinsmark
  • #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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Likes Greg Bernhardt
  • #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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Likes MexChemE and ProfuselyQuarky

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