Ellipse-billiard simulation

Some peculiar reflection properties of an ellipse billiard are shown.
Done in Python & ffmpeg.
Music by @gpcbass!

[@milandavid7223]

"I just wanted to have some fun with an ellipse, then all of a sudden the rest of the conic sections showed up"

[@wedmunds]

The parabola didn't.

[@Chloe1312]

@@wedmunds yes it did, right at the end

[@bloop284]

I don't know what that means

[@antipastamony]

@@Chloe1312 were those not a hyperbola?

[@richoleeplazo5755]

*flashbacks to long and painful lectures about conics* AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA

[@puppable]

what the fuck I just wanted to see some geometry and ended up having a spiritual experience

[@TechSupportDave]

I thought I was the only one who transcended past my body and soul.

[@Subscriber9192]

@@TechSupportDave same how do i get back lol

[@MrScreechingWeasel]

One might say it was... *ahem*.... sacred geometry. :D

[@puppable]

@@MrScreechingWeasel that term is redundant. geometry *is* sacred

[@robertstuckey6407]

Alright Pythagoras

[@rodrigoteresa7944]

Always get chills watching this. We live in a reality based in deep mathematical truths and getting a glimpse of them just feels so enlightening, even if you don't completely understand what's going on...

[@mintyminxduo]

average r/atheism user

[@AMH793]

@Corbone different Ted

[@androos4135]

rodrigo teresa

[@1738Creations]

No, you created a reality based in deep mathematical truths. That's how you make sense of the universe, not how the universe works.

[@sprinngam2536]

@@1738Creations totally wrong, scientist came up with ideas, did the work and got an answer. Then started to test irl and a lot of times they were right. The most recent one is the black hole photo, we already had a lot of information about black holes but it was never really confirmed. Then we observed a black hole and it turned out it was exactly how we thought i was. Math exists in the universe, we just need to find the ways how it works

[@spyrosk.1881]

I really love the music in this one. It sounds rather nostalgic, makes me sad and happy at the same time. FYI, it is called "Stella By Starlight", soft intro.

[@AndromedaCripps]

Oh. My. God. It *IS* STELLA BY STARLIGHT WTF I saved this so long ago for the music not even realizing it was one of my favorite Jazz standards- it’s just missing the melody!! And the instrumentation and voicings were so foreign I never realized. The best part is I saved this in a playlist for a dnd game I run set during the jazz age, not as a jazz song, but for some specific trippy/magic moments, but god it just makes exem more sense now; it’s like taking the music if the period and reimagining it, just like how I took the period and reimagined it for my game!!!

[@andrewescu]

It makes me think of music from an old video game.

[@starrdustt5442]

I was wondering why the music sounded so familiar, and I think I figured out it’s because the beginning sounds almost identical to the beginning to Something About Us by Daft Punk- well, identical to me, but idk

[@WitchKing-Of-Angmar]

Holy big fuck this is not nostalgia. Jesus christ are you the generation of misusing words and terms that 'vibe' with you.

[@pushkinadesign]

@@andrewescu strange music

[@lyledrake6879]

What odd corner of youtube have i stumbled into now?

[@azertyuiop432]

the methematical more precisely the geomethrical one

[@MollyNPercs]

Why is this on my feed?

[@inactiveytchannel]

interesting one

[@-NGC-6302-]

The cool one

[@berdan2810]

Physics

[@LordWhiteWolf06]

what is this emotion?

[@Ultrawup]

Definitely trantiveness.

[@Tsopni]

Geometrness and Mathstalgia

[@pavlemomcilovic5653]

Yo, LordWhiteWolf, when is the next video

[@jasondeng7677]

Ellipse: A mixture of nostalgia for a time in the far future and subtle loneliness

[@runstarhomer2754]

Math

[@Batortorofl]

I'm in 4th year and I have 0 idea what this is but it looks very beautiful little did I know that math can create such mesmerizing art just from numbers, this video changed my whole perspective on mathematics and made me learned to love it, truly amazing!

[@bitonic589]

It's simple. Ray collisions against an ellipse. It looks damn amazing though, like the top comment says, I literally expected to see geometry not have a spiritual experience

[@arjunjain87]

@@bitonic589hey, can you please explain to me what the “varying start vector (thick white line)” actually mean geometry wise…??

[@bitonic589]

@@arjunjain87 ... bruh

[@eqwerewrqwerqre]

@arjunjain87 well i wouldn't actually say it's simple. Maybe to someone familiar to vector mathematics but like, I'm sorry that guy is like that. He just doesn't have the empathy yet to understand. Anyways, he's right that rays are reflected at the walls just like a mirror. If you set a mirror face up on a table and look straight down at it you'll see yourself. But as you lower yourself to the side of the mirror you'll see progressively lower and lower angles of reflection. We say that for reflection, the incoming angle is equal to the outgoing angle, measured from the plane of the mirror. Or if you're familiar with coordinates, the y coordinates are reflected back up like the absolute value function while the x coordinates keep going. The changing input angle thing is just the specific place and direction that they start the light ray. They let each ray trace out a shape for a while, make that a frame of the video, and then move the starting ray abs run the the simulation again. The reason the shape changes is because it takes different paths through reflection. You can see the shape change drastically as it passes through the focal points. As displayed earlier, when the ray starts moving such that it passes between the two focal points (white dots) it will always cross from top to bottom between the two dots. When it starts outside of the dots, it will never cross between the two dots. It's just a fancy simulation to display how cool it looks while it changes location.

[@sophiacristina]

I learned way more about math by visuals and intuitive approaches than how school taught me...

[@MAJJASTAK]

Any Mother game's ending in a nutshell

[@TunaAlert]

0:55 that part was really satisfying.

[@jamesjan381]

i found 1:20 a lot more impressive

[@dreamprofessor7220]

Aww two cats

[@it_genfailure]

@@dreamprofessor7220 Aww 2 cats and a kitten

[@dreamprofessor7220]

@@it_genfailure Nyan

[@Nobody-pv9jt]

Still not 1 million?

[@erikliljeberg3291]

I feel like I’m uncovering the universe’s deepest secrets… Edit: Yes, of course I know this isn’t LITERALLY the universe’s deepest secret. It’s just a joke I made because of the feeling you get from the music. Please calm down, people.

[@alexleaf4468]

The universe isn't perfectly round, let alone our galaxy. Technically, the black hole at the center of our galaxy and/or universe, which has become less of a theory, thanks hubbel, may have an elipse-like gravitational field. I dont have the sources for that though, so don't take my word for it if you don't want to.

[@Chazzy499]

Bruh

[@smuglife64gaming21]

Lmao

[@lmaoghost4932]

Peter Lukas you’re alive

[@Sciencedoneright]

Actually, you sort of are! Mathematics teaches us the beauty of this world and the hidden secrets of the universe

[@emilygordbort7300]

Math is one hell of an artist

[@shanedeleon5376]

Came for the visuals, stayed for the melancholy synth jazz

[@mondomola]

"I was just cutting an ice cream cone and all of a sudden I was into a trance of mathematical beauties"

[@exegd.]

the real problem here is why are you cutting an ice cream cone.

[@kieranmcginley1262]

I'm eating ice cream rn as well

[@dissapointment630]

Your sick

[@nathanmulder8947]

@@dissapointment630 you're*

[@dissapointment630]

@@nathanmulder8947*OK*

[@jangtheconqueror]

I love how there seem to be these "resonant" reflection points

[@Rotem_S]

These are actually pretty close to resonances! They're states close to being orbits of the mapping, and like most things in chaos theory they have some great properties. For example, under some "niceness" conditions, the existence of a single 3-period orbit esonance implies the existence of orbits of all other size, including infinity and chaos.

[@VEE0034]

What? Please explain in layman's terms I'm retarded

[@SimulatingPhysics]

And what I found more impressive is that these points are still visible in the quantum version of the billiard. This is called quantum scarring.

[@titangaming8627]

A What??

[@barandennis2421]

@@Rotem_S the sudden order in the "chaos" did remind me of the bifurcation graph

[@tobee_gamer5816]

No words can describe how this song makes me feel

[@edolon_vryche]

YEAH FR this specific genre is so fascinating to me. the music here, the weird incomprehensible vibes, the colors.... similar vibes to the unsettling colors and sounds in videos like "turning a sphere outside in" and that sort of thing. i NEED to find more content like this. i NEED to be perceived as this vibe idk it fascinates me so much.

[@matteobanchio2786]

kzbin.info/www/bejne/n5Lbh2mifJuop8ksi=ntQmEd5-ZbkYvgLI here you have the full song guys

[@borisnikolov1697]

what genre is this?@@edolon_vryche

[@leoaso6984]

If you draw the lines from the foci to any point on the ellipse, the normal at that point is at an equal angle to both lines. So a ray from one focus is reflected towards the other. Likewise a ray outside one focus is always reflected outside the other one, same for inside. Simple in theory, but mind-blowing when visualized.

[@metalmr.i9543]

what i learned from this: i am still a baby that gets distracted and entertained by just some colored shapes moving :•

[@nopinas7152]

Ya''ll we still are...

[@mewxtherealitygod4706]

@@nopinas7152 and i get upset when itstops

[@ASDF-st1ug]

Same

[@brigittebennett3087]

Same

[@nightglide_]

We 💀 together

[@MelodicaDude]

This is gonna be up there with "How to turn a sphere inside out" and those sorting algorithm vids some day

[@Airblader]

It won't, because this isn't memeable and the audience watching these videos out of actual interest is too small. Most comments on topology videos like sphere inside out is just meme lords with dumb comments.

[@ihatethatyoutubedisplaysyo8106]

@@Airblader sounds pretty elitist, those videos wouldn't be a meme if people didn't enjoy them.

[@Airblader]

@@ihatethatyoutubedisplaysyo8106 Of course they enjoy them. But not for the topological ideas or math they represent and are meant to convey. Which is fine, but the difference is that sphere inside out has that meme character which is why those people keep coming back. This video is just kinda interesting to watch but not memeable, so I just doubt that it'll ever get to the same status.

[@Airblader]

@@ihatethatyoutubedisplaysyo8106 Also, there's nothing elitist about this. I'm not trying to stop anyone from learning stuff watching those videos and beyond. It's just most people watching it these days don't, they just make ignorant comments or dumb memes. I don't mind them choosing to make dumb comments, but that's what they are.

[@ihatethatyoutubedisplaysyo8106]

@@Airblader yeah, you're right

[@lob_ter]

Man, the way that this music brings meaning to something totally mundane is incredible. Whoever this gpcbass guy it, he's talented.

[@DNAHCKR-eo9nd]

At 2:09 This line came in my mind... "Now is the time for your demise" ~ Shanoa from Castlevania OOE

[@antoniogarest7516]

Looks like I've watched a deep secret about reality I wasn't supposed to

[@harleyspeedthrust4013]

that's what studying physics is like sometimes... boy the stuff we learn

[@astroknight5]

1:22 video games where the player can make different story choices

[@yeye-bt5fy]

True

[@bread8465]

Damn this is one clever comment, it should have more likes

[@zxylo786]

Tell Tale be like:

[@alexisaguirre6349]

Fr

[@radiantMotion]

but they all lead to the same ending

[@pauloluciopanissonmoro9353]

This is so interesting :0 I love these "random" videos i find sometimes. They always teach me something new about a subject I already studied, and it's always amazing.

[@Th.Alchemist]

This is the type of things you see and feel on a shroom/LSD trip

[@paulocardoso9605]

0:55 is like watching the DVD logo screensaver on a DVD player. You expect them to hit each other, but they never do.

[@faiqassassin9100]

Its kinda mesmerizing

[@qunai_]

now that you mention it, it annoys me that they dont touch.

[@kakadude9323]

I rewatched it frame by frame and I'd say 1:10 is close enough

[@TabahaniaMalaysian2013]

@@qunai_ It's hard to watch it touch eachother once the shape quickly arises, the wormhole spacetime shape and the hollow circle.

[@parknplay8328]

there's one frame at 1:12 where they intersect

[@amandageistwhite5694]

that background music made my fight or flight responce activate

[@eviethekiwi7178]

I think i could vibe to this 🎧

[@roylowe713]

@@eviethekiwi7178 ikr vibe shack out here

[@ohutchie]

It gives me "everywhere at the end of time" vibes

[@billclintonscomputer1408]

wtf do you mean

[@cheesus8594]

@@ohutchie yessss same

[@peterobevitz9331]

That was one of the most divine things I have ever seen. Thank you.

[@agiantsquid8552]

This is the best 2 minutes and 40 seconds I’ve spent on KZbin

[@SimulatingPhysics]

Hi Alexander, this is an amazing demonstration of the properties of the ellipses. Thank you for making it!

[@pvic6959]

my mind exploded when a smaller ellipse and a hyperbola were created at 1:15. math be wild

[@animations_ag]

And thank you for watching! Your comment is much appreciated.

[@Potassium127]

In which class or standard will we study this ,?

[@betabeast12]

@@Potassium127 bhai if you are looking specifically for stuff like this, then the internet is your friend. Otherwise 11th geometry.

[@Potassium127]

@@betabeast12 Thank You so much ! After my tenth exams I am going in eleventh class this year

[@Telawin]

this looks like the kind of thing that you either need four years of physics classes to understand... or a pound of cocaine all joking aside this was really cool to learn and very well visualized

[@kooltyme]

@Miestrode this is basic math, it's not hard to make a visualization like this

[@kooltyme]

@Miestrode "woah cool music and visualization, this is so epic useful and smart!"

[@erikottema2620]

@@kooltyme nobody likes cynical people

[@anmolmehrotra923]

U don't need 4 years of physics just learn about refraction and total internal reflection and you'll be able to know easily what's Happening. Ofcourse if you got fascinated by those topics u can get into a 4 year degree program 👌👍😉

[@enriquesuarez7113]

physics? this is pure mathematics. And its not complicated, fascinating for sure tho

[@The4stro]

you managed to explain a quite complicated complex with less then a sentence's worth of words and some beatiful imagery

[@foxxbaker]

I-I-I-I don’t know what I just watched but I am feeling emotions I’ve never felt before

[@NEEEEEJ]

I just wanted to watch a video, with someone having fun with an ellipse, then all of a sudden I'm questioning my own existence, and wondering if I live in parallel universe.

[@aidanchalnick]

my love for psychedelics and math has never been so beautifully united

[@axolotl0424]

You should look up fractal visualizers then

[@sophiacristina]

Psychedelics literally made me have a bigger passion for math...

[@garrettspires4481]

Mind blowing how a huge collection of small things making such simple movements can create such a spectacle. Really summarizes life.

[@somethingrandomidontknow7945]

1:34 Nobody: Every Spy Movie When They Use Powder On The Heighs

[@somethingrandomidontknow7945]

Heist*

[@notkatsuro]

NGL KZbin algorithm finally was smart enough and showed something cool. I don't even understand it but it's cool

[@yakeru3356]

i think i am feeling a kind of emotion that doesnt exist

[@Fennaixelphox]

This music makes me feel ponnish

[@innerecho9468]

@@Fennaixelphox yeahhh

[@official-obama]

@@Fennaixelphox thalasin+ moment

[@ahnte]

This is probably the greatest video I’ve ever seen and I can’t explain why.

[@vincentpollack]

Most underrated channel ever. I love watching these

[@animations_ag]

Thank you for your kind words!

[@vincentpollack]

@@animations_ag

[@P1ckledPea]

The music compliments this so well

[@DiamondSG]

The music makes me feel like I am being reflected forever off of the interior of an ellipse and outside of the focal points. Just sayin. I cant get out

[@esfo2824]

Yes exactly

[@fabiovezzari2895]

Mesmerizing

[@spidzsaus]

The music simply makes me want to hang myself. An interesting feeling, yet I don't feel that it fits the mathematical beauty of the video

[@ahmedrami8519]

im here for you diamond if you need me

[@ahmedrami8519]

@@spidzsaus Im here for you please respond

[@Ififitzisitz]

This was probably one of the coolest videos I’ve ever saw on KZbin. If I could like twice, I would! Thanks so much!

[@thescholarofAK]

“What kind of satisfying videos do you watch? Magnet balls? Soap shaving?” *E l l i p s e.*

[@TwN-vv4mi]

This is a very strange corner of the internet. I don't know how this was recommended to me, but this feels very eerie.

[@orbismworldbuilding8428]

Welcome home :)

[@terriblecompany1588]

Yeah, this is a math moment.

[@undeathbysnipe2986]

Only 11k have witnessed this beauty? Have fun dealing with the new notifications

[@inactiveytchannel]

ikr

[@duccline]

thats more than doubled in a day 😳

[@duccline]

ok its quadrupled

[@Lussimio]

@@duccline Almost 8 doubled 😲

[@duccline]

@@Lussimio yeah this video is begginning to pop off

[@mandiec3149]

i don't even come here that much for the learning. It's for the music and satisfying simulation.

[@zekeweaver145]

This made me feel nostalgic, kind of sad-ish, and comforted.

[@MachinimaGameguy]

This music gave me existential dread I love it

[@diggoran]

I thought I was climbing Ganondorf’s tower

[@willjohnson2821]

It’s stella by starlight

[@Israbelle]

i love this song sm!! it almost sounds like the lines are making the noise at some points and it’s so melancholy

[@nicholidossantos9396]

It's sad?

[@pikachu-jf2oh]

@@nicholidossantos9396 no

[@imperialofficer6185]

photosynthesis

[@xtc_w]

I'm not sure that's the correct use of melancholy

[@Mystixor]

I feel some kind of melancholy to this as well. It's a beautiful piece

[@picosoft2033]

To be HONEST one of the best simulations I have ever seen. Nice work buddy😉

[@NonTwinBrothers]

The music for this video is literally the theme song of this genre of animations

[@sparememes4001]

Ok, so i was here on less than a 1000 views, so.. I'll be veteran of randomly reccomend videos commentators team, *yay*

[@colecube8251]

lets go! return to this comment in a year and it'll be so og on the 15 mil view video

[@elantris-2002]

For me, it's 2.406 it grows...

[@iamise]

@@elantris-2002 2464 for me it grows still...

[@ocircles738]

Here at 6475 v

[@kaasman]

7,4 K for me

[@stevetang6679]

What a trilling combination of visual and audio experience

[@EthanJamesBray]

came for the simulation, stayed for the music (and simulation)

[@StarGarnet03]

The changing path of the rays in the last bit remind me of the logistics map. Highly chaotic behaviour with small windows of stability.

[@benjaminhackett8896]

Even for someone who already knows how an ellipse and its focii work, this is a superb illustration. Especially for demonstrating reflections that *don't* go through the focii.

[@elliotg8403]

This music is designed to make you feel disturbed and on edge as a human

[@pinktigerstripes2824]

still so beautiful. adore the music

[@d.3977]

Love these videos. Really theraputic

[@dylandrin]

note to self: watch this at 3am every night.

[@animations_ag]

Update 2021-07-24: "One million views" celebration: kzbin.info/www/bejne/rKKaoqJta9R3mZI Music: Stella by Starlight, Victor Young (originates from the 40's). Reproduced by @gpcbass. Full version of the song: kzbin.info/www/bejne/n5Lbh2mifJuop8k Vocal version of the song: kzbin.info/www/bejne/hZfMnHpves9pi5Y Old deprioritized visuals: kzbin.info/www/bejne/imG6ZGyKprKtmtU

[@roblox-fr7ei]

among us

[@Nosikas]

Sus

[@thefirdsouls5724]

Thanks

[@conch5528]

can u post the link to a youtube video if their is one?

[@rolandchristensen5889]

ty

[@amazingfireboy1848]

This is a spooky video. I love the music, though! Nice work, GpcBass.

[@nizwiz._.5906]

This video totally belongs in 480p. It just elevates the experience so much more.

[@No-ok1rj]

Ive no clue as to what ive just witnessed but it was damn beautiful.

[@wholesomehoorpari2675]

Love how everything despite seeming so random at first emerges as a patter.Gives me hope that one day we might be able to find the exact location of an electron.

[@abadjoke6169]

we... can't, heisenberg...

[@kanishkjaiswal7260]

*angry heisenberg noises*

[@thehat4970]

Elegant animation and the viziual realtions the lines creates with other mathematical functions.

[@flake6473]

this makes me feel like i’m discovering the universe

[@zahirbiban9149]

1:19 THAT LOOKS SO COOL

[@patchyworx]

It's 1 am and i should be sleeping, instead im watching this, i understand nothing. *hmm yes ellipse*

[@smuglife64gaming21]

Yes

[@HIBA_DA_LOLICON]

same

[@kimgarrison5322]

2:19 "but let's go back to 1492." - history teacher

[@StompDeni42]

I haven't seen such an interesting video for a very long time.

[@cyrusmajd7073]

Personally, this shed a lot of light on why the equations for ellipses and hyperbolas are so similar. They're like two sides of the same coin. This is a great simulation! Thanks for sharing!

[@wbmj1105]

I took a nap after watching this and started dreaming but then I started dreaming inside of the dream and felt like I was stuck in an alternate reality for days

[@andrewescu]

I've watched this a good 5 times, very beautifully done thank you.

[@lightish3754]

this is beautiful and harrowing at the same time

[@donmutanda]

This is mind blowing yet so satisfying.

[@justaguywhokilldiavoloforf2804]

It took me 18 minutes to animate a JavaFX code which draws a circle, turns 1° and repeats it until 360° has completed.

[@Currrby]

that was gorgeous

[@Ok-yk9mp]

This is confusing and satisfying at the same time

[@yxshmusic]

This one video was more enjoyable and informative at the same time than the entire time I spent in class studying the conic section

[@rysea9855]

Why does the music sound like I'm having a nightmare and I can't wake up but there is someone next to my irl body

[@DiamondSG]

Nice to know i'm not the only one getting my fight/flight reaponses activated

[@reedwilliams1868]

How? the song sounds so good.

[@DiamondSG]

@@reedwilliams1868 i like it but it's spooky, I guess. Maybe it doesn't help that it's 2 am where I am.

[@topiliski1497]

It sounds like some familiar jazz standard. Just can't put my finger on it.

[@imarkvi284]

this video makes me feel an emotion tha doesn't exist

[@pentabean11]

Bruh I think the music's soul is ascending. Also I cant describe the emotions I'm having

[@joshkent9625]

PLEASE if anyone can find the song get back to me about it, ive been looking for it for a while and haven't gotten even close yet.

[@nicolasribeiro7914]

i want it too ;--;

[@gpcbass]

Hi! This is Stella by Starlight, a jazz standard. This version is an unfinished odd version, specially made for Alex' billiard video. I'll maybe do a full version later ;-) /Dennie G

[@joshkent9625]

@@gpcbass LOL thanks so much, I think I’ve watched every single video on your channel trying to find it. That would be awesome if a full release made its way onto KZbin!

[@nicolasribeiro7914]

@@gpcbass Oooh, amazing! Might as well check out your channel!

[@archiebaldry]

@@gpcbass pls

[@sergeantwrath5497]

This video is 2:40, but the music makes it feel like 40 minutes. (That’s not a bad thing, I really love this type of music)

[@soisaus564]

Tell me what the audio is

[@VittRomani]

The intelligent design is so clear watching the perfection of geometry.

[@ChraO_o]

This kind of explains the dimension's shape quite a bit. For some reason all 3d points are focused into one then releasing it, if the dimension's shape is the focal point of an eclipse.

[@connor_bell]

1:27 right here I was like "holy shit no way they're gonna - WOAAAAAAAHHHH"

[@Mikelica69]

This. Is. Fucking. Awesome. Thank you.

[@user-jm1gv8dx2d]

This is beautiful!

[@SynthyCS]

1:57 When you rub your eyes too hard

[@khaledjacobo476]

0:56 every single speedy anime character vs villian be like:

[@fullpace7575]

This was really fun to watch!

[@MapSpawn]

This is like one of the best videos I've ever seen.

[@kazumakiryu77]

I don't know what's going on, but I love it

[@danechegoyen3550]

Excellent , perfect. Thank you!

[@frostcore2214]

So mesmerizing. It’s like a dance almost

[@johanf1097]

Beautiful!

[@MoonFlux]

Just waiting for this to suddenly blow up for no reason.