How to make a circle the wrong way

"Found a pretty optimized way to make a circle in Desmos. Maybe someone could try to shorten it a little bit."
Music made by me.
Link to graph: www.desmos.com/calculator/wpb...
Happy Pi Day :)

[@i_like_treins3449]

POV: your teacher said you should use the long method

[@EnjoyGames_]

a reply here

[@andriyshcherbatiy581]

And on todays test I recomend using the long way and dont forget to show your work for extra marks:

[@frecio231]

POV And you still get the answer as wrong because "I said the long method, not the longer method"

[@Mikoori.A]

The long method:

[@gurpreetsingh7582]

not just long but very very long. hmm😈😈

[@TheMagicalNam]

I love the wall of 1/1. It must be there for emotional unsupport.

[@DingleberryGaming56]

As well as the sqrt(sqrt(sqrt(sqrt(sqrt(sqrt(1

[@BrianAwesomenes]

I'm pretty sure almost all of these equations are just fancy ways of writing either 1 or 0.

[@TheMagicalNam]

@@DingleberryGaming56 it’s load bearing roots.

[@TheMagicalNam]

@@BrianAwesomenes Perfectly balanced, like all things should be.

[@lucjan1897]

Same as starting with 0!

[@robertnagy3942]

"I paid for the whole CPU, I will use the whole CPU"

[@masonboone4307]

I used the whole cpu by getting it's temps to 108C°

[@lucaslautaromartinez7939]

@@masonboone4307 my pc reached 150°C just by watching this video

[@CommunistKetchup]

Imagine seeing this on your math homework and all it asks you to do is simplify it

[@ariannasv22]

Simple. I take a white out pen-

[@marc1310]

You gave me an idea for my future students.

[@simonwillover4175]

When smart kid just writes x^2+y^2=1 because they can tell that it's just a circle

[@adiaphoros6842]

​@@simonwillover4175 without the graph of course.

[@Ms-xq6jx]

Honestly this looks easy, albeit quite long.

[@ihavevanishedfromthespanish]

0:20 biblically-accurate integral

[@mister200altaccounts]

Real

[@NoxUmbrae]

be not afraid

[@xeqqail3546]

be not afraid

[@FreshBeatles]

int(d)dd from 0 to 0. ½d^2 evaluate from 0 to 0 = 0 Bible = zero

[@i_like_treins3449]

​@@FreshBeatlesfor that specific integral that is

[@brash_hown]

That 0 factorial at the very beginning is honestly the cherry on top

[@saltedmutton7269]

0 factorial is nice but I'd go with ((0!)^0)^2 for extra flavour

[@blairhoughton7918]

I hate that 0!=1, but love how it simplifies loops...

[@ok-tr1nw]

​@@blairhoughton79180! Means you are making a set containing every natural number before 0 and 0, which means the set only contains 0, so it reports having 1 combination

[@blairhoughton7918]

@@ok-tr1nw The definition of factorial is the product of all the positive integers up to the argument. Putting 0 in a product zeroes it. Factorial isn't really defined outside the positive integers. What's happening if 0 needs to be in the domain is that we should use the gamma function instead of the factorial. We get the same result for integers greater than zero, but then we get a value for 0. Calling it 0! is borderline math-illiterate, but keeps the computer from having to cast in and out of floating point to call gamma...

[@blairhoughton7918]

@@ok-tr1nw I think you're thinking of the binomial theorem for 0 choose 0, which has three factorials in it (n!/r!•(n-r)!), but doesn't really, because 0! doesn't exist because 0 isn't really in the domain of the factorial mathematically, so it really has three gammas in it. And gamma(0)/gamma(0)•gamma(0-0) = 1/1•1 = 1.

[@polynerdial]

You'd be hard pressed to find a way to optimize that circle even more than you've already optimized it. Also, fantastic music my dude.

[@sirkduck6612]

*unoptimize

[@cheeseburgermonkey7104]

Wait until he learns about trailing zeroes

[@redstocat5455]

He made this music ?! He strong in maths AND musics ? I think he need to have an big weakness or he is not from this word

[@hophopkins3526]

@@redstocat5455bro can calculate his next note, live onstage.

[@danieldistefano2000]

​@@redstocat5455 he didn't make the music, Shazam says it's Paradise / Chris Alot Edit: it's not that one

[@kyyay2283]

man made his equation into a four-story building

[@aadenboy]

that's quite the hotel

[@MrDiceZack]

@@aadenboyIt even came with a buffet

[@AngelShrimpChips]

Bro gave the equation a functioning economy

[@i_like_treins3449]

I think the building is a bit more circular, right?

[@user-wp9xx3jf3x]

NAh, that's not 4 story - it's a skyscraper

[@TacoWarrior1337]

the 10 square roots in the middle 💀

[@aayushmohan514]

that is square root of 1😂

[@megacobblepot]

POV: Math is just a game to you and these are the levels.

[@El_Mierda_De_Gato]

can anyone help with the Long Division level? i have a major skill issue :(

[@4fgaming925]

@@El_Mierda_De_Gato Skill issue in long division? how tf, its the easiest thing ever

[@El_Mierda_De_Gato]

@@4fgaming925 i have the "Autism" debuff trait

[@4fgaming925]

@@El_Mierda_De_Gato I have adhd lol

[@Ought-to-be-terrific]

@@El_Mierda_De_Gatoreroll

[@jaytep5647]

me: blinks for 0.1 second the teacher's board:

[@weinereater-wm6qm]

Truly the circle of all time

[@aleph_zero1]

Teacher: "You need to use the method i taught you" The method taught by the teacher:

[@cloroxbleach7554]

Mathematicians unnecessarily overcomplicating things and making fun of engineers and physicists for trying to simplify and making the most out of it:

[@i2keepitrealInreseach]

They don't... COM is maths but it was to solve complex problems

[@no_name4796]

Lol true. Although it's understandable: mathematicians want to get to general rules which work in most cases possible, while engineers just want the building to stay up lol But yeah it's funny how sometimes maths do such a big trip jist to prove 1+1=2 (it's like a 500 pages dimostrations i believe ahahaha)

[@SebasGD162]

This whole video feels like the last five minutes of an exam

[@webaazul2500]

"The test is only hard if you didn't study" The problem that is worth half your grade (they barely mentioned the topic once):

[@VuLe-wi9kv]

​@@webaazul2500FR 😢

[@nirorit]

@@webaazul2500I had to deal with such situation once for a formula that the professor has clearly said won’t appear in the exam 🤦‍♂️

[@fernando4959]

desperate moment when you try to remember whatever equation that MAYBE relevant to the last question

[@VuLe-wi9kv]

@@fernando4959 "Random bullsh*t go!" moment

[@yogisaputro3410]

Dude just invented math calligraphy: displaying simple thing in the most perplexing way.

[@4fgaming925]

fr

[@Tanay-yi3yz]

I miss the days when it was just x²+ y²= r²

[@ErdemtugsC]

r=1

[@lolman1758]

x²+y²=r

[@phantomicco6068]

And back when there weren't any letters

[@lox7182]

@@phantomicco6068 what does it have to do with letters? how are you gonna represent a circle without letters?

[@djjdjd470]

Kids wish, they hope to do great things but also hope that everything will be as easy as 1+1=2​@@lox7182

[@grass.1980]

I'm sorry, *this formula is actually NOT draw a "unit" circle* , but one which radius is _10/11_ . i found that desmos made trouble in this part of formula (you can find in video around center of 1:01): _floor(distance((distance((0-0,0+0),(1,1))^2,distance((2^2-1^1,3),(2^2+1^1,3))),(2floor(e),sqrt(ceil(π)))_ if we simplify this, we get: *_floor(4-sqrt(2)^2)_* We can absolutely sure that this equals _2_ , but asking desmos, it returns _1_ . ( the reason is that _sqrt(2)_ is irrational, computer can not express _sqrt(2)_ precisely due to infinite decimal. if you cannot believe, you should try this in desmos: _sqrt(2)^2 - 2_ ) Since desmos draws a unit circle even though the results are wrong, unfortunately, that enormous formula doesn't draw a "unit" circle... Well yeah, the title is correct because it doesn't say "unit" and that formula actually draws a circle. Although, Great job! ps: If we simplify that gigantic formula according to desmos rules with a lot of effort, we can finally get this: _(sin(2πt), cos(2πt)) * 5/(6-1/X), where X = _*_floor(4-sqrt(2)^2)_*

[@AidanNaut0]

i dont know if this is correct, i dont even care. I just love the idea that someone out there took the time to flex their knowledge to hit someone with the "um, ackchualley"

[@grass.1980]

@@AidanNaut0 Absolutely agreeable He did a great work, no matter whether it is correct or not.

[@cvspvr]

bless you, child. now, please touch grass

[@ldman538]

@@cvspvrhe is, quite literally, grass himself

[@ThatOneAmpharos]

get well soon

[@NOT_A_ROBOT]

do NOT let this guy cook in math class 💀

[@GrayWolf1521]

meth class

[@kono152]

i saw this monstrosity in the desmos discord server, you are an absolute menace to society and i love you for it

[@God-hp2gx]

Wait, desmos discord server.

[@ariannasv22]

"Trust the process" The process: ⬆️➡️↩️↖️⤵️↪️↙️🔄➡️↘️↔️ The result: ○

[@sans1331]

136 likes? no replies? lemme fix that

[@Kai-oz9gr]

such an art

[@lorenzodiambra5210]

"la matematica e facile" la matematica:

[@4fgaming925]

@@lorenzodiambra5210 translation (without seeing): maths is easy, maths:

[@thepixelatedcactus7152]

My mans turnd that equation into a Metroid map

[@Im4nch1k]

As a 7th grade student I can confirm that I am confused and do not understood any of this.

[@johndickinson82]

*understand

[@Dreamheart101]

As a graduated high school student I can confirm that I am confused and do not understand any of this.

[@isaacpianos5208]

As a math major I can confirm that I am confused and do not understand any of this

[@rings22]

As newton himself I can confirm that I am confused and do not understand any of this.

[@BuzzyBee13]

As the God of math, wth is this?

[@someoneontheinternetuvenev6268]

This guy has crazy software engineering potential... I mean.. He is doing graphics programming using just math 💀

[@gallium-gonzollium]

That’s it. You’ve convinced me to do one for myself. And trust me, it’ll be the messiest piece of math I’ve ever done.

[@fireninja8250]

Progress update please

[@gallium-gonzollium]

@@fireninja8250 Going well, up to a whole screen’s worth. But I’ll have to leave it there for now since I’ll be busy.

[@preritsharma329]

@@gallium-gonzollium make a vid

[@yeal_takian]

Commenting on here so that I can return back later to check on the update...🎉

[@gallium-gonzollium]

Update: nearly ready! should be uploaded in an hour or so!

[@blackholegamer9]

fun fact, the same equation can be written as x^2 + y^2 = r^2, in which r is an adjustable radius for said circle

[@gamingmonke1269]

He picked the long method

[@highviewbarbell]

stop teaching shortcuts so early. These kids need to understand the fundamentals first.

[@boltez6507]

​@@highviewbarbellwell they are the fundamentals in a way,also it shouldn't be hard to figure this out. A kid knowing the triangle square law can figure that out easily.

[@tanveshkaviskar442]

​@@boltez6507 r/wooosh

[@Idran]

​@@boltez6507they were joking that this video's final result is "the fundamentals"

[@tob8943]

Would be fascinating to see what would happen to the graph if you change a single value.

[@gfreire57]

It is actually very cool. The link for the graph is in the description. It is nice to see some very random part of the equation just changing the radius of it haha

[@iaial0]

Probably grenades the computer

[@DetachedHat]

I was simplifying it sometimes and if I screw up the whole circle just disappears half the time 😅

[@JillRhoads]

This is the very definition of what my high school AP math teacher called "killing ants with sledgehammers!"

[@Humanly-whatever]

And sledgehammer failed to do it bc miss shot

[@TheUnderscore_]

Imagine showing Newton this like "The way you know to make a circle isn't 100% accurate. Instead, this is how modern scientists do it:"

[@Hokuss1355]

When the teacher says "using shortcut will deduct points". So you use the most complicated method you know.

[@Mariorox1956]

The mathematical equivalent of chaotic order. Something simple made complex, while retaining itself. It's a thing of beauty, glad to be the 907th viewer of this

[@dylanlee1307]

Happy Pi Day!

[@SubSilence]

This method was so effective my internet stopped working, the video started buffering and I was greeted with a spinning circle. Good job 👍

[@andreasxfjd4141]

the most astonishing to me in this video is, that desmos supports all these calculations

[@Nick-bh5uk]

I'm more impressed by the fact the graphing calculator can handle all that.

[@gigibecali699]

Imagine if it didn't even end up as a "perfect" circle

[@chri-k]

it didn't

[@shardulkakade9365]

Your music is one of the most thematically appropriate musical scores of all time

[@denelson83]

You forgot the letters "ma" on the front of "thematically".

[@Stepbrohelp]

Choosing to integrate with respect to d is truly diabolical behavior

[@cosmicpanda7043]

WHAT DOES THAT EVEN MEAN? I'm in Calc 3 and I just can't comprehend that

[@xgr369]

@@cosmicpanda7043By convention we don't use d as a variable because it is used to write the differentials (e.g. dx, dy)

[@cosmicpanda7043]

@@xgr369 Oh so it was literally just denoting the variable d. I was wondering if it was some crazy concept I'd never heard of

[@benbowland]

I always wonder why some processes in Physics can have such simple equations when I would expect them to look more like this

[@guizinpescripting]

"Simplify this equation"

[@jmssun]

The electricity to render this circle can offset the entire global carbon footprint

[@4fgaming925]

lol

[@FleshWizard69420]

Powered by a B class stellar body and 7 whole grams of Adderall

[@lptotheskull]

i love the pure chaos exhibited by the music. absolute banger video

[@nulliawa]

i'm literally obsessed with the music wtf it's so addicting to my ears

[@cyrus72707]

Teacher: Show your work The work:

[@felixgutierrez993]

Biblically accurate circle

[@ModuliOfRiemannSurfaces]

me when I tell the kids in undergrad intro quantum that the wavefunction is just a section over some complex line bundle

[@abehankens7456]

holy hell, i love the effort you put into the video!

[@fogpivvl8341]

Amazing. The 1/1's were really a great touch

[@inconspicuoususername]

Everyone else is talking about the equation, but I wanted to say I really enjoyed the music as well, it's cool that you made it yourself!

[@Andros_Art]

this hurts

[@A_Random_Rat]

Impressive. Very nice. Now let's see Paul Allen's Desmos circle.

[@JustMigs66]

"Music made by me" bros blessed fr

[@aimranehd]

this is like a final boss you'd see in a math game

[@saanidhya9937]

This guy has actually made an animation called Maths: Final Boss On a Desmos Calculator

[@cheeseburgermonkey7104]

Can't wait to see BriTheMathGuy try to simplify this

[@beaverbuoy3011]

very innovative way to efficiently generate a circle! (Good music myman love it)

[@water_is_wet]

0:19 sounds so beautiful

[@airam1721]

You did the music too just to make this suffering funnier, and I thought I found dedicated people before But those 10 square roots tho lmaoooo

[@DaSouler32]

Hey, i am your 1000 subscriber. Congratulations!

[@otherDante2]

The dramatic move around at the end makes this so much cooler. Great Video!

[@sriramchandrasahu5511]

Bro is that kind of person who makes math a problem

[@roberthudak]

You make a song as fire as this and you don't even release it? Craazyyyy

[@GabriTell]

Average last question of the exam:

[@chaitanyakirti9846]

Appreciated your hardwork for writing all that math

[@joannadia3120]

the music is incredibly fitting love it

[@crackedtadacktle1003]

the music was made by you too?? wow you have a lot of talent

[@StickStep]

Your music is better than Alan's 😅

[@reese8468]

The empty brackets got me

[@Dcc02]

Me too.

[@ConcreteAfterRain]

yes, king, get postmodern with it genuinely some of my favorite desmos art.

[@glaggyt929]

Thank god I won't ever have to calculate that... My future teachers laughing behind my back:

[@kushalrijal9453]

Make a video on solving the equation step by step.

[@papertoymonsters2748]

that is a beautiful looking equation i must say

[@daiyousei.1586]

Reminds me of my young self stacking as much formulas I've recently learned to make "the hardest" math equation

[@pink_player06]

I don't know what I just saw, I'm not interested in knowing too, good video

[@elszrvee]

This video is why there's way more people than just gamers that need to touch grass...

[@minseopleem7458]

How professors want us to write our essays

[@gryphonvalorant]

the part that cracked me up the most is the repeated square-roots in the middle of the whole thing LMAO

[@BadChess56]

This should be in animation vs. Math

[@pion7167]

Does most of the equation just cancel out or does it actually add anything to the circle 😂?

[@chrisd.2328]

yeah basically all that complex stuff goes to 1 or 0 and cancels itself out of the equation. the main part of the equation is still Sin (2pit), cos(2pit) but its using identities to make significantly less simplified and then adding on a bunch of randomness that either turns into *1 or +0. a few of the chunks of the equation are just making a really scary looking version of +1.

[@hunterk1575]

the most useful definition of the unit circle

[@Nos_Yous]

Thanks! I'll keep this in mind when I want to draw a circle.

[@Russienede]

Yo man! I have a question involving one of your previos arts in desmos, how did you make the color from the buildings in the city desmos art?

[@jakewalker6]

You can make custom colors in Desmos using HSV and RGB functions. If you set a variable equal to one of them (like "A = rgb(134, 45, 256) for example) you can use the color in other expressions just like you would with the 6 colors already available. The buildings are made up of 4 rectangles, being the front, top, bottom, and side. Since only one side of the building is shown, I don't need to account for the other side (e.g. if its to the right of the camera the left side is shown, if its to the left the right side is shown. If the buildings are on the left side of the screen then I just flip them so the other side is shown.) The back side is also never visible, so I only use 4 polygons for each of them and only 4 colors per building. Colors can be stored in lists and whenever you use a color on an expression, the colors in the list will be applied to each of the parts graphed. (So if you had a color that was made of 5 listed values and then graphed 5 points, then the first point would be the first color, the second point would be the second color, and so on.) The colors were sort of just done by eyeballing what felt right. The front side is darkest, the sides and bottom are a little brighter, and then the top parts are the brightest. I made a second darker version (the lighting was multiplied by 0.8) to give a bit of variation. Since the rectangles are made in a specific order, the color always lines up with each of the sides and make it have the right lighting. Hopefully this makes sense and helps!

[@user-bk8zi8wj4w]

Proof that x=x be like

[@chemistry-ij9pb]

it’s honestly…beautiful

[@s3W3]

The way the circle was already formed several times 😂

[@zswu31416]

Fun facts: The actual parametrization is at the very top line with the trig functions, all the rest reduces to 1. This actually relies on a few Desmos bugs to run: notably one instance where distance((0,0),(1,1))^2 is calculated to be just a tiny bit above 2, thus later when a floor function is taken this effect is amplified to give the wrong (but desired) answer.

[@Prancer3301]

Squidward: What the?! A perfect circle?! Do it again. Show me your process. Jake Walker: Well, first I write this simple equation in Desmos. Then I add some square roots. Then I add some more derivatives, integrals, and summations. Then I add a bit of factorials, permutations, and combinations. Then I add a few more exponents, absolute values, floors, ceilings, matrices, trigonometric functions, and logarithms. And one, two, three - a circle…uhh thingy.

[@Muskar2]

Reminds me of a programming module I replaced last week. It was roughly 100k LOC to change the LED color on a specific device, and I replaced it with 40 or 80 LOC, depending on how you count it. To me, this video roughly illustrates the complexity level of average software, compared to what's actually necessary.

[@reconzt]

your whole college mathematics degree summed up by a circle

[@user-nz9dv4fx1f]

Искусство лить воду

[@Oxygenationatom]

Link?

[@jakewalker6]

www.desmos.com/calculator/wpbwv5axzj I just added it to the description as well

[@Oxygenationatom]

@@jakewalker6thanks!!!

[@modyelhappy]

Now this is art

[@shaggytef2051]

frankly, it looks too beautiful.

[@ZhitZapadlo]

I appreciate you spending 2 hours of your life to show it to us. (Saying that cuz I don’t wanna mention that it’s an insanity to make a circle like this)

[@user-id9tp6if2v]

absolutely beautiful

[@compositeboson123]

most dramatic music of all times loved it

[@zavitak]

I am way too impresed by this lad. Not only he knows his numbers like the tip of his nose, but he made the MUSIC HIMSELF AS WELL. Congratulations.

[@migsy1]

This is a perfect video. Simple as that.

[@Ceafto2007]

Looks like the final level of a puzzle game

[@7yamkr]

Music perfectly syncs with the desmos 1 of the best video😂😂

[@dixcico5052]

when your equation starts to look like a spaceship, you should get a new major