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@mosesmayer9721

Жыл бұрын

One way to avoid using pi in the code would be to use a random number (float) between 0 and like 100000000, so all angles are roughly equally likely

@codingcompetitiveprogrammi6118

Жыл бұрын

you are video make people interesting and easy understand what your share thanks sir

Just when the world needed him most, he returned...

@ThsHunt

Жыл бұрын

Which data type

@geoffwagner4935

Жыл бұрын

LOL

I gotta say these new whiteboard animations you have going on are really impressive

To specify rotation of the toothpick without relying on Pi in the code, you could generate two random points! The first random point would be inside the canvas, and would define the location of the center of the toothpick. The second point could fall anywhere, even outside the canvas. The second point is used to define a vector, which will guide the rotation of the toothpick. Draw a construction line connecting the center of the toothpick with the second random point, then draw the toothpick with the appropriate length along that construction line. This should get you random orientations without relying on already knowing the value of pi!

@gediminasusevicius2668

Жыл бұрын

This would not give a random angle. You can assign the first point (the centre of the toothpick) as (0, 0). And if you pick a second point randomly (aka uniform distribution in x and y), the angle of the toothpick will be arctan(x/y). The maths gets a bit hairy here, but as you can easily imagine, if x and y have a uniform distribution, the angle arctan(x/y) will not

@user-ef8kc4rv7n

Жыл бұрын

@@gediminasusevicius2668 You could choose a random point in a surrounding circle using Monte Carlo rejection and that would work

@SellusionStar

Жыл бұрын

@@gediminasusevicius2668 I don't get why it doesn't yield a randomly angled toothpick. Could you please elaborate a bit more? 🙂

@gediminasusevicius2668

Жыл бұрын

@@SellusionStar Well, this is a very common misconception. It would be random, yes, but not uniform. It would be clumped up. There are many different randomness. There is a uniform, where every value is equally likely. But there are different ones as well. The most known another one is Gaussian distribution - a bell like shape. While both of them can provide a random distribution, they will have different results. For example, if we try and draw a person, we can choose a random height for it. If we choose a uniform distribution, then it will be equally likely it will be 1 meter tall, as it will be 1.8 meters tall. While still random, it is not useful in this scenario, since human height is not uniformly distributed. If we wanted a more accurate random value for human population, we would use Gaussian distribution, where a height of 1.7 meters is much more likely than 2 meters. It does not mean that a random chosen height from such distribution will be 1.7 meters, but it will result in the heights being more clumped up around 1.7 meters

@SellusionStar

Жыл бұрын

@@gediminasusevicius2668 thanks, got you! That's exactly what I was thinking, when I imagined how one would through the needles in real life while making sure they are evenly/uniformly distributed. Because I thought they would probably clump in some places...

16:06 - I believe that if you used `angleMode(DEGREES);` in your setup, you could specify the angles with -180 to 180 and thereby removing the dependency on PI!

@Kokurorokuko

Жыл бұрын

Same thought

@jayjasespud

Жыл бұрын

Was lookin for this comment.

@bradsword5822

Жыл бұрын

Unfortunately PI sneaks in still. I was actually thinking the sine function itself doesn’t need PI to be computed. But PI gets inserted when he’s talking about that integration with PI in the limits. But when you say to express it in degrees, it would seem to avoid that completely. But when you switch between radians and degrees, calculators don’t tell you that the specific sine function changes. When you take the sine in degrees, it’s actually applying a scaling transformation on the degrees first - to get it back to radians - then applying the standard sine function. If 180 degrees is PI, then to do that conversion, you multiply by PI/180 to get it to radians. In this way, PI is sneakily still present!

just awesome. I was actually randomly searching for buffon's needle experiments today and you did the actual thing I wanted to to see. Love and respect

Love your videos. Youre an absolute treasure.

I just found your channel a week ago and it’s been helping me with python. So glad you are still active on KZread.

The toothpick challenge was one of my favorite and i tweeted my output to you a few days after that video. One of the single greatest influences to code again. Thanks for your videos!!!

The most underrated teacher i’ve ever learned from, Thank you for all the time you spent through out the years on this amazing content!

Absolutely amazing, I love your work and your natural and logical way of explaining things!

I always look forward to your videos and you never disappoint! Thanks for being so inspiring!

Your enthusiasm and thorough explanations are unlike anything I've seen before. Thank you so much!

I love this tradition of you calculating Pi in many different ways!

@porl42

Жыл бұрын

You might like to check out Matt Parker on the Standup Maths channel where he has been doing similar things over the years. Some really creative ones.

So glad to see a new coding challenge, i almost finished the playlist !

I love this channel. Super interesting stuff and excellent delivery. Congrats!!!!

Nice to see you again, Welcome Back!

7:25 I've heard of falling angels, but falling angles are new to me :) Excellent video!

Dan! I love how you tackle hard problems with this energy and didactics! You´re awesome! Hope you know that!

It is always a pleasure and inspiration watch your videos !

wohoo!! this 25 min is gonna be fantastic! your're amazing. i have learned a lot from you.

Loved ur enthusiasm, very interesting challenge. Thank you for this 😄

Loved the video! Thanks for featuring my sketch!!

Man, I missed you a lot! thanks for comming in this amazing Pi day

GENUINELY THANK YOU FOR UPLOADING ❤️

I am so here for that art direction on the background !

I can only grasp half of this, but I'm enjoying myself anyway. What enthusiasm!

The struggle with drawing a decent looking graph is real! Yours is great!

12:00 it is an image, but there is no greenscreen... and the image is between him and board which he interacts with

@TheCodingTrain

Жыл бұрын

Runway in action! runwayml.com/

@megaing1322

Жыл бұрын

That looked so natural, I didn't even notice this. Very impressive.

A possible way to pick a random angle without referencing pi whatsover: use a uniform distribution over a HUGE interval (or take the uniform distribution on (0,1) and map it to a large interval). I haven't directly tested this way of rng, but here's why I think it should work. Let's write the total width of our interval in the form z = 2*pi*N + x, where N is a large enough natural number, and x any real number between 0 and 2*pi. If we had x=0, then we are picking the angles on an interval of with 2*pi*N, which for the purposes of rotating the toothpicks is indistingushable from picking from an interval of width just 2*pi. When x is not zero, the probability of picking the angle in the "wrong" part of the interval is equal to x / (2*pi*N + x). This number is vanishing small, the larger we pick N -- we don't directly pick N, but a number very large number z = 2*pi*N+x to make sure tha N is really, really big.

I love pi. It's such a cool thing like you can find it anywhere and the math here done is not that difficult. It's just basic highschool math and as you made a graph I was like let's an take an integral under the curve.

I just saw it was march 13 th and I instantly came to your channel to see what you had

I was missing your videos!

I love the way you teach! You simplify things so much and keep refining the solution from a dummy start to the ultimate solution. I wish you could make a program where one can visulaize all the data structures. Thanks for doing things the way you do. ❤❤ from India

@TheCodingTrain

Жыл бұрын

Thank you!

Awesome!!! Thank you!

Welcome back!

Watching these toothpicks appear on the board reminds me of when I trim my beard into the sink XD I'm wanting to blow the screen every so often. Loving these videos, Dan! From a fellow Dan.

To get a uniform angle in (0,2pi) you could generate uniform x,y in (0,1) until x^2+y^2=1 you essentially create a uniform distribution on the circle, and there the angle is uniformly distributed.

@fullfungo

Жыл бұрын

If you can calculate atan(x/y), then you might as well do 4*atan(1)

to celebrate pi day, I am not going to watch this video when its release but exactly pi days after!

Will you do shader programming again? Really enjoy your videos, learn so much things!

I really would like to have you back for the coding challenges with p5js.

19:07 there it is, near the center of the canvas: PI! Challenge completed!

First of all: Happy pi day from Spain. I want to propose a problem. How about an extension to 3D of this problem. Suppose we place random needles on the space at random points with some length and two angles defining the orientation. What is the probability of a needle to cross two parallel planes at unit distance one from each other. What if instead of two planes we take a cube? What is the probability of a needle crossing one side of the unit cube. Hint: Does that probability involve pi? The result may be surprising 😉

Shiffman, this message that I'm sending doesn't have much to do with what's in the video, I apologize for that, but I just want to thank you for everything you've done in my life by being a great teacher. In 2018, I started my journey as a developer and I was really lucky to find your channel and playlists teaching javascript in the unique way that you have to teach. Today I have a career in the field, a passion for what I do, and I just wanted to express my gratitude for being an amazing mentor (even though you have no idea who I am hahah). Thank you very much, Shiffman. Your work here is awesome! I wanted to say some more beautiful things but since English is not my native language, I can't express myself the best way possible. If I could talk in Portuguese you probably would cry for a month. 😂

@TheCodingTrain

Жыл бұрын

Thank you for sharing this wonderful story!

We're late by 1 day, but let's wait a full year again

If only I had your programming skills, my life ideas would come to life in a matter of days

FINALLY BACK!

Amazing video

ayyyyy a new coding train video

14:17 That seems like the best choice, and not because it would look more interesting, but because you wouldn't eschew the results. If you limit to just 90º the toothpicks will have "one" chance to be at an angle 0º It shouldn't, I believe, make much of a difference, but since it's the same to use a full circle as it is to use just 1/4 of one, go for the more accurate simulation.

Hi Daniel, Instead of using TWO_PI what you can do is pick two random points and lerp a point between those two with distance of l and using that you would get a random angle without using rotate, TWO_PI. For getting X from that you can just do x2 - x1. Hope it helps.

@ingiford175

Жыл бұрын

I do not think each angle has an equal possibility.

Next year, I want to see Matt Parker drop a thousand toothpicks and just see him spend the entire video picking them up to calculate pi!!

Happy PI day to all! So magical!

Do you have any plans to maybe cover some other programming languages in the future?

Since you're intersecting a vertical line, you could draw the line using x0,y0-x1,y1. Then you simply divide x0 and x1 by t. If they're different, they intersect. If (x0/t != x1/t) intersect++; Something like that?

11:30 No, it's not the top half of an ellipse. it's a section of a sine wave, specifically the graph of y=(1/2)*sine(x) which people can drop into the online Desmos graphing calculator and visualize.

missed you!

Badhiya video, guru g. Aur batao, sab badhiya ☺️

Maybe you can get around the random angle chicken and egg problem by choosing a point in a disk at random. Pick a random x coordinate between 0 and 1, and pick a random y coordinate between 0 and 1. Check if x^2+y^2

@grumpyparsnip

Жыл бұрын

Edit: I meant pick the x and y coordinated randomly between -1 and 1 and then check if x^2+y^2

Awesome 👌 👍 😍

Missed you 🥲

This is magic :0

Omg he left his cryogenic tank just for us! Welcome to the future!

And you have pi/2 million subs, nice! Also, to not be forced to use PI in your simulation you can make a rectangle with random height and width, then choose any two diagonally opposite corners and get the angles from that.

@nagualdesign

Жыл бұрын

That would make angles closer to ±45° more likely than angles closer to 0° or ±90°.

@GradientAscent_

Жыл бұрын

@@nagualdesign It does not have to be a rectangle, two points would suffice!

@nagualdesign

Жыл бұрын

@@GradientAscent_ 2 random numbers will produce a rectangle with random height and width. If all possible values are equally likely the resulting angle between opposite corners will not be evenly distributed.

Hey just ran into your content and I'm new to programming. What Playlist of yours would recommend I start with

@TheCodingTrain

Жыл бұрын

This is the beginner one: kzread.info/head/PLRqwX-V7Uu6Zy51Q-x9tMWIv9cueOFTFA I also have things organized on my website: thecodingtrain.com/

you can’t use trigonometry functions, instead you should pick a random gradient. So a gradient of 0 would be horizontal and 1 would be vertical. This would circumvent the need to use PI anywhere in your code (and implicitly when using trig functions)

nice video

What could be done to remove π from the code is to take a rough approximation of π (like π=3), run the code and use the new and better value of π to run the code again

int x0 = (int)(x - sin(rot) * l); int x1 = (int)(x + sin(rot) * l); bool hit = x0 != x1; Assuming that t = 1 and l = 0.5 and type of x is double/float (C#)

Could you change the angle to degrees, select randomly from 360, then it should still shake out to approximate pi without ever writing it in the code? Would that work?

I love pi day; all my favorite math KZreadrs have a bunch of cool videos that I can watch while eating pizza (pi-zza)

you could replace 2pi with high number, that would't be precise but random enough to work as well

@17:00 you could have just used the modulo of the column width to the toothpick X. No need for searching for closest

happy PI day bro

HOO HAPPY PI DAY!! Guys wish u luck and a lot of success!

Did you use p5js to create the animated illustrations, too? For example at 14:09.

@TheCodingTrain

Жыл бұрын

These I actually created in p5, but then they were redrawn by an animator! It's a little bit of both throughout the video!

happy pi day everyone!

Heeey mr. Coding Train. Have you tried using arduino with other softwares through serial communication? I've been working with touchdesign and an arduino but would like to See other creative posibilites. Oh, and btw touchdesigner comps use python

@TheCodingTrain

Жыл бұрын

Oh, I have worked with Arduino! Maybe someday I'll get to make a video with it.

11:31 *not actually an ellipse either (it's a sine wave).

I like your watch

fun fact : pi day is the same day as the day of the gifted

I also recommend watching the movie, "Pi"

i missed you

I'm wondering, since the lines are verticle, the Y-axis information is actually irrelevant. I feel like this could be simplified into a 1 dimensional exercise and instead of angles, you're really just looking at a random placement of a line on the X-axis who's length is between 1/2t and 1

@luigidabro

Жыл бұрын

It uses sinus to get PI, so sinus is needed while finding PI, and can not be replaced with a linear random number

@AB-wf8ek

Жыл бұрын

@@luigidabro got it, thanks for clarifying

I thought you'd post today

I really thought you were giong to drop a box of toothpicks onto the floor

i'm not saying you're wrong. but if toothpick length is 1. and width of the gap is 1. then if angle is 45, toothpick width is half of 1. and that means the distance of 1/2 of 1/2 which is 1/4? not .335....@ 9:50

Is this connected to 3B1B?

@ShaneDavisDFTBA

Жыл бұрын

Only in the sense that they’re both Gods among us.

longtime now vidoes :)

You could have used degrees for the angles so its 0-180 instead of 0-pi

18:06 Reality shattered

Nice video! However, I do no like that you used pi and sine in the program. Instead of picking an angle at random, you should pick a second point (x,y) and make the toothpick lie along the resulting line segment.

I object using Pi while trying to determine it. This should be solved graphically: You know the position of the vertical lines thus no need to use Pi. Happy Pi day!

solve travelling salesman problem with physical photon bounces (ray tracing, radar n-bounce problem)

@Jkauppa

Жыл бұрын

well, assume you have N nodes, then you have N-filters and N-1 two-way signal splitters to the other N-1 nodes, and maybe signal pipes, optical fibers, between the node signal splitters, then let it bounce

@Jkauppa

Жыл бұрын

fastest full signature signal to arrive to start wins (phase of signal arrival packets matter)

@Jkauppa

Жыл бұрын

acute distress

82, 82, 82.

It's good to see You Dan. I'm writing this while waiting on the GPT-4 demo and wondering if programming will soon be a hobby rather than a career.

@seancpp

Жыл бұрын

..No lol

I have an irrelevant issue I really need someone to help me with. I am using Processing and trying to import JavaFX from the contribution manager, I put the files in the correct location, I know this because it pops up in the "Sketch" folder. I am trying to make a GUI, so far there is no video's from Daniel here on how to make a GUI yet. When I use it, it imports import processing.javafx.*; I am trying to get it to import all of these things import javafx.application.Application; import javafx.scene.Scene; import javafx.scene.control.Label; import javafx.scene.layout.StackPane; import javafx.stage.Stage; Can someone please help me with this? I can't find source for this and if their is a different way to access it it would be great.

Boom! angleMode(DEGREES); let angle = random(360);

@badstep495

Жыл бұрын

still uses PI implicitly with the trigonometry functions when rotating. avoid angles all-together and select a random gradient instead

Match test

TWO_PI has a name, it’s actually called TAU (τ).