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Blocko_tritaco

I think I missed a couple thousand steps


Beautiful_Ad_2371

r/restofthefuckingowl


poopellar

Step 1: dot Step 2: dot Step 3: ? Profit


TheBonePoet

I don't remember what that's from but I seriously LOL'ed.


icecream_truck

Phase 1: [Collect underpants.](https://www.youtube.com/watch?v=a5ih_TQWqCA) Phase 2: ? Phase 3: Profit!


_straylight

Underpants gnomes? South Park?


TheBonePoet

You are correct Sir!


Rstrofdth

Mathematicians hate this one easy trick.


bradfo83

Step 1: dot Step 2: dot Step 3: ? Step 4: Triforce


throway69695

Don't feel like this fits there. There's no vital information lost in skipping the the last step


ki113r116

Did any of you listen to the audio???


Dizzy_Yak2174

My phones been on mute for a decade


canalswimmer

Just the other day I thought I was going to fall asleep while waiting for a message to come in, so I took my phone off of vibrate and cranked up the volume. I didn't know that the message ringtone was so damn ugly, but at least it woke me up.


pandammonium_nitrate

I remember the days when I would sit with my friends and look for cool low quality ring tones, now if my phone makes a noise I didn't cause intentionally it nearly gets thrown across the room.


CNXQDRFS

I'm deaf so at least I've got an excuse this time.


awsamation

Seriously. "Repeat this process 100 times, now repeat it 25000 times" isn't skipping steps. You got all the steps, and the amount of times they're repeated.


mothrofchrst

Almost never.


throway69695

Yeah


look4alec

Link could have done it in the time it took me to beat the legend of Zelda. I never beat it


Roook36

How to draw an owl 1. Draw a circle 2. Draw the rest of the owl


gravisotium

Hahah exactly


BlowMoreGlass

The rules for this process may be correct but he certainly didn't free hand that shit. You clearly see the numbers look different as the video progresses.


futura-bold

That *was* just the explanation of the rules, though, and yes, the rest was done with a computer. If anybody's got Python installed on their computer (and during installation they selected the Tk GUI stuff as well) then this script will run as-is. It builds the Sierpinski triangle on the screen quite quickly: import time, random import tkinter as tk width = 600 height = int(width * 0.87) root = tk.Tk() img = tk.PhotoImage(width=width, height=height) img.put("white", to=(0, 0, width, height)) lab = tk.Label(root, image=img) lab.pack() root.update() x, y = 0, 0 while True: for n in range(100): r = random.randrange(3) y = (y + r // 2) / 2 x = (x - r // 2 * 1.5 + r) / 2 xp, yp = int(x * width), int((1 - y) * height - 1) img.put("black", to=(xp,yp)) root.update() time.sleep(0.01)


kixie42

Oh dang, that's neat and a lot simpler than I thought it would be. Very neat to watch. I ran this, changed the width to 1000 for a bigger picture, and it made it perfectly within about 30s-1m or so. [Result here](https://imgur.com/a/pBaG87O) for anyone interested.


KaeptnKaese

Not like anyone claimed they did it free hand. The last one is probably a printout.


olderaccount

I don't think he was trying to imply that he did.


lemminman

[Chaos Game (Numberphile)](https://www.youtube.com/watch?v=kbKtFN71Lfs)


elcidpenderman

It’s okay it’s not even the same picture. Shape of dot at two changes.


AndreasBerthou

I don't think he's gonna manually put in 20.000 dots. First part was more of an explanation of the idea behind the fractal.


elcidpenderman

I know, I wasn’t really being serious. However, putting 20,000 dots is a form of art and people do it all the time. I DO NOT have that kind of patience though


Binsky89

That's how my wife and her whole shop do tattoos.


AndreasBerthou

You and me both


Patches_O_Houlihan69

I've worked on pointillism paintings that probably come close to that on an 18x24 canvas, and theyre not that detailed.


EOverM

The benefit is they're all the same steps.


RegularHousewife

Imma try this cause I need to avoid some responsibilities right now


DomeE__

Just programmed it while work. Successful day I'd say.


Selbereth

can you post it on github? I dont want to write it...


itsON-Ders

https://www.geeksforgeeks.org/sierpinski-triangle/amp/


unnecessary_kindness

This should be a Codewars challenge if it isn't already. Should be pretty straightforward but an interesting one!


DomeE__

Yeah it was pretty straightforward. Just used JavaScript and a canvas. But pretty cool to see it in action!


SankarshanaV

Bruh haha I relate to this so hard


UnknownIsland

YUUP, that's what I've been doing in my last half hour of work.


AD8kD

Adhd


RegularHousewife

Yes


proxyproxyomega

in Excel


Jokkitch

Literally me rn


housevil

Okay, but what if your first point is in the exact middle of the image?


kinokomushroom

According to the [Wikipedia article](https://en.m.wikipedia.org/wiki/Sierpi%C5%84ski_triangle): > If the first point v1 was a point on the Sierpiński triangle, then all the points vn lie on the Sierpinski triangle. If the first point v1 to lie within the perimeter of the triangle is not a point on the Sierpinski triangle, none of the points vn will lie on the Sierpinski triangle, however they will converge on the triangle. So basically, to get a true Sierpinski triangle you gotta choose a starting point on the border of the triangle. Any other point won't actually be on the Sierpinski triangle, but will become infinitely close with time.


Mysterious-Monk-3423

You can't make a serpinski triangle without "going to infinity" anyway, so if you make infinitely many points that are converging to a serpinski triangle, is that not just a serpinski triangle with extra steps?


TheOtherAisle

Infinite with an extra step is still infinite.


[deleted]

[удалено]


ThatsARepost24

The front fell off


zeppindorf

That's not very typical


perldawg

yes, and it wouldn’t change the nature of the set in question, but not all infinite sets are the same size. for example: the set of all ~~possible~~ real numbers is infinite, and so is the set of all *odd* numbers, but that set is obviously smaller tldr: infinity is not as simple as it seems on the surface


jussius

If by numbers you mean real numbers then yes, the set of odd numbers is smaller than the set of real numbers. But the set of odd numbers is the same size as, for example, the set of whole numbers, or the set of rational numbers (i.e. they're all countably infinite)


SleepyHarry

That's their point.


hrvbrs

but was their point on the triangle or not


beelze_BUBBLES

Not all infinite sets have the same _cardinality_ 🤓


floerw

The set of all possible numbers? What do you mean by that?


[deleted]

[удалено]


deadoon

Those would be natural numbers, the more correct answer would be the real numbers, which includes both rational and irrational numbers. But excludes the complex numbers.


DrakonIL

>and so is the set of all *odd* numbers, but that set is obviously smaller ~~It's "obviously" smaller, but it's actually exactly the same size. However, the set of all real numbers between 0 and 1 is larger than the set of all integers.~~ Infinity is *really* weird. I need to read better. I thought you said all positive numbers and were comparing to all odd numbers.


FatWollump

No because none of the points that you draw will never be part of the Serpinski triangle, they will just get closer and closer to the triangle. If your first point is on the Serpinski triangle, all other points generated will be on the Serpinski triangle. It's a neat thing about infinity.


woodenmelon

So you won't enter the loop that makes you draw the triangle, but keep getting closer to doing so.


omv

If each dot is permanent then it will never be a perfect Serpinski triangle if the initial dot doesn't lie in the area of the Serpinski triangle.


the-igloo

Eh, that's sort of like starting to count the natural numbers at -30. You eventually started to say the natural numbers, but you said 30 negative numbers first and those don't belong in the set.


fgnrtzbdbbt

You have to erase the first points because they are far away from the figure. If you only take the set of points from the n th point to the 2n th point this will actually converge to the figure with n going towards infinity


handlebartender

That was the first question I had as well. "Choose a totally random point -- wait no not that one"


Lithl

[Go ahead, pick any starting point you like](https://jsfiddle.net/z296y0vd/4/)


handlebartender

Will need to check this whilst not on mobile.


ChuckFarkley

It will be a stray dot but after about the third one, they will all be on the attractor. It will make a nearly perfect seripenski gasket.


wonkey_monkey

> It will be a stray dot but after about the third one, they will all be on the attractor. I don't think that's guaranteed. You can stay off the attractor for an arbitrary number of steps, for example, by starting on the vertical middle inside the big triangle and only choosing point 1. And then there's the question of what kind of infinities the number of points on, or off, the attractor are... In fact I wonder if you always stay off the attractor if you start off the attractor, but you get and stay arbitrarily close to it.


AndreasBerthou

Your last thought is actually correct!


wonkey_monkey

> Your last thought RIP me :( 💀


tamarins

we're gathered here today to celebrate the life of wonkey_monkey. they were...oh, I don't know. fairly cool I guess. RIP wonkey


wonkey_monkey

/r/fairlycool is actually a (dead) sub I made...


tamarins

;) I glanced at your user page to make sure you weren't a racist before I celebrated your life


diddy403

Turns out like this: [https://i.imgur.com/S0dAaYs.png](https://i.imgur.com/S0dAaYs.png)


Kharagorn

Two very angry mathematicians appear at your house and try to stab you.


kinokomushroom

with a Sierpinski triangle


underlight

[here is with the dot in the middle](https://i.imgur.com/DjGNdBE.png)


scr0tiemcb00gerbaIIz

I don't think you can get to the final image without a ruler


18650batteries

Probably draw it in a fraction of the time too


Dracarya72

A fractal of the time


uberchristopher

Plus you wouldn't have any points along any borders except for one if you put your first point there.


BlowMoreGlass

Clearly not, you can see the final numbers look different than they did initially.


firowind

Use programming


IshKebab

Yeah they definitely cheated.


Foolaccount

But this is a democracy!


moohahaa

Pyramid Scheme


Chumbag_love

Inverse funnel flipped upside down.


AlexKorobeiniki

And if you do it perfectly, a kid dressed all in green will break into your house and break every flower pot and vase you own!


Chewcocca

I mean that happened once, but we can't prove that there was a causal link.


wonkey_monkey

It was actually a [casual Link](https://pbs.twimg.com/media/C6AS5FxXQAAPY6-.jpg).


salgado88

That's the Triforce!


Alortania

Triforce^^3


1nfiniteJest

newfag!


Alortania

wot?


tehyosh

newfags can't triforce


PMmeYourFlipFlops

▲ ▲ ▲


Alortania

I'm so freaking confused right now.


NaeemTHM

It’s an old 4chan meme


thedanofthehour

Hey! Listen!


KaynanGabriel

Yesssss


Bloodraven983

Early 2000s internet: newfags cannot triforce 2022 internet: here Is a detailed tutorial on how to triforce


Lifeisdamning

I got a suspension for say newf*g on reddit. Gotdamn eternal summer


wingmasterjon

▲ ▲ ▲ ami doing this rite?


HMCtripleOG

This is the answer I was looking for


BigDuckyFan

For anybody who would rather not draw 10,000 dots, I wrote a script https://openprocessing.org/sketch/1340447


lacks_imagination

What happens if change the algorithm and place the dots one third of the way instead of half way, etc?


BigDuckyFan

[https://openprocessing.org/sketch/1603906](https://openprocessing.org/sketch/1603906)


arcosapphire

Wow that is actually really pretty.


lacks_imagination

Thanks. This is awesome.


Ben-J-Kirby-Tennyson

Two thirds? A quarter? Three quarters? I could go on, but I’d rather not torture you (more).


BigDuckyFan

[https://openprocessing.org/sketch/1604078](https://openprocessing.org/sketch/1604078) Made one where you can select the distance


Tony_Three_Pies

Poor bastard drew 25,000 dots and OP couldn't even credit him.


RodBoron

His name is Sir Pinksi.


Chewcocca

Dr. Drew doesn't deserve a knighthood


starvinchevy

You made me giggle uncontrollably


Arny520

Right?


TheDarkestShado

https://www.reddit.com/r/interestingasfuck/comments/viqtez/how_to_draw_a_sierpi%C5%84ski_triangle/idek2jr/?utm_source=share&utm_medium=ios_app&utm_name=iossmf&context=3


FiercelyApatheticLad

He did though.


timmyboyoyo

Not more than that?


mtbohana

Legend has it that at 25,001 points it summons the triangle demon.


BackdraftRed

Trielzebub


ubccompscistudent

No, Gananondorf


nthpwr

Triangulus, Lord of Sines


Overjellyfish54

Bill Cypher?


Abhirup_0

Credit: [The Imgur video](https://imgur.com/gallery/2rSV2YP) His [tiktok](https://www.tiktok.com/@mathletters?lang=en) tiktok is banned in my country so i cant find and link the exact video.


spongebromanpants

which country?


Borrid

India


LinuxF4n

https://www.tiktok.com/@mathletters/video/7081424281309170986?is_copy_url=1&is_from_webapp=v1&lang=en


Technical_Cut_7533

What's it like not being corrupted by tiktok over there??


Raalipoye_Puvvu

We have Instagram reels and other apps with the similar effect.


IrishJesusDude

The first dot has to be on the perimeter


ForDuckSnakeM8

Why did I watch this video, I’m gonna have to spend hours drawing that now


Mirce4

In theory someone can write a code to draw this woth the rules? Can it be possible?


phantom56657

Absolutely. [This site ](http://www.shodor.org/interactive/activities/TheChaosGame/) has an interactive generator that simulates this.


Johannes_Keppler

One does not simply click in to Shodor... O wait. One does.


colonel0sanders

I think back in the late 90s I had this process programmed on my TI-83. Not sure where I got it from, cause I definitely didn't program it myself.


CommunismDoesntWork

That's such a weird way of drawing it. Just draw a triforce, and then draw another triforce in all of the resulting triangles except for the middle one. Repeat.


notjawn

Step 1: Make 3 dots Step 2: Complete the Mona Lisa.


FriesWithThat

Me after drawing a couple dozen points: *I'm pretty tired ...*


WeeWooBooBooBusEMT

>Me after drawing a couple dozen points: > > >*I'm pretty tired ...* My neighbor kid: "Look what I drew! I'm gonna do it again in red this time! *20 minutes later:* There! What color should I use next?" How he doth exhaust me.


delarro

I surrendered in "couple"


badspeed666

Rhombus for life! Bitch!


CreativeExplorer

Watching this on mute was pretty . . . unimpressive: "Um just draw a bunch of triangles and save yourself some time." Unmuted: "oh, what now!? That is in fact . . . very interestingasfuck!"


DBLxDxMoney

Me too lol


scrapper

“Draw three points in the shape of a triangle” as if it’s possible to draw three points NOT in the shape of a triangle!


phunknsoul

Unless they're in a straight line


scrapper

Point taken. And of course, there would be infinitely many of those arrangements.


wonkey_monkey

> Point taken. Well great now there's only two points, thanks a lot buddy.


SkellyboneZ

The most dangerous and feminine shape. Can easily puncture when a square is trying to feel the shape out.


phunknsoul

Upvoted for the Flatland reference... I don't see those nearly enough


MrJelle

I think they meant to say an equilateral triangle and flubbed a word.


Lithl

It doesn't need to be equilateral, though. If you do the same thing with _any_ three points which form a triangle, you'll get a sierpinski pattern. It's just that doing this with a non-equilateral triangle didn't get you the classic sierpinski look, it becomes skewed instead.


More_Twist9517

Hey can we code this stuff so that we can visualise in real time all this happening.


Lithl

https://jsfiddle.net/z296y0vd/4/


More_Twist9517

Reason I love reddit. Btw u did it on your own bro?


Lithl

Yeah, didn't take too long


whatisanythingeven

If Zelda Zelda’d Zelda


Tiyath

All I see is a triforce


el-dongler

I 3d printed one. https://imgur.com/a/sA1F6JH


ZeusTKP

You 3D printed a 3D one


solaffex

What if the first point you draw is in the very center?


Lv2Drum

I don’t care what it’s called. I see the triforce and that’s what I’m calling it


wonkey_monkey

It's actually the tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri^tri force


Fakjbf

It’s only the triforce if it’s one level deep


evilbadgrades

The Sierpiński triangle holds a special place for me personally as it was the start of my programming journey. Unlike most people who start with a simple hello-world program. I was flipping through the owners manual for my fancy TI-85 calculator and came across some "program examples". The Sierpiński triangle example was one of the coolest programs in the book so I said let me give it a shot and typed the "program" into my calculator by hand (it was printed out in the owner's manual). I was hooked - started copying games and other programs into my TI-85 by hand (download code from internet, type into calculator by hand because I couldn't afford the PC adapter cable). After the tenth or so program, the TI-Basic code started to make sense to me and I could start to "read" the code and understand what was going on.


Lawlsagna

> The Sierpiński triangle holds a special place for me personally as it was the start of my programming journey. I just finished my CS degree. One of my earliest assignments was to write a program for the Sierpiński triangle :)


Destroyer6202

Can you not press the pen so hard?? Thanks.


Phamora

"To start us off, choose a point ANYWHERE inside the triangle" I choose the very middle of the triangle. Now what's the final result going to look like? The logic is really skewed and the result is clearly filled out manually. This is content for people who like and believe in the real life application of 5-minute life hack videos. EDIT: Concept is real enough, but the video does a piss poor job of explaining the framework of the Chaos Game. I am not attacking the math, guys - just the video!


Hecej

Not true, the result will be what he has, with a couple misplaced dots in the middle. After just a couple moves the dots go back into place and will always result in that pattern.


12358132134

That interested me too, so I wrote a small program to check it out :) Here is the result: [https://i.imgur.com/u7mGWnf.png](https://i.imgur.com/u7mGWnf.png) There is a red dot in the middle, that is the starting point, and then all those tuirqoise shade colors are ones generated subsequently. You can see there are dots in some triangles that are not in the center, and I assume that is because of the (250,250) starting point.


Artgum

Underrated effort - I think this actually shows a good experiment in statistics once a sample size gets large enough.


GooseandMaverick

I'm too lazy to put 25,000 points on a piece of paper to see if he's lying though


RancidRock

So the whole video is shite and his logic is skewed because he left out a rule?


ProteanProxy

Ikr, I hate to be the guy to say 'you must be fun at parties' but OP is just acting like a piece of shit just because the guy slipped up on the wording of one of the steps. Guy clearly has some superiority complex


RancidRock

OP the type of guy to see someone doing a magic trick, then acting all smug cause he knows it, then tells everyone how's it done.


PerAsperaAdInfiri

/r/restofthefuckingowl


motoklip

What pen is that?


Cappietein

I think Link came a bit in his tighty whitey's.


rnottaken

Ok so there is a black upside down triangle in the middle right? And the first point is completely random? What of the first random point falls into that blank space?


tw3lv3l4y3rs0fb4c0n

Thanks! Thanks to you I am once again on one of those mathematical wiki sides about fractal dimensions and dynamical systems I understand jack shit about.


gravisotium

The whole time im like just draw the thing already and then he doesnt even show us how to draw it or let us see him do it


GreatGooglyMoogly077

The first guy that figured this out needs a hobby.


camipi_07

now this is amazing


bubbafat1155

I can ruin this with FIRST DOT. Dead center of original triangle.


RepresentativeFill26

I kinda find the “random initial point” hard to believe. How would this work if you pick a point inside the big white triangle in the middel? Then you would have at least a single dot there


SamFisher39

I can't imagine you sketched it by hand until it looked so smooth! I just ran a quick calculation in Python an this is where it's at after 10k, 100k and 1 million steps: https://imgur.com/a/R3tt50Q


Vault_Hunter4Life

Uhm actually it's a triforce, uncultured swine


kolob_hier

Man, to weird such power and wisdom, and to have the courage to share with others. This guy is a legend.


Olav_The_Destroyer

That took too long.


foxnon

Uhhh it's called the tri force..


allhailcheesegod

Thinkin you all slick w that spfuakeivuwi triangle shit bitch that’s a triforce


mrdrbernd

An iterated function system IFS by hand…. Oh man….


DustWarden

Step 3: have a ton of time on your hands.