For those who might be interested in what’s going on, this is a demonstration of how the distribution of results from a series of binomial trials (in this case left or right) will tend towards the normal distribution when repeated enough. If it’s something that piques your interest, take a look at the central limit theorem; really interested bit of maths going on here.
tacolength In the era of the internet, you don't need to pay for a course to learn highly advanced math. To get credit for it towards a degree or technical certification, yes, you need to pay for a course. But if you just want to learn for the sake of learning, free online resources can be just as good as a traditional classroom setting. Sometimes better.
Random walk problem in one dimension, with equal probability of going left or right in each step. Therefore Bernoulli trials generating a binomial distribution, that in the limit of an infinite number of steps gives us the normal distribution.The issues with this toy is that the ball bearings interact with each other and the horizontal range is fixed.
As a Science Fair project that I did one year my Dad helped me construct a much bigger plexiglass Galton Board which ball bearings fell into and made the same bell curve pattern just like what your smaller version did in this video of yours. Too bad that I didn't experiment more with board so the judges marked that my project was more of a demonstration than as an actual experiment which hurt me from receiving a more coveted Science Fair prize. But at least I got a B+ with my project, which of course never hurts anyone
Technically, the distribution is the *binomial distribution* and that is why there's Pascal's triangle there because it's intimately connected to the distribution. However, you weren't that far off, in the limit where you have infinitesimally thin compartments the binomial distribution converges to the normal distribution so that's why people just interchange their names freely. Also the Pascal triangle drawn on top of the pegs tells you the number of paths down that take a bead from the top corner down to the corresponding peg. For example with the first number 2 there are 2 paths from the top corner to there. Not trying to be pedantic, just providing some insight because people seeing this for the first time would probably think that it's just a fancy decoration with no relation to the underlying process
Ah, Sir Francis Galton, you might have been the father of Eugenics but you were sure a smart cookie in other areas. Regression to the mean, biometrics, fingerprinting, meteorology, all have had an impact by the man.
I know each of these rows as the coefficients of (x+1)^n, where n is the corresponding row of the triangle. (They’re not quite the same: the top of the triangle corresponds to n=0.) That is: (x+1)^3 = x^3+3x^2+3x+1
I am subscribed to both Grand Illusions and Numberphile and today both channels released videos that called out the golden ratio and I just watched them back to back without knowing this beforehand.
Happy coincidence...I sub to Numberphile as well and they released a video today on the Golden Ratio and "why it's so irrational", which I'm about to watch.
You're right, because the Fibonacci series is not featured in Pascal's triangle, because its structure is different. The Fibonacci series is exponential, whereas diagonal lines in Pascal's triangle are polynomial.
It is possible to obtain the Fibonacci sequence from Pascal’s triangle however, by adding up numbers along the diagonals. Starting from the left hand side, if you add up all of the numbers that are connected by the lines at 120degrees, these will add up to the corresponding term in the Fibonacci sequence. Starting from the left most numbers will give you the odd terms of the sequence, to obtain the even terms, start from the second diagonal (the 1, 2, 3, 4, etc). It’s a bit fiddly for the first few terms, but is a bit clearer once you get further down the triangle. For example, if you start at the 4th 1 down the left hand side, it is connected by the 120deg line to 6, 5 and 1, and 1+6+5+1=13, the 7th term in the Fibonacci sequence. Edit; I’ve just watched the video again, and you can briefly see at the start that this process seems to be described on the side of the box.
No, Tim, they are not ball bearings, they are bearing balls. A ball bearing is a complete assembly of balls, including inner and outer races, cage, and dust shields.
(TRADUZIR)Oi Sou. Brasilero moro no brasil em sao paulo mesmo que eu n comsiga fala sua lingua eu asisto os seus videos todos os dias amo. Eles e sao legais parabems pelo lindo canal
I'm so bossy, chap, get off me It's a different jingle when you hear these balls, see? Your GB's missin' an I, fella Your balls missin' a curve The common theme, see they both got wings If you flip, do it to death It's only one machine, and it's only one board So it's only one Tim that can cure you when you're bored King Tim, kingpin, overlord Coast Guard come when nile water's been poured I got toys with the best of 'em Got puzzles made by a Mexican Don't let the side balls settle in Cuz, that ain't normal distribution Balls, I put Galton on the board Hard to handle Pascal triangles of a sort Whether flippin' or I'm flippin' off this style Might reach back and relapse to water from the Nile Fibonacci fittin' like it's meant to be We really pawnstars, I'm like Chumlee No Lightyear, Tim's toys are that close Smart box, heh, from here anything goes Balls, I put Galton on the board Balls, I put Galton on the board
Hmst'd've, intresting Awesome!!! 1:22 toy for *statistic boy!* 2:49 Hopper (UK) means funnel (US). Wow, I learnt new vocabulary!! Duper Awesome!!! Right?
For those who might be interested in what’s going on, this is a demonstration of how the distribution of results from a series of binomial trials (in this case left or right) will tend towards the normal distribution when repeated enough. If it’s something that piques your interest, take a look at the central limit theorem; really interested bit of maths going on here.
and if you have the money takes a statistics course
tacolength
In the era of the internet, you don't need to pay for a course to learn highly advanced math.
To get credit for it towards a degree or technical certification, yes, you need to pay for a course.
But if you just want to learn for the sake of learning, free online resources can be just as good as a traditional classroom setting. Sometimes better.
binomial trials from the Nile
Shenmue II - game of Lucky Hit
0prahTV - LOL 😆
I love Tim. He is just such a happy little old man and it just warms up my heart.
Ahh Tim
Making another day great by showing us your collection
Random walk problem in one dimension, with equal probability of going left or right in each step. Therefore Bernoulli trials generating a binomial distribution, that in the limit of an infinite number of steps gives us the normal distribution.The issues with this toy is that the ball bearings interact with each other and the horizontal range is fixed.
Fascinating. A peak at how the universe follows specific rules. You would think the distribution would be random.
Thank you so much for this video. This item is £40.00 from Amazon so you saved me a lot of money with your excellent illustration.
As a Science Fair project that I did one year my Dad helped me construct a much bigger plexiglass Galton Board which ball bearings fell into and made the same bell curve pattern just like what your smaller version did in this video of yours.
Too bad that I didn't experiment more with board so the judges marked that my project was more of a demonstration than as an actual experiment which hurt me from receiving a more coveted Science Fair prize. But at least I got a B+ with my project, which of course never hurts anyone
There's a giant one at the Henry Ford museum here in the Detroit area. It's quite mesmerizing to watch
Technically, the distribution is the *binomial distribution* and that is why there's Pascal's triangle there because it's intimately connected to the distribution. However, you weren't that far off, in the limit where you have infinitesimally thin compartments the binomial distribution converges to the normal distribution so that's why people just interchange their names freely.
Also the Pascal triangle drawn on top of the pegs tells you the number of paths down that take a bead from the top corner down to the corresponding peg. For example with the first number 2 there are 2 paths from the top corner to there.
Not trying to be pedantic, just providing some insight because people seeing this for the first time would probably think that it's just a fancy decoration with no relation to the underlying process
2:51 that was almost perfect.
I still don’t understand why this is so entertaining but god damn do I love this man
Why do i find these videos so entertaining they are fun to watch
Your videos are super calming especially to watch before bed. Thank you for making such fun videos :)
Showed this to my statistics professor. He was actually thrilled and wants to buy one
Unbelievable demonstration
this was allways one of my favorite things in math and I love that I share this interest with Tim. Mabye I will buy one of these myself one day :)
Very mesmerizing. That must mean that with things like pachinko, it's the best idea to drop the coin above your target.
I AM EARLY TO SEE TIM DO REVIEWING YAYYYYY
Poppies Popplio, it says your comment has been here for 16 hours....then on the video it says 15 hours...you were really early. Lol
when you think he's about to say "wow" but he says "oh my" 3:05
Ah, Sir Francis Galton, you might have been the father of Eugenics but you were sure a smart cookie in other areas. Regression to the mean, biometrics, fingerprinting, meteorology, all have had an impact by the man.
You could put a piece or cardboard or something under it to tilt it slightly, to see how it affects the distribution.
Lovely stuff,Tim
I know each of these rows as the coefficients of (x+1)^n, where n is the corresponding row of the triangle. (They’re not quite the same: the top of the triangle corresponds to n=0.)
That is: (x+1)^3 = x^3+3x^2+3x+1
That looks so satisfying.
I wonder which child would play for hours with this toy ! Very interesting for older children though ! Excellent !
Man I love these sounds
I am subscribed to both Grand Illusions and Numberphile and today both channels released videos that called out the golden ratio and I just watched them back to back without knowing this beforehand.
This is also a good demonstration of chaos theory
you are THE MAN tim !!!
You know you hit the big league when Vsauce makes a video after you show a toy.
God has uploaded
A e s t h e t i c did u make prison life on roblox
Duncan F. oh how I wish.
[Aegus] me or u
Tim knows his math !
what is he on about with the fibonacci series? I cant see it anywhere. I mean I can see 2 1's, and a 2, and a 5, etc, but not in any sort of order.
Diagonals of the Pascal triangle add up to Fibonacci numbers.
the numbers arent actually on the triangle, you need to add them: www.maplesoft.com/view.aspx?SI=3617/pascaltriangle1.gif
Use Norm CDF to find the area under the curve
Cheers, Tim!
Don't miss the single brass ball! It demonstrates the variability of a single X.
Love your curious thingamabobs
Can someone tell me the odds of the board doing pretty much the opposite of what the normal line says?
How about a game of Lucky Hit?
I think that was fascinating.
Happy coincidence...I sub to Numberphile as well and they released a video today on the Golden Ratio and "why it's so irrational", which I'm about to watch.
are my eyes messing with me or was 2:52 a close to perfect fit for the normal curve
Very interesting! But I don't think I saw exactly where the Fibonacci series was...🤔
Excellent and Thank You Sir.Using it for training.Very useful.Hope you do not have any objection.Please permit
This is the best stuff to watch when...influenced by things, shall we say
Erich Don't be a wuss, no-one will come get you for saying you're high on the internet🤣
Tim is the Legend27 of toys
I heard Tim27 once completed Ball in a cup on his first attempt.
Been a while since I've heard that meme
i heard that any rubik's cube he touches instantly becomes finished
Lullaby
Interesting. Thanks for the video.
very interesting toy!
I wonder if a tilted table would artificially add mass bias towards the edges of the parabola 👀
I don't see the Fibonacci sequence in the diagonals.
You're right, because the Fibonacci series is not featured in Pascal's triangle, because its structure is different. The Fibonacci series is exponential, whereas diagonal lines in Pascal's triangle are polynomial.
It is possible to obtain the Fibonacci sequence from Pascal’s triangle however, by adding up numbers along the diagonals. Starting from the left hand side, if you add up all of the numbers that are connected by the lines at 120degrees, these will add up to the corresponding term in the Fibonacci sequence. Starting from the left most numbers will give you the odd terms of the sequence, to obtain the even terms, start from the second diagonal (the 1, 2, 3, 4, etc). It’s a bit fiddly for the first few terms, but is a bit clearer once you get further down the triangle.
For example, if you start at the 4th 1 down the left hand side, it is connected by the 120deg line to 6, 5 and 1, and 1+6+5+1=13, the 7th term in the Fibonacci sequence.
Edit; I’ve just watched the video again, and you can briefly see at the start that this process seems to be described on the side of the box.
Thanks for that, Lipm, I've never noticed that before :)
Avogadro!
Michael from Veauce has done a Video bout it on DONG channel
Its a visualization of Normal distribution some say Guassian distribution.
... where is the Fibonacci sequence? I can't find it
Wonderful indeed!
There needs to be one that can also demonstrate wave interference and then another for photons.
If We had Infinite Balls Probably It would Fit The Curve Perfectly.
But No one Can Make That Possible in Real Life.
Vsauce has just uploaded a video explaining this board further
Great stuff
This thing is great!
Show it in slow motion.. It will be interesting
R Yaghna Raman Santhosh and macro
No, Tim, they are not ball bearings, they are bearing balls. A ball bearing is a complete assembly of balls, including inner and outer races, cage, and dust shields.
Isn't that called Tartaglia's triangle?
I thought this was going to be boring. I am glad I was wrong.
Tim we want more :-)
(TRADUZIR)Oi Sou. Brasilero moro no brasil em sao paulo mesmo que eu n comsiga fala sua lingua eu asisto os seus videos todos os dias amo. Eles e sao legais parabems pelo lindo canal
is'nt that d pasca's triangle??
I'm so bossy, chap, get off me
It's a different jingle when you hear these balls, see?
Your GB's missin' an I, fella
Your balls missin' a curve
The common theme, see they both got wings
If you flip, do it to death
It's only one machine, and it's only one board
So it's only one Tim that can cure you when you're bored
King Tim, kingpin, overlord
Coast Guard come when nile water's been poured
I got toys with the best of 'em
Got puzzles made by a Mexican
Don't let the side balls settle in
Cuz, that ain't normal distribution
Balls, I put Galton on the board
Hard to handle Pascal triangles of a sort
Whether flippin' or I'm flippin' off this style
Might reach back and relapse to water from the Nile
Fibonacci fittin' like it's meant to be
We really pawnstars, I'm like Chumlee
No Lightyear, Tim's toys are that close
Smart box, heh, from here anything goes
Balls, I put Galton on the board
Balls, I put Galton on the board
Wrong: There's no Fibonacci sequence when going diagonal.
We love you
Can u show toys from Romania?
Vsauce just talked about this
possible crossover?
Ah, very nice!
I dont get how this work?
Math hurt Hulk's head!
Oh I want one!!!
This is my favorit3.
I’d like to own one.
And now we know how to win at Plinko!
There's a room-sized version of this in the Museum of Science and Industry in Chicago. VERY noisy!
What up Morens class
I really would like to see him on the next Harry Potter movies.
Waiting for Grand Illusions ASMR
Galton board from the Nile.
its much bigger then I expected
Hmst'd've, intresting Awesome!!!
1:22 toy for *statistic boy!*
2:49 Hopper (UK) means funnel (US). Wow, I learnt new vocabulary!! Duper Awesome!!! Right?
ur the first comment yay
Very cool
Balls from the Nile.
Did he just say "The Golden Meme" at 2:25? 😂
norweeg mean
Mathematics From The Nile
Something you can only use three times...
Phonotical - I flip my Galton Board several times a day
Probability from the Nile
I love my old man 😘
Oops, no fibonacci along the diagonal
Just flip that back and forth for an hour and get a million views.
Cool
Shut up and take my money!
Worship me mortals
I made the upvote counter go from 999 to 1k. What are the odds?
Boards from the nile
_Galton From The Nile_
Please someone make a 10h video of this video.
There was the perfect one at like 2:50