this post was submitted on 14 Mar 2024
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Science Memes

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[–] ns1@feddit.uk 153 points 8 months ago (6 children)

More likely a mathematician would correct you instead of crying. Pi is not infinite, its decimal expansion is infinite!

[–] zkfcfbzr@lemmy.world 86 points 8 months ago (1 children)

Plus even that isn't enough: 10/3 has an infinite decimal expansion (in base 10 at least) too, but if π = 10/3, you'd be able to find exact circumferences. Its irrationality is what makes it relevant to this joke.

A mathematician is also perfectly happy with answers like "4π" as exact.

Plus what's to stop you from having a rational circumference but irrational radius?

Writing this, I feel like I might have accidentally proved your point.

[–] danc4498@lemmy.world 13 points 8 months ago

Mathematicians taking a physics class and being told they have to round things. That’s when the tears start flowing.

[–] magic_lobster_party@kbin.run 31 points 8 months ago (1 children)

Its decimal expansion is finite in the base pi.

[–] Steve@startrek.website 8 points 8 months ago (1 children)
[–] Eatspancakes84@lemmy.world 9 points 8 months ago (1 children)

No 10. 1 is the same number in any base.

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[–] chillhelm@lemmy.world 19 points 8 months ago (1 children)

This is the correct answer. Pi is known. What it's decimal expansion looks like is irrelevant. It's 1 in base Pi.

[–] cogman@lemmy.world 7 points 8 months ago

Yup, similar to the square root of two and Euler's number.

These are numbers defined by their properties and not their exact values. In fact, we have imaginary numbers that don't have values and yet are still extremely useful because of their defined properties.

[–] Carnelian@lemmy.world 17 points 8 months ago (1 children)

The actual punchline here should have been “there is no known equation to calculate the exact perimeter of an ellipse”, then sucking tears from an astrophysicist

[–] marcos@lemmy.world 10 points 8 months ago (2 children)

Try it when you find some physicist that cares about exact values. Or when you see pigs flying over your head, both are about as likely.

[–] Carnelian@lemmy.world 8 points 8 months ago (1 children)
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[–] bstix@feddit.dk 103 points 8 months ago (3 children)

Easy. Take a wire that is exactly 1 meter long. Form a circle from the wire. The circumference of that circle is 1 meter.

[–] funkless_eck@sh.itjust.works 18 points 8 months ago (7 children)

"exactly"

uh huh. and how are you measuring that?

[–] lemmyman@lemmy.world 30 points 8 months ago (1 children)

Now the engineers and/or scientists are crying

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[–] HopFlop@discuss.tchncs.de 17 points 8 months ago (2 children)

You don't need to, it's defined. (Lol). If you take a circle with a circumference of 1, then its circumference will be 1... I think I might have lost some braincells reading this.

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[–] Blue_Morpho@lemmy.world 12 points 8 months ago

I don't have to measure it. I stick under glass and define it as the standard which all other measurements are derived from.

[–] bstix@feddit.dk 11 points 8 months ago (1 children)

I will be measuring it in meters. One. There you go.

[–] MxM111@kbin.social 7 points 8 months ago

Ok, you got another source of water - physicists.

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[–] guywithoutaname@lemm.ee 68 points 8 months ago (1 children)

Not true. If you define the circumference in terms of pi, you can define the circumference exactly.

[–] gmtom@lemmy.world 6 points 8 months ago (2 children)
[–] GnomeKat@lemmy.blahaj.zone 43 points 8 months ago (2 children)

Putting things in base 10 is also a definition. Digits aren't special.

[–] h3ndrik@feddit.de 27 points 8 months ago* (last edited 8 months ago) (14 children)

Was going to say the same. Also π isn't infinite. Far from it. it's not even bigger than 4. It's representation in the decimal system is just so that it can't be written there with a finite number of decimal places. But you could just write "π". It's short, concise and exact.

And by that definition 0.1 is also infinite... My computer can't write that with a finite amount of digits in base 2, which it uses internally.

So... I'm crying salty tears, too.

[Edit: And we don't even need transcendental numbers or other number systems. A third also doesn't have a representation. So again following the logic... you can divide a cake into 5 pieces, but never into 3?!]

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[–] HopFlop@discuss.tchncs.de 16 points 8 months ago

That doesnt make a difference. You can find the exact circumference of a circle, you just cant express it in the decimal system as a number (thats why we have a symbol for it so you can still express the exact value)

[–] Zerush@lemmy.ml 65 points 8 months ago (5 children)
[–] seliaste@lemmy.blahaj.zone 22 points 8 months ago* (last edited 8 months ago)

Pi = 4! = 4×3×2 = 24

[–] nachtigall@feddit.de 15 points 8 months ago (5 children)

Omfg why can’t I figure out why this does not work. Help me pls

[–] RandomStickman@kbin.run 33 points 8 months ago* (last edited 8 months ago) (1 children)

I think it's because no matter how many corners you cut it's still an approximation of the ~~circumference~~ area. There's just an infinite amount of corners that sticks out

[–] marcos@lemmy.world 25 points 8 months ago (1 children)

There’s just an infinite amount of corners that sticks out

Yes. And that means that it is not an approximation of the circumference.

But it approximates the area of the circle.

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[–] Zerush@lemmy.ml 24 points 8 months ago

It's a fractal problem, even if you repeat the cutting until infinite, there are still a roughness with little triangles which you must add to Pi, there are no difference between image 4 and 5, the triangles are still there, smaller but more. But it's a nice illusion.

[–] ArmokGoB@lemmy.dbzer0.com 9 points 8 months ago (1 children)

Because you never make a circle. You just make a polygon with a perimeter of four and an infinite number of sides as the number of sides approaches infinity.

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[–] ArmokGoB@lemmy.dbzer0.com 9 points 8 months ago (1 children)

The lines in this are askew and it's mildly annoying

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[–] janAkali@lemmy.one 64 points 8 months ago (8 children)

Who said Pi is infinite? If we take Pi as base unit, it is exactly 1. No fraction, perfectly round.

Now everything else requires an infinite precision.

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[–] UndercoverUlrikHD@programming.dev 44 points 8 months ago (1 children)

Let's say you got a circle with radius 1/π...

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[–] Dippy@beehaw.org 34 points 8 months ago (1 children)

Nasa uses 15 digits of pi for solar system travel. And 42 digits is enough to calculate the entire universe to atomic accuracy

[–] Malgas@beehaw.org 15 points 8 months ago (2 children)

And 65 digits is sufficient to calculate the circumference of the visible universe to within a Planck length.

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[–] amio@kbin.social 32 points 8 months ago (1 children)

Yeah, calling pi infinite makes me wanna cry, too.

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[–] LordOfLocksley@lemmy.world 23 points 8 months ago (4 children)

Not if your diameter is d/pi. Then your circumference is d, where d > 0.

Check mate atheists.

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[–] UsernameIsTooLon@lemmy.world 18 points 8 months ago

Technically you can't measure anything accurately because there's an infinite amount of numbers between 1 and 0. Whose to say it's exactly 1? It could be off by an infinite amount of 0s and 1.

Achilles and the Tortoise paradox.

[–] ooterness@lemmy.world 15 points 8 months ago* (last edited 8 months ago)

Joke's on them, tears are too salty to provide hydration.

[–] lowleveldata@programming.dev 14 points 8 months ago

The circumference of a circle with a diameter of 1 cm is exactly π cm. There you have it.

[–] idiomaddict@feddit.de 11 points 8 months ago (1 children)
[–] KidnappedByKitties@lemm.ee 8 points 8 months ago

Bah, the universe is too messy and disordered to be worth the trouble

[–] JoYo@lemmy.ml 7 points 8 months ago

Besides measuring it with a measuring tape.

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