Can Equations Be Purely Aesthetic?

  • Thread starter Thread starter Greg Bernhardt
  • Start date Start date
  • Tags Tags
    Art Contest
Click For Summary

Discussion Overview

The discussion centers around the aesthetic appeal of mathematical equations, inviting participants to share equations they find beautiful or interesting purely from an aesthetic perspective, rather than their significance or applications. The scope includes creative and valid equations, with a focus on personal interpretations of beauty in mathematics and physics.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • Some participants propose equations like the Double Gaussian wavefunction, citing its symmetry and ease of use as aesthetically pleasing.
  • Others present the Binet's Fibonacci number formula, linking its beauty to the golden ratio and the Fibonacci sequence it generates.
  • Several participants mention famous equations such as Euler's identity and the Pythagorean theorem, emphasizing their classic status and personal significance.
  • One participant introduces the continuity equation, describing it as an elegant representation of mass conservation.
  • Another participant discusses the relationship between prime numbers and the number pi, highlighting the beauty in their unexpected connection.
  • Some participants explore hypothetical equations from alternate realities, suggesting beauty in the concept of parallel universes.
  • There are multiple mentions of the same equations, such as Euler's identity and the product over primes, indicating a shared appreciation for these mathematical expressions.

Areas of Agreement / Disagreement

The discussion features a variety of equations and interpretations of beauty, with no clear consensus on which equation is the most beautiful. Participants express differing opinions on what constitutes aesthetic appeal in mathematics.

Contextual Notes

Participants express personal preferences and interpretations of beauty, which may depend on individual experiences and mathematical backgrounds. The discussion does not resolve the subjective nature of aesthetic appreciation in mathematics.

  • #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.
 
Mathematics news on Phys.org
  • #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.
 
Last edited:
  • Like
Likes   Reactions: 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
 
  • Like
Likes   Reactions: 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}}}}
 
  • Like
Likes   Reactions: MexChemE and ProfuselyQuarky

Similar threads

  • · Replies 89 ·
3
Replies
89
Views
14K
Replies
15
Views
41K