What's the perfect mathematical formula for my next tattoo?

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Discussion Overview

The discussion revolves around selecting a mathematical formula for a tattoo, focusing on aesthetics, personal significance, and mathematical beauty. Participants share their thoughts on various formulas, exploring their meanings and implications within physics and mathematics.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses a desire for a tattoo that represents deep insight and mathematical beauty, considering options like E=mc² and Euler's identity.
  • Another participant mentions Bell's Inequality as a formula that evokes a strong emotional response, emphasizing the personal nature of such choices.
  • Several participants propose Euler's identity and discuss its aesthetic appeal, while one participant critiques its popularity and suggests that its significance is often misunderstood.
  • A participant presents the formula \prod_{p~\text{prime}}{\frac{1}{1-p^{-2}}}=\frac{\pi^2}{6} as a beautiful connection between prime numbers and pi, highlighting its algebraic and geometric significance.
  • Another suggestion includes the beginnings of the proton-proton chain as a representation of stellar power.
  • Some participants express uncertainty about their own favorite formulas, indicating a desire for more ideas.
  • There is a discussion about the Basel problem and its relation to the formula involving primes, with differing opinions on their complexity and significance.
  • One participant mentions wanting an organ donor indicator tattoo, indicating a personal and practical approach to tattoo choices.
  • Ultimately, the original poster indicates they have narrowed down their choices and are working on designs, moving away from Euler's identity and E=mc².

Areas of Agreement / Disagreement

Participants express a variety of opinions on what constitutes a beautiful or meaningful mathematical formula for a tattoo. There is no consensus on a single formula, as preferences vary widely based on personal significance and aesthetic appeal.

Contextual Notes

Participants reference various formulas and their meanings without resolving the complexities or assumptions behind them. The discussion includes personal interpretations and emotional responses to mathematical concepts.

Who May Find This Useful

Individuals interested in mathematics, physics, and personal expression through tattoos may find this discussion relevant, particularly those seeking inspiration for meaningful designs.

SamirS
So I already have two molecules (chemically valid, the artistic interpretation never overrides that validity!) which have a very special meaning to me tatooed on my left and right shoulder.

I'm still very much a beginner, only starting to study physics, however I do understand a fair bit of it and math already.

As a representation of that, I want to have one formula tatooed. It should represent a deep insight, it should be mathematically beautiful and also pleasing to the eye (have a kind of optically aesthetic harmony). E=mc² is too cliche, but I'm considering it. Euler's identity is also a candidate.

So I hope you have some ideas and/or recommendations for me, and I'll post pictures when it's done, of course!
 
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I think if you study physics a while, you'll inevitably come across a formula that makes you just come to a full stop and say, holy crap!

Like, Bell's Inequality...that one got me :eek:

But it's very personal - what does it for one person may not do it for another.
 
PS what are your molecules?
 
Perhaps you could get a tattoo of an empty command prompt "> " as you wait for our input.
 
If you're interested, send me a PM, I'd rather answer that question privately :)

Well, so far Euler's Identity just hit me like a rock. I knew it as text (not knowing the meaning), but after I learned the things behind it, and THEN looking at it again, well, the sense of awe how much beauty lies there...

In physics it is actually E=mc² so far, it's simple, fundamental, and I'll definitely put it in ink, too - I'm rather just collecting ideas right now :)
 
Unintended Doublepost
 
The absolute, most beautiful mathematical formula is the following for me:

\prod_{p~\text{prime}}{\frac{1}{1-p^{-2}}}=\frac{\pi^2}{6}

Why is this formula beautiful? On the left-hand side, you have prime numbers, which is defined by divisibility of the integers. On the right-hand side is pi, which is defined as some relation in the circle. Now, what do circles and prime numbers have to do with each other?? Nothing (on first glance), however they are connected by the above pretty formula. The formula is a deep connection of algebra and geometry, and that's why I like it so much!
 
How about the beginnings of the proton-proton chain leading up to a helium nucleus? (4 Protons converging in an X formation with an alpha particle in the center) You would have the power of a star in your skin!
 
I'm almost certain I will get euler's identity tatooed on my arm.
 
  • #10
SamirS said:
Euler's identity is also a candidate.

If you think e=mc^2 is too cliche, stay away from this. Everyone and their dog has this tattooed on them. I'm not even sure that they understand why it is such an important identity to be honest, sure it is pretty and all but bestowing such a high importance on something to have it tattooed on your body entirely because of its beauty seems kind of daft to me. It's like saying a very beautiful super model who has contributed nothing to society has more worth than someone who contributes lots. It's what the identity demonstrates and says that makes it truly beautiful in my mind and that is what I think a lot of these people don't understand.Hmm, harmless post turned rant.
 
  • #11
1MileCrash said:
I'm almost certain I will get euler's identity tatooed on my arm.

don't! I never liked eulers identity. The result is pretty, but the derivation is ugly and crude IMO.

My favorite equation is Faraday's Law, but Maxwell's equations are soooooooooooo cliche. :rolleyes:
 
  • #12
micromass said:
\prod_{p~\text{prime}}{\frac{1}{1-p^{-2}}}=\frac{\pi^2}{6}

:!) Pretty! Any name to that, or is it just a... formula?
 
  • #13
Everyone has their favorites...Still tryin to figure out what mine is. Need...More...Tattoos..
 
  • #14
Go with this one, kind of wrapped around your arm, with the portion on the front of your arm blue, slowly shifting to red by time it reaches the back of your arm:

f=\left( \frac{v+v_r}{v+v_{s}} \right) f_o \,
 
  • #15
SamirS said:
So I already have two molecules (chemically valid, the artistic interpretation never overrides that validity!) which have a very special meaning to me tatooed on my left and right shoulder.

I'm still very much a beginner, only starting to study physics, however I do understand a fair bit of it and math already.

As a representation of that, I want to have one formula tatooed. It should represent a deep insight, it should be mathematically beautiful and also pleasing to the eye (have a kind of optically aesthetic harmony). E=mc² is too cliche, but I'm considering it. Euler's identity is also a candidate.

So I hope you have some ideas and/or recommendations for me, and I'll post pictures when it's done, of course!

You may want to take a look at this thread started by chroot. I don't know if he ever got one but there are a lot of ideas here.

https://www.physicsforums.com/showthread.php?t=180444"
 
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  • #16
i agree with pergradus. something about faraday's law that just does it for me. no, she's not witty, she's probably not the prettiest belle at the ball, but she knows how to rock what she does have and i dig that.
 
  • #17
micromass said:
The absolute, most beautiful mathematical formula is the following for me:

\prod_{p~\text{prime}}{\frac{1}{1-p^{-2}}}=\frac{\pi^2}{6}

Why is this formula beautiful? On the left-hand side, you have prime numbers, which is defined by divisibility of the integers. On the right-hand side is pi, which is defined as some relation in the circle. Now, what do circles and prime numbers have to do with each other?? Nothing (on first glance), however they are connected by the above pretty formula. The formula is a deep connection of algebra and geometry, and that's why I like it so much!

Really, what is this?
 
  • #18
How about "0.999... = 1"
 
  • #19
Borek said:
:!) Pretty! Any name to that, or is it just a... formula?

I don't know if it has a name -- I would just call it zeta(2).
 
  • #21
Borek said:
:!) Pretty! Any name to that, or is it just a... formula?

There is definitely a name for this formula. I just can't recall atm. I'll go find it.

EDIT I remember it was proved by Euler

EDIT #2 ------ Found it!

It's called the basel problem

Here is the link to where Euler solved it:

http://en.wikipedia.org/wiki/Basel_problem

Scroll down to the part where "Euler Attacks the Problem"


Wait... This isn't exactly it, but it has the same result.
 
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  • #22
BloodyFrozen said:
Wait... This isn't exactly it, but it has the same result.

Quite different I would say, Basel problem formula looks (in a way) trivial compared to the one micromass posted. In one case summation goes through natural numbers, in other case product goes through primes.
 
  • #23
Borek said:
Quite different I would say, Basel problem formula looks (in a way) trivial compared to the one micromass posted. In one case summation goes through natural numbers, in other case product goes through primes.

I guess if the OP is looking for a conversation piece, one's been found. :biggrin:

I personally just always wanted an organ donor indicator tattoo of some form, in some hidden spot that would be seen by medical workers, to make my last wishes known (although the spouse and I have discussed this in detail already and are in agreement).
 
  • #24
Borek said:
Quite different I would say, Basel problem formula looks (in a way) trivial compared to the one micromass posted. In one case summation goes through natural numbers, in other case product goes through primes.

True,True.
 
  • #25
Guys,

thanks a lot for your help. I've also browsed the links and I think I know what it will be. It won't be Euler's, and also not E=mc² ;) .

I've sorted out three different ones and are trying out designs in Photoshop and the next step is taking them to the artist to see which one fits best and decide on that basis. I'll post pictures when it's finished.

The red/blue shift post also gave me some interesting ideas!

As the two different molecules are on the left and right shoulder, respectively, and wrap around the delta to the pectoralis on the front and the teres major on the back, the formula (my criteria are a lot like chroot's except the size isn't as limited) will connect the molecules.

I don't want it to be visible to anyone in a t-shirt (just like my other tatoos are hidden as well) because it's more of a personal thing than a "hey I'm so clever, I'll even tatoo my IQ"-thing.
 

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