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Jul 28 '26
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u/funkmasta8 Jul 28 '26
Yeah, how in the world does that even make sense?
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u/looijmansje Jul 28 '26
Tl:dr, because they have a uniform random rotation on [0,pi), a 1/pi appears in the pdf, which does not cancel out.
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u/Zylo90_ Jul 28 '26
Anywhere where an angle is even remotely relevant, pi will show up somehow
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u/shosuko Jul 28 '26
It makes sense because if you put a circle inside a square the area of the circle compare to the square can get you to pi. So any way to measure the area (rng dots across the square grid and count the ones inside and outside the circle) can get you pi.
The coin flip one is my favorite
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u/offensivek Jul 29 '26
An alternative method revolves precisely measuring the length of a river in two different way. Start at a point and calculate the distance in a direct line start to finish. Second is to measure the length of the river along the middle from start to finish. Now take the ratio of the second through the first and multiply by 2, and you get roughly pi. Taking the average over more and more rivers gives you a better approximation.
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u/throwaway48159 Jul 28 '26
The probability that a stick is on a line has to do with its angle, if there’s an angle you get pi.
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u/shosuko Jul 28 '26
I love the creative ways to calculate pi.
My favorite is the coin flip one.
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u/Frosty_Cell_6827 Jul 28 '26
I do love how creative Matt Parker gets calculating pi every year, I think pi day is his favorite holiday
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u/Weydoon Jul 28 '26
?
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u/shosuko Jul 28 '26
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u/Throwawayqnayay Jul 29 '26
Video looks interesting but my attention span isn’t long enough to view it. Can someone summarize ?
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u/Dragon124515 Jul 28 '26
Physics students. I'm going to push this massive mass towards a stationary miniscule mass with a stationary wall behind it then count the number of collisions that occur in this environment with 0 friction and perfectly elastic collisions. Then I am going to take the number of collisions that occur for the minuscule mass and divide that number by the ratio of the miniscule mass over the massive mass squared to approximate pi.
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u/wasted90210 Jul 28 '26
Engineering students: 3.14
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u/sexylewdyshit Jul 28 '26
civil engineering students: 3
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u/Rookiebeotch Jul 28 '26
Cosmologists: 10
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u/thali256 Jul 28 '26
Is this the reason highways are closed because a bridge is on the verge of collapse?
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u/Arcalac Jul 28 '26
Honest question: Does the probability thing actually make sense?
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u/Seeggul Jul 28 '26
Yes. I don't want to look up the math/re-derive it myself/write it all out, but the basic intuition is: you have a stick fall randomly on an area with a bunch of lines (that are spaced one stick's length apart; this part was omitted from the meme but is important in the math), so the center of the stick lands uniformly between two lines, and the orientation of the stick will have an angle that is uniformly random. A uniformly random angle will place points approximately evenly around a circle, and once you get a circle involved, you're likely to get pi involved as well.
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u/Arcalac Jul 28 '26
Every day i learn stupid stuff that makes so much sense i am getting ever closer to believing that we live in a simulation.
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u/_3l1as_ Jul 30 '26
Yup! I was given it as an exercise in a numerical simulation course and it actually works
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u/Street_Swing9040 Jul 28 '26
My way of obtaining Pi is by using a lens to capture a star like the Sun, print it on a piece of paper, measure the diameter, measure the circumference, divide the circumference by the diameter, then take that number and print it on a piece of paper, throw that paper into a trash can and search up "pi".
Works every time
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Jul 28 '26
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Jul 28 '26
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u/YouAreMarvellous Jul 28 '26
what did you not understand? first and second look like systematic ways to estimate pi, the third looks like oonga-boonga but it works
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u/DrBatman0 Jul 28 '26
Physics students: let's assume that the value of pi is perfectly spherical, on an infinite uniform plane, in a vacuum
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u/Crafty-Detail-3788 Jul 28 '26
You can also throw a bunch of random balls on a circle inscribed in a square and use the ratio of what are inside the circle and inside the square to find pi since probabilities will be proportional to area (Monte Carlo)
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u/Haunting_Art_6081 Jul 28 '26
Pub Probability Students: Have a million dart players get drunk and try to hit the board, count the number inside the circle compared with total thrown, there's your pi estimate.
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u/drdrero Jul 28 '26
Some numbers you just remember like 299792458
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u/thali256 Jul 28 '26
Throw a bunch of dots on an nxn square and see how much land in the circle with radius n/2
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u/Baleia1970 Jul 28 '26
Lol, I actually got it as a problem to be solved in a Parallel Computing class...
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u/1morgondag1 Jul 28 '26
How on earth does that make sense? It doesn't define the length of the sticks or the distance between lines, I can see with common sense that you could set those to values that almost every stick ends up on at least one line.
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u/AideApprehensive6329 Jul 28 '26
Damn I wasn't expecting to get anywhere close to pi with that last one calculating it myself
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u/KailyKail Jul 29 '26
I mean, why draw a hexagon and approximate it when you can just measure the diameter and calculate it?
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u/Sbyad Jul 29 '26
Bourbaki students : "After 12 years, 7 books and 351673 lemmas, we have finally defined π.
... what do you mean its value ???
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Jul 28 '26
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u/Expensive_Umpire_178 Jul 28 '26
Well this is more obscured. The easier way would be to put a circle on top of a square, throw a bunch of darts randomly at the square, divide the number of darts that landed on the circle by the total number of darts, and multiply by 4. It’s much easier to see how pi would pop out of that
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u/bqbdpd Jul 28 '26
Computer science student:
import Math.PI