Mappings on complex plane

[@sprexio809x]

My blaket everytime I try to find the big space at 3 am

[@Zappitoast]

Why is this so real

[@jacquelinefarago]

​@@Zappitoastsame

[@user-og7tm4me2n]

big space?? you mean the long side?

[@reperadis]

​@@user-og7tm4me2n No, their blanket is simply a four-dimensional one

[@meaninglesstree]

@@reperadisNoob, mine is 5d

[@jasperzanjani]

I can just imagine some guy on shrooms watching this video with a look of horror on his face

[@enkercodm9506]

AHHHH THE DMT GODS ARE TRYING TO GIVE ME THE KNOWLEDGE OF THE UNIVERSE!!!!!!!!!!!!!!

[@nkacey2000]

"Its just a silly complex plane video, dont go too hard on the music" The music:

[@Ukraineisgood]

0:12 looks like Mandelbrot

[@zoranradakovic2199]

It is mandlebrot in a sense,it contains itself

[@artemidastu111]

"топ 10 топологий для ваших 3д моделей"

[@ChishirTheCat]

Да, я также играюсь с окружающей меня материей, когда мне становится скучно (иногда это приводит к случайным телепортациям в пространстве)

[@Limbo-key624]

When I find a comfy spot on my blanket, and I accidentally moved a little and me trying to get the comfortable spot back:

[@ianmoore5502]

0:32 is the venn diagram of comfortabke positions for you and blankey

[@enkercodm9506]

I love how this is just a repost of the top comment

[@RiRiRiPoks]

Ppl rlly think they can just paste comment and hope the original one will drown

[@ianmoore5502]

@@RiRiRiPoks bros out here stealing comments and hoping the original will get overshadowed by slightly different wording

[@Two_Teapod]

0:10 MANDLEBROT JUMPSCARE

[@CelticMandelbar]

0:12 mandelbrot 0:26 mandelbrot power 5

[@noahdirksen3623]

just a cardioid

[@chartroniumdude5870]

not even close buddy

[@noahdirksen3623]

@@chartroniumdude5870 its kinda close, its a cardioid, and some people dont know that. i will give him the benefit of the doubt

[@g-ray4088]

more like the mandelbrot embyro, lol

[@abyxlrz]

this reminds me of the sburb loading screen

[@korbenhill9688]

Pov: trying to find the short side of the blanket

[@VitorMiguell]

Topology is no joke

[@Tristis_Nomani]

You fell asleep first at the sleep over:

[@chronosVR.2763]

me trying to find the long end of the blanket:

[@NeoTheBuffon]

ah, i see (no, i don't)

[@BooWomp-vr5zu]

My shirt when im trying to find the head hole:

[@kentag5869]

For angle preserving characteristic, lines of two colors cross at right angles after mapping. When they do not, they are in different branches folded on each other, or failing for numerical error (isn't the last one the severest?). I wonder how shapes in between are calculated. Thank you for sharing great video.

[@CGBurgerStash]

Let w=a+bi, put this into function f(z)=z^2 then, we can get w^2=(a^2-b^2)+(2ab)i Let Pi=(a,b), Pf=(a^2-b^2, 2ab), respectively initial position, final position. Let T(time) increases from Ti to Tf, Let F(factor)=(T-Ti)/(Tf-Ti) Let Pt(position at time t between initial and final)=F*Pi+(1-F)*Pf This animation shows Pt changing from Pi to Pf, and again to Pi, for every position on 2d grid, for every mapping function. + I remember I learned so called "conformal mapping" in my undergraduate engineering-math class, It was very long time ago haha. Now I love to use ChatGPT, it tells me that "Holomorphicity" and "Non-zero derivative" are the conditions to be "conformal mapping".

[@vovaaw]

Beautiful

[@user-rp1pn4cv6u]

People on changing 2D plane: WTF IS GOING ON!?

[@user-vh8fc4rr1h]

pov: my feelings when summer is coming

[@helo_tonk_here]

My blanket doing some 4d shit when im trying to get it to be nice silo i can sleep:

[@meguellatiyounes8659]

awsome

[@jhonariza7802]

0:20 tan(x)

[@sieugach]

Can be a chess set

[@ckcky1755]

Ah yes... one of the flat

[@Spiderrtank]

So... Which function will map the graph as Jenova?

[@CGBurgerStash]

What is Jenova?

[@AaronRotenberg]

​@@CGBurgerStash Look up the music track "J-E-N-O-V-A" from Final Fantasy 7.

[@cavejohnson8085]

is this so that the lines are straight?

[@heheRika]

Тангенс так похож на магнитное поле.. ого

[@jaydensanimations7022]

(Between 0:12 and 0:13) *SPAWNS CARDIOID*

[@jaydensanimations7022]

@@greenGuy4969 …

[@enkercodm9506]

I hate how there so many fundamental laws of the universe and im too human to comprehend it/remember it all

[@willyhoussart7842]

Mortellllll :D Merciiiii :)

[@handleAlreadyUsed]

what software do you use?

[@CGBurgerStash]

Blender!

[@handleAlreadyUsed]

@@CGBurgerStash cool!

[@JackSalzman]

Blender!? How?? I would subscribe for a tutorial on this

[@CGBurgerStash]

@@JackSalzman Wow rreally? I should get to it right away then!

[@kevin_the_pixeladed]

My eyes when i close my eyes in sower

[@aaaaAAAA-zf6wr]

Limbo reference

[@user-bq5ls9bw1u]

pov: me with origami

[@DevyGonza]

how we evolutionize from eat raw meat to this

[@degebs7146]

How can i do this?

[@cerulity32k]

me after spicy chip

[@Planetary-1]

What you learned from youtube but it isn't a topic or a lesson that you are in nor it is at your grade level:

[@user-ee5oz2il1r]

CLIPPING??!!!??!!!!!

[@gamer-nm8fc]

where did you graph this?

[@CGBurgerStash]

using blender!

[@gamer-nm8fc]

@@CGBurgerStash thanks

[@HalfBreadOrder]

vsauce2

[@samtheking5759]

0:01 LEAFY?!?!

[@zoranradakovic2199]

Nuh uh

[@Fir35ton3]

How did you do that?

[@CGBurgerStash]

Let w=a+bi, put this into function f(z)=z^2 then, we can get w^2=(a^2-b^2)+(2ab)i Let Pi=(a,b), Pf=(a^2-b^2, 2ab), respectively initial position, final position. Let T(time) increases from Ti to Tf, Let F(factor)=(T-Ti)/(Tf-Ti) Let Pt(position at time t between initial and final)=F*Pi+(1-F)*Pf This animation shows Pt changing from Pi to Pf, and again to Pi, for every position on 2d grid, for every mapping function.

[@32.thinhvo60]

Can someone help me explain this? Does this work on Cartesian coordinate system?

[@CGBurgerStash]

Let w=a+bi, put this into function f(z)=z^2 then, we can get w^2=(a^2-b^2)+(2ab)i Let Pi=(a,b), Pf=(a^2-b^2, 2ab), respectively initial position, final position. Let T(time) increases from Ti to Tf, Let F(factor)=(T-Ti)/(Tf-Ti) Let Pt(position at time t between initial and final)=F*Pi+(1-F)*Pf This animation shows Pt changing from Pi to Pf, and again to Pi, for every position on 2d grid, for every mapping function.

[@32.thinhvo60]

@@CGBurgerStash thanks 😁

[@glitchersnadin305]

Why is it synced-

[@CGBurgerStash]

I downloaded this music from "audio library" in youtube studio -> sync animation to audio -> upload video -> youtube recognize the used "audio library" in this video and then, mark the audio in the description👍

[@HJ28_398]

0:14 ? Call it Toji Fushiguro, how it's missing its left side. Reupload of a comment because I think youtube doesn't allow desmos links in comments.

[@HJ28_398]

KZbin won't let me link to the desmos graph :(

[@CGBurgerStash]

Thank you for commenting, do you mean "z^(1/2) mapping" should have left side? (Re(z)

[@HJ28_398]

@@CGBurgerStash 👍 You can only graph sin(z)? As in the graph from the video, or just with z=x? Desmos can't do imaginary functions and it gets angry at you when you try. But you can do workarounds that make you feel like either a genius or a conman when they work. One example of a conman strategy is using tan(arctan(I,C)/2) instead of doing any big funky maths, to get a gradient with half the angle of an original one.

[@A6C75.47]

So... How this will help me to unrwap uv's?

[@CGBurgerStash]

oh interesting approach, well I think uv unwrapping depends on where you set the seams, in that sense, these mappings are useless 💩

[@ESeth-xb5cu]

Add number tracker

[@amandacourtney3519]

Why do I see a basketball? 0:18

[@CGBurgerStash]

when z=a+bi -> f(z)=cos(z) with constant a (vertical red) -> hyperbolas with constant b (horizontal green) -> ellipses -> looks like basketball

[@carlosedmunds5531]

The test isn’t that hard! The test:

[@hkayakh]

Alright now someone explain what’s going on here

[@Shadow-x658]

Is this physic? Or is this big big big numbers?

[@CGBurgerStash]

Let w=a+bi, put this into function f(z)=z^2 then, we can get w^2=(a^2-b^2)+(2ab)i Let Pi=(a,b), Pf=(a^2-b^2, 2ab), respectively initial position, final position. Let T(time) increases from Ti to Tf, Let F(factor)=(T-Ti)/(Tf-Ti) Let Pt(position at time t between initial and final)=F*Pi+(1-F)*Pf This animation shows Pt changing from Pi to Pf, and again to Pi, for every position on 2d grid, for every mapping function.

[@Shadow-x658]

oh my god

[@SagaEf]

The cold spot on the bed when you readjust:

[@proxagonal5954]

SLOW DOWN

[@fortcraftgaming2136]

Do f(z)=sin(z)^2+1

[@Theorynumbers1234]

X=6?

[@fortcraftgaming2136]

Maybye

[@user-rw3qv7sv1z]

No ζ(s)?

[@CGBurgerStash]

Riemann zeta function! It might take some time to make an impact visualization with zeta function. first of all, I need to study more about that

[@user-rw3qv7sv1z]

I can recommend the book "Prime Obsession" by John Derbyshire.

[@MarkL.Buncaras]

My blanket when I move too much while sleeping normally:

[@MeliacPropulsionLaboratory]

This is why I hate math…….

[@Waffle_-ft8nb]

I love metttthrrgnm

[@maxim999_]

Uh

[@CGBurgerStash]

How to make this : kzbin.info/www/bejne/eprPpmZ4a5ahd5Y