3d Graphing in a 2d Calculator (Desmos)

[@thedankgoat7972]

This is the kinda thing that would make an ancient Greek mathematician decompose on the spot

[@shmillsyshmillsy6624]

Ancient Greek mathematician here, this made me cream my jorts

[@darthidiot7563]

@@o.s.h.4613 fun fact: Pythagoras actually came up with the idea of calculus before Newton, but his works were destroyed by some priest guy Source: Vsauce

[@vakseen2618]

decompose

[@SirToastyToes]

And, you know, being many times older than a single human lifetime

[@jobesnow4437]

Lol

[@mihl6694]

You're appealing to a really niche audience with this video, but this is one of the most impressive things ive seen in a while

[@realzener1918]

i have no clue wtf is happing just cool and jojo

[@SpiteAnims]

You'd be surprised how many people who go onto KZbin just to see cool shit

[@good1742]

Niche? Bro I have straight D's but this is cool

[@haydenthai935]

Niche? Bro I have straight F’s but this is cool

[@somerand0mpers0n]

Niche? Bro I'm in possession of a firearm but this is cool

[@rishi4997]

"I have no idea what im doingand i haven't the slightest clue how 3d graphics work" **Proceeds to explain orthographic and perspective views**

[@thomasdebock1948]

That's simple as hell tho

[@thomasdebock1948]

@@potatoman7945 bruh it's literally just if there's perspective or not, in perspective (what we see) things that are closer appear larger, in orthographic this isnt the case. The image makes it pretty clear dude

[@foxmccloudizsexy]

Othographic project a prefectly perpendicular view going into the plane, farther parts or feature will appear to have the same size as closer object. Perspective view will show farther object be smaller which simulates what we see with our eye.

[@cherryclorox7717]

Orthographic and perspective are 2d views so he’s not wrong

[@jbritain]

@@potatoman7945 Orthographic: stuff further away doesn't get smaller Perspective: stuff further away gets smaller I also have no idea how 3d graphics work

[@rawrtedthanos]

He sounds so depressed and done, just like all great mathematicians, hell yeah. Wait, do computer scientists count as mathematicians? Cause if so that's going to increase the depressed/done v energized/crazy ratio

[@D00000T]

Yes they do. The depression of having to constantly change something and recompile your code is on par with mathematician depression. Only one that’s a bit higher than both is physicist depression since their work is not only existing on some sheet of paper or screen

[@whong09]

We're not mathematicians we just bang shit together until it works.

[@thedugdugman45]

Why not major on both in college ?

[@torque8047]

They sacrificed their sanity for 2 transistor

[@deanmcmichael8843]

@@whong09 That's what mathematicians do tho

[@THESKILLZZ9]

When I thought adding a slider made me pro in desmos...

[@asheep7797]

@Insert Name Here Tetris reference or am i not cultured? (probably the 2nd one actually)

[@sushant2664]

I once tried making a simulation of the solar system in desmos and thought that was crazy. Boy, was I wrong.

[@stellanhughes2549]

Try again but make the planets rotate

[@Delo997]

2-body or N-body?

[@randomstuffprod.]

this IS crazy

[@ethanebang8902]

Now theres 3D DESMOS

[@StannyObelisk]

I'm out here still struggling to draw a cube with OpenGL and this dude is out here doing it in a GRAPHING CALCULATOR.

[@wasabithumbs6294]

To be fair I think it's genuinely harder to do in OpenGL, I also made a 3D renderer in Desmos but instead of the polar coordinate bodge I went with the more classical vector & quaternion math route that would be familiar to programmers that ever worked with 3D graphics; and even though it's heavy on the math I don't have to deal with weird memory allocation stuff

[@JacobIX99]

I mean.. it's considerably easier in graphing calculator dude

[@vappyreon1176]

​@@JacobIX99 yeah that's their like purpose lol

[@Wolf-yp2qk]

"I have no idea what I'm doing" *Immediately cuts to cylindrical coordinates*

[@iamvariable01]

😝

[@EVRLYNMedia]

sooner of later this guy is gonna make a ray tracing rendering engine in desmos

[@mshuman]

It’s possible! Demos has custom colors with rgb and hsv functions now! You just need to calculate the normals of each face and adjust the value based on how much light would hit it. (Not ray tracing, but at least similar lighting data)

[@EVRLYNMedia]

@@mshuman wow lol

[@joda7697]

@@mshuman well, where's the desmos engine link? /j

[@shadowshibe5962]

My friend figured out how to

[@EVRLYNMedia]

@@shadowshibe5962 woah

[@morganschoff7302]

I. Are people legitimately just coding using straight-up math??? This is insane. I hate this. I love this. I want to marry this then have it go missing under mysterious circumstances and when the police come to question me, I wear a fluffy pink robe and obliquely dodge their accusations. I'm immediately subscribing to you.

[@meihem2809]

i love the comment but isn't all coding heavily dependent on straight-up math

[@wheeI]

@@catinwall4256 yes?

[@cachemist4149]

functional programming: allow me to introduce myself

[@wheeI]

@@catinwall4256 machine code (what all code is translated into): adding numbers adding negatives to numbers adding numbers a lot of times comparing numbers

[@nmay231]

@@wheeI Is all of life quantum mechanics? Just because something is based on something else, it doesn't mean that's all it is. Unless you are a [insert category of philosophy here].

[@mycotina6438]

"I'm depressed, tired and bored. So let's get drunk and re-invent math" -John 2020

[@IMayHaveNukes]

This guy talks like a text to speech program.

[@emaaaaax]

I legit thought he was using one until I read the comments lol

[@aliciavivi2147]

Wait is he not?

[@ohmygoodsnes9879]

Noice. I really feel like you should have more subs.

[@ivansesaldo1676]

Every youtuber who does stuff ever: "i will do this stuff that I really have no idea about" *proceeds to create it beyond expert levels*

[@mantacid1221]

Hi, i was messing around with this, and decided to make a 3d render of a Bézier curve in 3d space. To do so, i would need to make a function to convert from Cartesian to polar. Any idea how i could express the h value in terms of x, y, and z?

[@mantacid1221]

Nevermind i got it to work.

[@shadmanshafin5307]

@@mantacid1221 Congrats

[@platos1336]

@@mantacid1221 nice

[@Ikxi]

dafuck you doing bezier curves?? how tf would you even achieve that please don't answer, I don't want my brain to explode from math

[@jacobhebbel6448]

Hi! High school precalc student here; would you mind explaining this? I love learning about this sorts stuff and it would really make my day if you could show the equations and math/logic you used to make the render

[@TheDartFrog]

this video is pure gold, the editing and everything just comes together so well, good job!

[@TheRealZeaga]

Really well-done! Your personality and editing were great. One thing I'm surprised nobody mentioned is the lack of a pop filter

[@swisscheez8424]

3d graphics actually use something similar basically you need to take a point in 3d space (x,y,z) and turn that into 2d space(x,y) as a computer screen has no z axis the function is this: f(x,y,z)=(x/z,y/z) and then you can use cos and sin to add rotation. the rotation part is complicated but I can explain if you want. EDIT: I was typing this comment in a rush and forgot to explain a major point: the function is used to map a 3d point on to 2d space, it does not actually draw anything

[@otesunki]

you... yes.? its not "similar", its identical its polar vs rectangular coords

[@swisscheez8424]

@@otesunki your probably right, and also know more about this than I do lol

[@wasabithumbs6294]

You can't simply divide by Z as perspective does not work linearly, if you think about how a camera works in real life it's about where the light ray intersects with the sensor of the camera and that gets converted into X/Y coordinates by the sensor; for a virtual camera we can imagine a line from the vertex we want to project onto the screen to the origin of the camera and see where it intersects with it's "near clipping plane", something similar to a sensor. Getting the intersection point requires trigonometry It's fine to divide by Z if all you want is an approximation of 3D such as parallax backgrounds in 2D games, however if you try to render a 3D scene and a moving camera with this method it's going to look very weird

[@kylebowles9820]

​@@wasabithumbs6294 no it doesn't require trig to project and intersection with planes and lines. It only takes one divide. In 3D graphics we use homogenous coordinates (x, y, z, 1) and the equation for a projection matrix which is 4x4. You then simply divide by W (homogenous coordinate) to get to 3D Normalized Device Coordinates. 1/W is not a linear function, it's the correct nonlinear relationship you are talking about. The equation for a ray plane intersection is t = dot(pn, pl - ro) / dot(pn, rd) No trig there either, just the divide. The trig is secretly baked into the normalized vectors taking the place of the sine and cosine, division giving access to tangents and the rest.

[@wasabithumbs6294]

@@kylebowles9820 been doing it wrong then :) but I see the logic

[@thedankgoat7972]

this actually makes me want to learn math

[@kerbberbs]

This should be a video that would have like 4 million views.

[@DaVince21]

The dry voice is offset against the wild music and the dry explanation is offset against the wild ideas and visuals. This video is perfect.

[@MsMacintosh]

So this is what math is used for outside of class. This person is an absolute madlad. This needs attention.

[@aydenbales]

This is beautiful. Keep up the good work

[@neillcoetzer9133]

God bless desmos. Honestly so good. Been using it for analyzing lab results for my studies, lmao

[@blue_leader_5756]

Honestly the shaky camera at the end kinda helps to sell the impressiveness. Very cool!

[@Prod_by_proto]

This guy.... This guy makes math cool even though I never have any idea what he's talking about

[@timbomb374]

I wanted to do this at one point but never found the time to sit down and figure it out. Now my mind can rest easy knowing that someone figured it out.

[@arstino]

this man got bored and then created a 3D engine on a graphing app just because, what a legend

[@rasmysamy2145]

My man really just programmed a rasterizer projection matrix in desmos but slightly shittier and in cylindrical coordinates. I'm very impressed, nice job

[@m3morizes]

I really love the montage with the music at the end. Why can't people present and appreciate math in such an epic way like that more often?

[@spruceg00se]

Damn this is insane… was not expecting you to only have 5k subs!

[@Jim-be8sj]

Very cool. Desmos is an amazing tool. I am always surprised by the capabilities.

[@yoavmal]

After so long, desmos actually created a 3D grapher with... orthographic and perspective projections the exact same as the video

[@skedlmennneddennedneneemd9249]

Here before this blows up, but I know it will because of the how cool this is.

[@xgozulx]

third time I watched this, it is slowly becoming one of my top fav videos on the internet xD

[@thearmoredpanda6669]

I tried making one of these myself on my own time, and it hurt me to see you breeze through problems I struggled with for multiple hours, but it was also really enjoyable when I saw you come to the same solutions as I did, but the thing with rotation along the y axis hurt, because I had not gotten past the circles getting bigger and you easily breezing through it hurt

[@garrettfuller5456]

finally, youtube recommends me something i have an immediate use for.

[@igotaphatass8335]

This deserves much more attention than its already gotten

[@pencilwastaken8526]

This mans literally creates a 3D engine on a graphing calculator in 3 minutes

[@draxelchang5411]

I’m impressed. Jaw dropping stuff. Thanks

[@furyzenblade3558]

Haha nice job, super fun desmos graph to play with

[@spirk314]

this guy is seriously underrated, such cool stuff

[@haroldbn6816]

I love desmos, this graphic calculator help me resolved an engineering problem in real life in situ.

[@josephyu4480]

"I have no idea what I'm doing" *Proceeds to talk in language beyond human comprehension*

[@XiaoMingXing]

You lost me at “3d graph from scratch” but it was still entertaining.

[@AdrianGhastly]

As a 3D Modeler I have no clue what the hell you are doing but I am incredibly impressed

[@PotentiallySky]

this is the most interested I've been in math since like 6th grade

[@sunimod1895]

Can you do matrix multiplication in desmos? If you can you could use the perspective matrix, rotation matrix, and translation matrices to do everything for you

[@good4usoul]

You can do X(A,B,T) = A cos(T) - B sin(T), Y(A,B,T) = A sin(T)+B cos(T)

[@ziggyzoggin]

that was really cool how you made it with illusions like that! I mean normal computer 3d is an illusion but this is more illusiony

[@Wiebejamin]

The JoJo music ties this together in a unique but fulfilling way

[@DevashishGuptaOfficial]

Absolutely blown by your stuff! You earned a sub ❤️

[@prionto6148]

This is modern art at its peak

[@imajon4122]

Math with Golden Wind. Good touch.

[@SachiN-Vishwakarm]

loved it maan......please keep uploading videos like this

[@nwy8889]

awesome stuff! I want to get to this level of math fluency someday!

[@detectivesky6123]

BAKANA- This lad has done what i thought to be impossible

[@PuffDaGoat]

this is a certified 3D graphing in a 2D calculator moment

[@zenithalizesquads4873]

Can’t wait till this guy create a 4D shape with 3D calculator.

[@Qyubd]

i have absolutely no idea what this man is talking about but i enjoyed the video anyways

[@smolboye1878]

I did this but found it a lot easier to just do the frustum projection math, it's pretty easy when you frame it the right way

[@miles7178]

I'm bummed your videos don't have more views. They're really interesting.

[@agustingramajo8350]

Now you need to make Doom run on it

[@xgozulx]

this was so epic and fun xDI loved it :D

[@Copley-vf9vz]

now make a 4D grapher with the 3D graphing calculator

[@xbennly92]

"idk what im doing" proceeds to explain in a perfect amount of detail on whats happening

[@psychpile]

Feels like the chance to make a very good data visualizer

[@TheChunkyTortoise]

This is probably the nerdiest thing I’ve ever seen, but some how I was actually entertained

[@ethanstoehr4420]

“Because it uses trig instead of lists and sums in runs fast” lmao felt

[@jacob4097]

absolutely brilliant. First video of yours I've seen and I loved it.

[@peeyushgautam77]

Genuis This man shall be saved at any cost

[@benphillips4928]

tbh desmos is very well suited for 3d visualization, I have some perspective projection functions I've been using for years now to do all sorts of things like visualize vector problems and demonstrate quaternion math. 4d projection is even feasible without much performance hit, I think desmos should just make these 3d functions a part of the calculator. But a lot could be said for added features. I think I learned to code in desmos before I knew it was a coding language

[@icebarefoxy]

This video has suddenly made me want to become a God mathematician so I can simply pass the time in math class

[@cardrabitt1159]

The jojo music accurately articulates this guy’s power

[@yugen2811]

That was fascinating for a 3 min video, I like it

[@kirbsly]

I have been experimenting with 3D graphing in desmos. I have made a 3D game engine along with a procedural cylinder generator. I just wish I could make look as easy as you do. 👍

[@brian12463]

now make a moving 3d perspective camera in desmos, I tried but it looks terrible

[@ernest3286]

Haha, Golden Wind at the end was pretty funny

[@KrazyCouch2]

How have I not seen this video yet. KZbin recommendations have failed me...

[@bluium7603]

now that 3d rendering and machine learning is possible, can you run doom on desmos?

[@connorgordon2285]

Use a sock for a pop filter, or if it is on your headphones a really small sock

[@SmartGamer1234]

Very cool! One more thing you could do to improve it is make things behind other things not be rendered, but that would probably be insanely hard…

[@samuelmaurer6473]

can it run doom

[@arefinlabib4630]

what a golden experience!

[@findmehere]

this is something really impressive

[@mrbeaninajapaneseschoolgir6307]

I misread the thumbnail and thought you were gonna graph a 3D reindeer on Desmos.

[@thatskap]

get a pop filter. this video rocked good job

[@avijitsarker645]

Dude you're a magician

[@insertgoodname8590]

I like how he has jojo music in the background to show how epic it is

[@ammonkunzler3948]

Amazing work!

[@ryanmarks1224]

good vid man! really interesting stuff

[@hobocraft0]

The hero we never knew we needed.

[@paris_mars]

I like how the end seems to have just been filmed on your phone.

[@re.liable]

wtf bro you're a genius

[@Green24152]

Didn't expect that music choice.

[@sibottle]

He makes it sound so easy

[@MuradBeybalaev]

I noticed some fudging. And you left out the most interesting part: the input interface. In my experience, convincing Desmos, that points can have more than two coordinates is quite a task.

[@catakuri6678]

Giorno's theme makes this 100 times better

[@cadenbdaniels]

My dumbass read the thumbnail as “3D Raindeer” and was still impressed despite the disappointment of no 3D raindeer.

[@giveitupforbeabadoobee]

damn the giorno theme completes it

[@hydrochloricacid2146]

Today I learned that there's a Desmos hacking community