Straight Lines in Curved Space explained and visualized. Useful for the four dimensional space-time of Einstein’s General Relativity. My Patreon page is at / eugenek
Пікірлер: 966
@EugeneKhutoryansky4 жыл бұрын
To see subtitles in other languages: Click on the gear symbol under the video, then click on "subtitles." Then select the language (You may need to scroll up and down to see all the languages available). --To change subtitle appearance: Scroll to the top of the language selection window and click "options." In the options window you can, for example, choose a different font color and background color, and set the "background opacity" to 100% to help make the subtitles more readable. --To turn the subtitles "on" or "off" altogether: Click the "CC" button under the video. --If you believe that the translation in the subtitles can be improved, please send me an email.
@youssefbenmMorocco3 жыл бұрын
I hate the music with explanations in all your videos It is distrubing me making me nervous The musuc is loud and pass over the voice of speaker Excuse me but it is realy sh*t your videos are for sciences not videogames Do you want to send any subliminal's message with this music?!
@halasimov13623 жыл бұрын
But does the little car have to be a dymaxion?
@user-bf6jx7hq4z3 жыл бұрын
Αεί Θεός Γεωμετρεί - Πλάτων
@nemo28034 жыл бұрын
6:20 cheerful music plays as innocent geodesics spiral towards their doom
@shponglechunch4 жыл бұрын
Never to be heard from again!!
@user-vi3pi9rf7w4 жыл бұрын
I really got goosebumps
@BedivereD4 жыл бұрын
That reminded me to the End of Evangelion 👏
@gabrialtome44784 жыл бұрын
A Geodeasid Me: Don’t do it Geodesic: I will do it it’s out there in the center? Die: because this is a 2d black hole
@ishworshrestha35594 жыл бұрын
Hmm
@juanfelipezapataarenas37794 жыл бұрын
I'm a physics student and I think you're doing an amazing job. This channel encourages me to learn animation and use them to explain physics just like you. Thank you!
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@imdone82434 жыл бұрын
Learn blender. Free 3d modeling, animation and etc software. It's amazing
@dingdong4754 жыл бұрын
What programs would be good for learning how to animate?
@imdone82434 жыл бұрын
@@dingdong475 blender it's free. I repeat myself
@dingdong4754 жыл бұрын
@@imdone8243 yes but i thought maybe something new may have come up since you last posted.
@wangkevin34314 жыл бұрын
1:04 me when i see Eugene posted a new video
@cancel19134 жыл бұрын
Same happens to me! LOL
@ashwinjain55664 жыл бұрын
lmaooo
@DecemberGalaxy04 жыл бұрын
uhhh that umm ok...next comment
@no_name25744 жыл бұрын
Lol, true
@pronounjow4 жыл бұрын
#ohgodwhy
@T33K3SS3LCH3N4 жыл бұрын
The best geodesic explanation I've seen is with paper strips. Orient the strip so that neither side folds or leaves the surface - then you have a geodesic. Putting a straight line around a cone won't work, the side of the strip towards the narrower cone end will not make contact with its surface. It's effectively the same idea as the car wheels, but easier to simulate hands-on!
@thanosAIAS4 жыл бұрын
The car analogy attached on the surface gave it away for me! The wheels rotating with the same speed, cover different distances due to the curvature of the surface and thus the car turns accordingly but always moving fwd thus covering the least distance!
@kconway964 жыл бұрын
thanosAIAS I read a book that introduced this topic with an analogy of ants on an apple, but the car with the wheels worked better for me too
@waharadome3 жыл бұрын
@@wilcovdberg In geodesics the speed of a car doesn't matter, it's just drawing lines over a surface.
@waharadome3 жыл бұрын
@@wilcovdberg You are right however that if you model gravity as a 'pit' in a surface, less velocity in a direction that escapes it will cause an object to fall earlier
@Invictus_Mithra4 жыл бұрын
Me after watching this video: what is straight????
@PhillipAmthor4 жыл бұрын
Great now youre gay because of mathemathics
@tasertag75134 жыл бұрын
Now all straight lines will rotate infinitely.
@thstroyur4 жыл бұрын
"Straight" is an _ad hoc_ qualification that you have to specify when doing differential geometry; e.g., if you're doing the ordinary Euclidian geometry, two "straight" lines are "parallel" if they conform to Euclid's fifth postulate, and vice-versa...
@user-vi3pi9rf7w4 жыл бұрын
@@PhillipAmthor Nah you may look gay but you are actually straight. This is what geodesics tell u, BRIGHTSIDE.
@ishworshrestha35594 жыл бұрын
Yui
@-_Nuke_-4 жыл бұрын
9:29 Newton was the genius that explained why things fall And Einstein the genius that explained why they don't!
@feynstein10044 жыл бұрын
You sir, have won the internet
@rokus11454 жыл бұрын
@@feynstein1004 I'll take overly used statements for 200$
@canyadigit62744 жыл бұрын
NUKE things still do fall, the REASON why is different
@yushothu2014 жыл бұрын
@@-_Nuke_- I hope you didn't type all that out...
@-_Nuke_-4 жыл бұрын
@@canyadigit6274 Motion is relative... From the perspective of the fallen object, the entire Earth is rushing up and hitting it and from the perspective of the Earth, the falling object is moving towards the ground and hitting the Earth... No reference frame is more true; than the other. Let me ask you this: Say you are inside a rotating room (an empty room with no windows or doors that just rotates around its central axes) Now inside that room you find a tennis ball. You pick it up and you throw it to the opposite wall, what would happen? Will the tennis ball go straight and hit the wall in front of you (since you threw it straight) or will it take a 90 degrees curved path to the right and hit the wall to your right? (or left depending on how the room is turning...) The answer is the latter. The tennis ball will take a curved trajectory and it will not go straight. And you might ask: "why does the tennis ball go to the right when I'm throwing it straight?" That's of course a bad question, because the tennis ball IS NOT actually taking a curved path, its YOU inside the room that is, that see the tennis ball take that curved path! The tennis ball was always going straight, it's only your own motion that made it look like it was curving. Like here: kzfaq.info/get/bejne/mLCPpsiJ1JOpnpc.html Now imagine the same idea but with "gravity" and in 4 intrinsically curved dimensions of spacetime and that motion that you have (the one that is equivalent with the motion of the room spinning) is in TIME and not in space! Imagine all of that and you have Einstein's picture of "gravity" and you also have the answer to why Einstein considered this his greatest thought: "A man in freefall will not feel his own weight" No, objects in free fall are not falling, they are not moving in space because there are no forces acting on them at all. The reason why we *see* them fall, is because we exist inside a curved spacetime but we "don't know it", our senses "don't know it" and they in fact interpret our curved minkowski spacetime as a non curved euclidean spacetime. The only way for a human to see reality as it really is, is to go somewhere, where spacetime isn't curved. And we have such a place, it's called "outer space" away from any Star or other Planet sized massive object. There spacetime has a very low curvature, and there, when you let something fall you can clearly see that is not moving in space. Here on Earth is still not moving in space, but our senses by interpreting this world as an euclidean one, (and not as a mikowsky curved one as they should) see the object fall when in fact it's not falling. kzfaq.info/get/bejne/h9-VeZCQtra3kp8.html :)
@HundredMillionViews4 жыл бұрын
We will never forget you, brown geodesic spiraling to -infinity 😭
@darkseid8564 жыл бұрын
Change your perspective and you will see it tending to positive infinity ;)
@pointlesslylukesplainingpo12003 жыл бұрын
@@darkseid856 U are mr gay
@zecuse3 жыл бұрын
Was that suppose to be a metaphor for...
@hieudang17892 жыл бұрын
@@pointlesslylukesplainingpo1200 super mario galaxy?
@maunil1084 жыл бұрын
So nice . Please keep making these videos.
@EugeneKhutoryansky4 жыл бұрын
More videos are on their way. Thanks.
@cuamanhong27194 жыл бұрын
I still like this even though I don't understand a single thing.
@mkilptrick4 жыл бұрын
Cua Manh Dong....Yep. Same here. Probably have to watch it a few times.
@fearplanet70764 жыл бұрын
@Mondo Duke it's hard when u don't know english and there's not subs in your lenguage ;P
@ASOUE4 жыл бұрын
Must be a smart 6 year old. Let’s try and not shame people for learning at different speeds, or having a less comprehensive background
@weskerrongkaima11734 жыл бұрын
@@ASOUE you are the man
@Billente3 жыл бұрын
@Maselek wha?
@EugeneKhutoryansky4 жыл бұрын
You can help translate this video by adding subtitles in other languages. To add a translation, click on the following link: kzfaq.info_video?ref=share&v=NfqrCdAjiks You will then be able to add translations for all the subtitles. You will also be able to provide a translation for the title of the video. Please remember to hit the submit buttons for both the title and for the subtitles, as they are submitted separately. Details about adding translations is available at support.google.com/youtube/answer/6054623?hl=en Thanks.
@buddingscientist1704 жыл бұрын
Nice
@khushboo18504 жыл бұрын
Tell us more about phasor diagram.
@mustaphaouchen1354 жыл бұрын
I can make arbic subtitles , just need time to do it
@ShuAbLe4 жыл бұрын
Thank you for the great vídeos!
@Cobra3654 жыл бұрын
Amazing presentation. The accuracy of the graphics and narration kinda split at the end, which is understandable 😇 it’s also easier to learn when our minds start to fill in the blanks.
@kathleennorton61084 жыл бұрын
Interesting learning style, repeating things twice, not too quickly, and in the exact same way. Is there a name for that?
@clearz36004 жыл бұрын
Also known as the deja-vu method. I agree it draws you in.
@randomdude91354 жыл бұрын
@@clearz3600 😂
@numspacsym4 жыл бұрын
Interesting learning style, repeating things twice, not too quickly, and in the exact same way. Is there a name for that?
@kathleennorton61084 жыл бұрын
@@numspacsym ha ha
@byronvega82984 жыл бұрын
@@sciencemathematics I found that very funny 😂
@shubhambhargava39474 жыл бұрын
I love this channel ❤️ !!! Finally we get something after a long time !! The presentation and animation is beautiful.
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliment.
@EffySalcedo4 жыл бұрын
Ikr
@dustinsmith83414 жыл бұрын
"Special considerations must be taken when applying this concept to the higher fourth dimensional space-time of general relativity and this will discussed later in the video" *is only a 10 minute video* It's gonna be a good one.
@kidzbop38isstraightfire923 жыл бұрын
6:50 "The geodesics that are swallowed continue to spiral downwards" that's only if there is no bottom to that hole. If there's a bottom at any point, the geodesics will return. So, if we ever see light emerge from a black hole, could we use that to calculate the spacetime structure?
@igorjosue89573 жыл бұрын
Or the lines can be in other plane he dont show, parallel line... universes
@hobbyhobbyhobbyhobby3 жыл бұрын
Something similar to this could be a pulsar which is an object that collapses but doesn't have enough mass to create a black hole, spitting it's matter out in polarized jets and spinning hundreds of times a second, but are 20km across and almost the density of a black hole. Check out the NASA mission IXPE cause we'll get some insane data we've never gotten to explore before when it launches in about a year.
@EnderSpy3583 жыл бұрын
@@hobbyhobbyhobbyhobby haha neutron star go brrrr
@filename16743 жыл бұрын
But scientist says the information that gets into blackhole will be destroyed, so if you fire a beam light in to a blackhole maybe when it exits the blackhole it will be in another form or something...Idk
@hlaakaplee3 жыл бұрын
FILE NAME Scientists say that information potentially gets observationally copied/xeroxed, rather than actually destroyed.
@yamansanghavi4 жыл бұрын
Wow. Just wow. This was something I always wanted to visualize. Thank you so much. I love all of your videos.
@EugeneKhutoryansky4 жыл бұрын
Thanks. I am glad you enjoy my videos.
@welchsgrape6964 жыл бұрын
thank you kira and eugene, i love this material and I love the music and animations. I hope you still make videos for years to come
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@vpsspace3 жыл бұрын
You are doing an amazing job @Eugene! Thanks for making these wonderful videos!
@wizard13704 жыл бұрын
Mind-blowing, I also love your background music as well.
@VishalSharma-ws3jx4 жыл бұрын
me *having an exam on kinematics* also me *writing about geodesics in that exam*
@cameronspalding97924 жыл бұрын
Finding a geodesic is equivalent to finding a path where the potential is zero
@darkseid8564 жыл бұрын
@@cameronspalding9792 but if it's a *path* then shouldn't it be POTENTIAL DIFFERENCE ? Or am I wrong somewhere ?
@cameronspalding97924 жыл бұрын
The Dark Knight when the potential is zero: the only force present is the force normal to the surface: this doesn’t affect the Kinetic Energy hence the Kinetic energy remains constant: hence the speed remains constant
@ishworshrestha35594 жыл бұрын
@ ol
@MrWnw4 жыл бұрын
8:21 The car's Vehicle registration plate! :DD
@xxphoenixx83984 жыл бұрын
This channel is really great! The explanation is really dynamic with the use of animation and calm explanation....Thank you for the good work and effort!
@EugeneKhutoryansky4 жыл бұрын
Thanks. Glad you liked my video.
@pedrocarvalho64234 жыл бұрын
Amazing, very beautiful! Thanks for another great video, Eugene and Kira!
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliment.
@EffySalcedo4 жыл бұрын
I 💖 this channel. The presentation is so effortless 🌸
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@IanFarias004 жыл бұрын
As a geometer I'm totally biased towards differential geometry, but I still have to say this was your best video ^^
@ozzymandius6664 жыл бұрын
Your videos are fantastic. The visuals, the narration, the music. True works of educational art by masters of their craft. Well worth waiting for. Thank you.
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliments about my videos.
@ozzymandius6664 жыл бұрын
@@EugeneKhutoryansky You've earned it.
@tseckwr37834 жыл бұрын
Absolutely amazing. Thanks for your hard work on this channel!!
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@TheAdithya19914 жыл бұрын
How do you create these animations? They are simply stunning. Imagine if we had these showing in every school, and if all physics was taught in this way. You are creating something powerful, hats off to your efforts!
@EugeneKhutoryansky4 жыл бұрын
I make my 3D animations with "Poser." Though, I had to write my own algorithm for calculating the paths of the Geodesics. Thanks.
@wurttmapper22004 жыл бұрын
Last time I was this early people thought time was absolute! I love the title of this video, it shows you don't only appreciate math as a tool but also as something that can be aesthetic and fascinating
@niranjansrinivasan40424 жыл бұрын
You are doing a great job in explaining the physical meaning of concepts in physics Thank you so much for it !
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@hinkles733 жыл бұрын
9:00: The tea level of my teapot after I spill the tea in astonishment after hearing the beautiful music in one of your videos...
@YYHoe4 жыл бұрын
6:20 That's how a black hole "sucks" in light.
@PotatoGodzilla4 жыл бұрын
*It's 3 p.m.* KZfaq Recommended: *IT'S A GEODESIC!*
@xehP3 жыл бұрын
3pm or am?
@greedo32323 жыл бұрын
It's 3am for me
@Kuribohdudalala4 жыл бұрын
Helped make sense of my differential geometry tutorial, thanks!
@kevinhebertpero53424 жыл бұрын
Great work Eugene! Thank youso much! Keep it up!
@EugeneKhutoryansky4 жыл бұрын
Glad you liked my video. Thanks.
@brettzolstick9894 жыл бұрын
6:17 can we get an F for those fallen geodesics
@danielsayre33853 жыл бұрын
Pouring one out for the boys, the fallen geodesics
@ziggyzoggin3 жыл бұрын
ha, you thought i was gonna reply with "F"? well i like to make people wrong. heh. F
@adamseekermurtid56584 жыл бұрын
Welcome back!!!
@user-ic7ik4ee9w4 жыл бұрын
Your channel is SO AWESOME.
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@cancel19134 жыл бұрын
Eugene thank you for another wonderful and informative vid. Boy how I wish you were around with these vids back when I was in high school!
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@theultimatereductionist75924 жыл бұрын
I've tried for months to compute the geodesics on a general ellipsoide (x/a)^2 + (y/b)^2 + (z/c)^2 =1 with a b c all different between 2 arbitrary generic points. Your animation shows the geodesic to wrap multiple times around. I had not considered that.
@BrazilianImperialist2 жыл бұрын
Nerd
@jordivilaioliveras4 жыл бұрын
Certainly you have the rare gift to help visualize some of the most complex theories of modern physics in an easy way. Thanks Eugene, thanks Kira.
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliment.
@jasonsoto52733 жыл бұрын
This video really made the concept click. Thank you!
@EugeneKhutoryansky3 жыл бұрын
Thanks.
@prakharpandey23924 жыл бұрын
Wow. Just wow. I had a hard time understanding this way of thinking. Now I do. Thank you.
@EugeneKhutoryansky4 жыл бұрын
Glad my video was helpful. Thanks.
@Triszious4 жыл бұрын
"Gravitational Time Dilation casues Gravitational Attraction." Is it one causes the other, or is there some sort of duality?
@Mr.Not_Sure4 жыл бұрын
Former is a fundamental fact. Latter is its consequence, and basically an "illusion".
@Cosmalano4 жыл бұрын
Gravitational time dilation tells you that distant frames in a gravitational field will begin to appear to move relative to you (they will accelerate relative to you) because rather than moving entirely in the time direction through spacetime, they will lose some of their 4-velocity in the time direction, relative to you, and transfer that 4-velocity to a spatial direction, this all appearing to you as a gravitational force pulling these object through space, and slowing them down in time.
@pukkandan4 жыл бұрын
Since both happen simultaneously, it is not entirely accurate to say that one causes the other. It might be more accurate to say that gravitational attraction CAN be explained using time dilation. It may be possible to do the reverse, but we do not know of any such way. So in the models that we have built, it appears that time dilation is more fundamental. But, there might be other viable theories (which we don't know of) that could explain time dilation as a consequence of gravity. Or maybe, both are emergent from something else entirely.
@darkseid8564 жыл бұрын
@@Mr.Not_Sure so it means time dilation is an effect ? Sorry but I didn't really understand your comment ....
@Mr.Not_Sure4 жыл бұрын
@@darkseid856 Watch this short video as a first step: kzfaq.info/get/bejne/ncmmpJR1prORdHk.html
@frostcrackle23744 жыл бұрын
i've convinced myself that i must be gay because i don't know what's straight and what's not anymore
@suffermore15763 жыл бұрын
lmaoooo
@constpegasus4 жыл бұрын
Thank you for these videos Eugene.☺👍
@EugeneKhutoryansky4 жыл бұрын
Thanks. I am glad you like my videos.
@rektralph67783 жыл бұрын
I find this absolutely fascinating.
@et79924 жыл бұрын
"Vegan for Animals"
@shirshak67384 жыл бұрын
beauty of ethics and morality
@imgayasheck5954 жыл бұрын
Go vegan
@wizard13704 жыл бұрын
😂😂😂😂😂
@marshmelows4 жыл бұрын
"Meat-eater for Plants"
@matisle1194 жыл бұрын
Haha didnt see that, nice 😂😂👍
@tooljockey27774 жыл бұрын
vegan for animals is on the license plate of the car lol 8:19
@duytdl4 жыл бұрын
Great explanation as always. Keep up the good work!
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@malekmannai94454 жыл бұрын
You always had the best explanatory videos ❤️
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliment.
@Bankoru4 жыл бұрын
This town is a part of us all. A part of us all. A part of us all!
@dingdong4754 жыл бұрын
Stranger things?
@Seifer7204 жыл бұрын
*why am I into this stuff-*
@AJ-et3vf2 жыл бұрын
Awesome video! Thank you!
@EugeneKhutoryansky2 жыл бұрын
I am glad you liked my video. Thanks.
@gauravjoshi67254 жыл бұрын
Wow! Beautiful work
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliment.
@gustavo21134 жыл бұрын
Eugene Khutoryansky, we want to know more about you. Please give some information about where you seek your knowledge! Are you a professor? Do you own a degree? What do you do for a living? Very curious fan here just wondering
@wangkevin34314 жыл бұрын
I think he got his masters/PhD in the 80s
@shirshak67384 жыл бұрын
he is professor from Texas. The narrator is Kira. He is inspiration.
@EugeneKhutoryansky4 жыл бұрын
Shirshak, actually I am not a professor. But I do live in Houston, Texas. And yes, Kira is the Narrator.
@EugeneKhutoryansky4 жыл бұрын
Wang Kevin, I am not that old. I was born in 1975.
@EugeneKhutoryansky4 жыл бұрын
Gustovo, I would prefer not to go into personal details about myself on my KZfaq channel, at least not yet. Though, it is not much of a secret, if you Google my name...
@RedFox-dj7di4 жыл бұрын
6:16 I think that sheet can imagined as a distortion in Space created by black hole and that lines as a light And I think this explain why light cannot escape from black hole but some of them can escape after spinning around it ?? *IDK I am right or wrong ?*
@gaelfortier26684 жыл бұрын
I though the same thing
@imdone82434 жыл бұрын
Eh sure. Also as Earth and etc..
@abdullahx81184 жыл бұрын
We have hope of survival just be green
@imdone82434 жыл бұрын
@@abdullahx8118 eww no. I wanna be blue
@danielsayre33853 жыл бұрын
Imagine if you had to observe physics from a two dimensional plane. I feel like that's what's going on with black holes from our dimensional perspective. There's a direction we just don't understand 🤷♂️
@abhishekshah114 жыл бұрын
Einstein would feel proud watching this production. Great music. Great content.
@Lucky102794 жыл бұрын
Your videos are so calming. The music fits perfectly with the amazing animations. And your voice is also calming. You'd think that would make the videos less interesting, but it really doesn't. It makes them a good way to get in a good mood while learning about math and physics.
@Thor_the_Doge3 жыл бұрын
Noone: My KZfaq reccomendations: wanna learn some physics?
@jorgevazquez26353 жыл бұрын
Well, of course I do.
@eduadelarosa4 жыл бұрын
The beauty of “vegan for animals”. lol
@official-obama3 жыл бұрын
Car’s license plate on the back.
@carolinafortuna68114 жыл бұрын
This is amazing thank you eugene
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@paulschrum47273 ай бұрын
This video helped me adjust my understanding of geodesics. Without saying what I had wrong, I had them wrong. Thank you.
@EugeneKhutoryansky3 ай бұрын
I am glad my video was helpful. Thanks.
@Maisonier4 жыл бұрын
I'd love to know how this applies to lenses and photons
@zh96643 жыл бұрын
Watch code parades videos on it, its astounding
@railizrail18033 жыл бұрын
I actually misread the title as "the beauty of genocides"
@DiamondTurtleGamer3 жыл бұрын
*turkey and Armenia would like to know your location*
@halasimov13623 жыл бұрын
Wait is this KZfaq or Bitchute?
@admiralhyperspace00153 жыл бұрын
Me too 🤣
@ANDROIDPOSTMORTEM3 жыл бұрын
😂🤣
@thedoublehelix56613 жыл бұрын
o.O
@flurng4 жыл бұрын
Another FANTASTIC video! What blows my mind is the animation starting at 3:45 - by the end, all the geodesics looks remarkably like the valence electron shell of an atom! Co-incidence?......
@odyseuszkoskiniotis62664 жыл бұрын
Very informative video. I think I learned so much, I don't even remember what this video taught.
@michaeljordan44574 жыл бұрын
Black holes described around 7 minutes, without realizing it
@kyratkumgern75654 жыл бұрын
also we can escape black holes lol
@BrandonCuringtonOfficial4 жыл бұрын
6:17 this actually reminds me of Junji Ito’s Uzumaki manga. The whole plot of the manga revolves around this concept, especially around the ending.
@ninetailedbrat4 жыл бұрын
I dont get it
@pratibhamaurya92802 жыл бұрын
Amazing animation I have no words to appreciate uh Thanks for the video
@EugeneKhutoryansky2 жыл бұрын
Thanks for the compliments.
@DecemberGalaxy04 жыл бұрын
great man you give me the vibes !
@greenpeppermint75184 жыл бұрын
0:37 Oh yes it is only deflected by a small amount I totally don’t see two angles opposite of each other Ps 5:54 The reason why they end up converging and diverging because one is positively curve and one is negatively curved.
@juanitocobrarex55274 жыл бұрын
imagine the geodesics on a klein bottle
@mixolydian20104 жыл бұрын
Wonderful beautiful graphics.
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliment.
@mixolydian20104 жыл бұрын
@@EugeneKhutoryansky love what you do really makes it easier for me get a perspective, as I am more of a visual thinker. Cheers
@jemadamson2715 Жыл бұрын
Thanks for your work!
@EugeneKhutoryansky Жыл бұрын
Thanks.
@ChannelKucing2943 жыл бұрын
Saya meow... . 22/10/20..
@na9213 жыл бұрын
Hi meow
@hey....3 жыл бұрын
phew, thought it read “Beauty of Genocides”. i’m gonna go now.
@Hyperlooper3 жыл бұрын
You clicked on it though
@aniruddhachakrabortyindia3 жыл бұрын
I loved how the car number plate contained a powerful message!!
@Metubetangy4 жыл бұрын
Beautifully displayed.....
@EugeneKhutoryansky4 жыл бұрын
Thanks for the compliment.
@quahntasy4 жыл бұрын
*"Vegan for animals"*
@rheamer34374 жыл бұрын
thank you so much for the video! really really appreciate it
@EugeneKhutoryansky4 жыл бұрын
Thanks. Glad you liked my video.
@maheshghorsaine69194 жыл бұрын
Great eugene, thanks .
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@plaustrarius4 жыл бұрын
Very happy I subscribed!
@EugeneKhutoryansky4 жыл бұрын
I am happy you subscribed too.
@jcfos62943 жыл бұрын
Incredible! Wonderful!
@EugeneKhutoryansky3 жыл бұрын
Thanks.
@DXDragon388 ай бұрын
Thank you, this explained it rather well!
@EugeneKhutoryansky8 ай бұрын
Thanks. I am glad you liked my explanation.
@kofinkrumah64994 жыл бұрын
I really love these videos.
@EugeneKhutoryansky4 жыл бұрын
Glad to hear that. Thanks.
@mahxylim79832 жыл бұрын
Best intro for geodesics ever! Eliminating our misconceptions before they arise!
@EugeneKhutoryansky2 жыл бұрын
Thanks for the compliment about my video.
@jonathanborrelli27493 жыл бұрын
Very good explanation, thanks you
@EugeneKhutoryansky3 жыл бұрын
Thanks.
@cript32324 жыл бұрын
Another great vid.
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@PawlTV2 жыл бұрын
9:10 I REALLY wish I would've known this before. Thank you!
@realcygnus4 жыл бұрын
really great stuff as always
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@viniciusfernandes23032 жыл бұрын
Thanks for the video!
@EugeneKhutoryansky2 жыл бұрын
Thanks.
@hausdorffm3 жыл бұрын
This vedeo is interesting. When we consider the notion of focal points, we alwarys use the sphere, but in this vedeo, we can see various focal points.
@alphalunamare4 жыл бұрын
Absolutely stunning and enjoyable :-)
@EugeneKhutoryansky4 жыл бұрын
Thanks. Glad you liked it.
@SorokinAU4 жыл бұрын
thank you for nice work!
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@sseymour19784 жыл бұрын
Very beautiful video. Very beautiful video. Very beautiful video.
@EugeneKhutoryansky4 жыл бұрын
Thanks.
@AfeMar12214 жыл бұрын
Which software used for 3d animation ? Please some one help me
@EugeneKhutoryansky4 жыл бұрын
I make my 3D animations with "Poser", but I had to write my own program to calculate the paths of the Geodesics.
@antoberg3 жыл бұрын
Never heard an english that clear and understandable, great job
@DevaKumar-ut7ug4 жыл бұрын
Nice video one of the best KZfaq channel for me
@EugeneKhutoryansky4 жыл бұрын
Thanks. I am glad you like my videos.
@DevaKumar-ut7ug4 жыл бұрын
@@EugeneKhutoryansky thanks ,yes I got a reply, it made my day 😊