People just can’t wrap their heads around this. I tried explaining this to someone and they told me to get out of their house because they didn’t know who I was. It’s pretty simple if they just watch the video
@@drewscampfire Will you though?🥺 Just saw was quite a gap in your uploads. Which is understandable however considering the beauty of your work, it really is great sir.
My dude Andrew, I first saw your 4d klein bottle video and instantly subscribed! You're really smart and good at what you do. Please keep creating and I can't wait to see what you come out with next!
Keep it up man!! You’ll only get better with time. Sorry I’m a little late to this video, had to move into college. Can’t wait for the next video. You deserve way more views with this amount of effort.
@@drewscampfireyou need to ramp up you video output and you make a ton of money on the side of you normal life. You are way better to show and tell Then most ppl on UA-cam, easy to understand and clear pic of what you are talking about. Sorry for the dyslexia hope you understand 😂😂😂👏🇩🇰😇
Perfect intro to topology. I've used this one to explain to my wife, why I'm so much time in the computer... Thank you! now she still doesn't understand me completely, but she as a sense of why I like math so much
I hope you're still out there somewhere. Your videos are incredible, and I've already shared a this one and the 4D Klein bottle video a couple times. In any event, I hope you're well. And thank you for these videos, they're incredible.
Dude your videos are incredible, psychedelic even.. The animation is over the top awesome and the music is perfect. You MUST, plz, make more of these 🙏🤘🙌
So in theory, we could have an object with a negative number of holes, giving it an Euler characteristic greater than 2!- I wonder what that would look like, if it’s even plausible to make. And what about fractions; how would objects appear with a fractional number of holes? Also btw, I loved your video and the neat knowledge it brought!
Spectacular. Incredible amount of work to create this video. It is really a piece of art. Can you share the explicit formula for the deformation of the mug into the torus? I want to recreate it in mathematica, maple,...
3:00 That assumes that infinitely subdividing makes a circle and not a really granular polyhedra, take for example a square with side length 1, and a circle inside with radius 1. If you fold the corners of the square such that they touch the circle it does not change the circumfrence of the square, and if you do so infinitely, you get a circle with r=1, and circumfrance of 4, meaning pi=4. Not, because infinitely subdividing a square does not make a circle. In a similar fashion, we cant say circles have a euler characteristic of 2 by that method. We can still arbitrarily decide that they do because it helps with our logic though as long as everything else is consistent.
That "handcuff" puzzle was neat, but could you maybe not keep changing the camera focus in the future? It makes it extremely hard to follow what's going on.
hi andrew, I have confussion with 1) homeomorphism 2) homomorphism 3) diffeomorphism, my questions regarding are can 1)two manifold be homomorphic as well as homeomorphic 2) two manifold be homomorphic as well as diffeomorphic 3)two manifold be diffeomorphic as well as homeomorphic .
amazing video, just one complaint, during the puzzle solution, the camera focus effect , the lowed music and the camera movement were very disctracting
i had 3 seperate thoughts while watching this video that i didnt want to think too long on and forgot them and they were super super interesting and i probably could've gotten accepted into harvard if i didn't forget 😭😭😭😭😭😭😭😭😭
I have an easy solution to the straw question at the start of the video, and that's defining what a hole is. Imagine a donut, and visually we can see the hole, but we can't just say "if it looks like a hole, it's a hole" because that causes the straw predicament. Imagine a point inside the center of the donut. Now, there is a 2d plane where the point is inside a circle, and it can't escape without using the third dimension. Now, imagine the plane moves perpendicular, so that it moves along the third dimension. We keep track of where it's moved by having the line leave a trail. Once the dot isn't contained inside the circle, we move on the other direction until we reach that same state. Now, the length of that line is how big the hole is, but what we care about is the fact it's all one line, thus meaning there's one hole. Now, if we did this to a straw, we'd reach the same conclusion. We need to stop caring about how far apart two openings are, and figure out if they're connected, because openings and holes aren't fully connected. Thus, a straw has one hole, never two.
People just can’t wrap their heads around this. I tried explaining this to someone and they told me to get out of their house because they didn’t know who I was. It’s pretty simple if they just watch the video
100% relatable
😂
Hi andrew, i recently bumped into your channel and i must say i wasn't disappointed. Keep em. coming
Thanks, will do!
@@drewscampfire Will you though?🥺 Just saw was quite a gap in your uploads. Which is understandable however considering the beauty of your work, it really is great sir.
@@drewscampfire I am also like him
@@c7hu1hu he lied he quit youtube
@@ITX635 how can u say that
My dude Andrew, I first saw your 4d klein bottle video and instantly subscribed! You're really smart and good at what you do. Please keep creating and I can't wait to see what you come out with next!
Keep it up man!! You’ll only get better with time. Sorry I’m a little late to this video, had to move into college. Can’t wait for the next video. You deserve way more views with this amount of effort.
Appreciate it!
@@drewscampfire yea try to post more
@@IAMASTICKSTUPIDPERSONwell it Cant be that long before there is a new video now 😂😁👏
@@drewscampfireyou need to ramp up you video output and you make a ton of money on the side of you normal life. You are way better to show and tell Then most ppl on UA-cam, easy to understand and clear pic of what you are talking about.
Sorry for the dyslexia hope you understand 😂😂😂👏🇩🇰😇
That handcuff puzzle was pretty cool. The 3D animation really helped with understanding. Great video!
These animations are amazing!
Mindblowing! Even if you figure out the answer, it is still so incredible to actually watch the deformation!
5:42 wow that gave me chills very intersting continue with your videos they deserves so much more views I wish you success
Perfect intro to topology. I've used this one to explain to my wife, why I'm so much time in the computer... Thank you! now she still doesn't understand me completely, but she as a sense of why I like math so much
These animations are Marvellous and Majestic on Mathematics branch Topology
hands down the most interesting video about coffee mugs and donuts ive watched
I hope you're still out there somewhere. Your videos are incredible, and I've already shared a this one and the 4D Klein bottle video a couple times.
In any event, I hope you're well. And thank you for these videos, they're incredible.
This is exactly like that one video where those two people turn a sphere inside out. You’ve earned my subscription.
More videos on topology for non mathematicians please. You did a great job of presenting concepts in a very understandable way.
I love how I got this into recommendations and I hate how I didn't know about this channel until today
It's exiting how I was glued to the screen even if I didn't learn anything new. Thank you. We are waiting for future videos.
congratulations on your first sponsor deal, glad your channel is growing and keep it up!
Thank you, downloaded the Brilliant app via your link, worth it.
I love this channel! You discuss topics im most interested about! Keep posting pls!!
05:10 now way the erik satie's amazing piece, gnossiende no 1 is playing in a video that explains an amazing topic! Two wonderful things together!
High quality work, really liked your klein bottle video, highly underrated, keep going 👍👍
Wow. Amazing.
Excellent way to explanation. Surely you deserved millions of view
This video is great! Definitely deserves more views than just 50k
So many good UA-cam channels like this popping up in my recommended section! Keep it up man, your videos are great!
another really good video from you!
It's a pity that there aren't any new videos on this wonderful UA-cam channel😔
Dude your videos are incredible, psychedelic even.. The animation is over the top awesome and the music is perfect. You MUST, plz, make more of these 🙏🤘🙌
Yoo only 4 videos and feels like you are a professional youtuber, you are a great inspiration❤️
Beautiful video!
That was super great, I can understand 3d and some other things related to complex geometry better now. Thank you!
watching ur animations bring me calm in this hard times of my metal health. THXS
We need more topology stuff from you bro !
These videos are awesome!!! I’m so glad to have found them and looking forward seeing more. Thank you so much 😊
This is one of the best videos i’ve ever watched on youtebe
Just discovered this channel. Really wish to see more!
please continue making videos like this, they are super interesting!
omg you have posted again!! i love your channel!
Most mindblowing video I've ever seen
Damn, Topology is something very different and I kinda begin to love it
Great video!
What type of software did you use to create it?
I could do a few of the basic shapes in Povray, but the transformations are stunning!
probably blender
Blender, you can see the blender font in some of their videos
blender probably
These animations are amazing, damn
So in theory, we could have an object with a negative number of holes, giving it an Euler characteristic greater than 2!- I wonder what that would look like, if it’s even plausible to make. And what about fractions; how would objects appear with a fractional number of holes?
Also btw, I loved your video and the neat knowledge it brought!
At 5:59 the first part slides over the second part and creates a hole, which changes the topology.
What software do you use to make your amazing videos?
I use Blender and Manim! (both are free and open-source)
@6:09 not sure how the shape crossed the bar without breaking through.
This video was so good ☺️
I loved it so much
Spectacular. Incredible amount of work to create this video. It is really a piece of art. Can you share the explicit formula for the deformation of the mug into the torus? I want to recreate it in mathematica, maple,...
Nice Visualizations!!!
What's the music at 5:10? It sounds so familiar
It is Gnossienne no.1 by Erik Satie
We need more, keep up the good work
What's the song in the background around 5:20-5:35? Piano opera.
5:44 that was some cinematic art
This is so well done! Amazing!
Awesome ❤. Keep it up. Btw how you made these amazing animation?
This is next level explanations. amazing videos , keep it up.
please make videos on fluid mechanics and semiconductor.
0:22 actually it has an infinite amount of infinitely flat holes all stacked on top of each other
A sponsorship of a large website with only 4 videos?!?!? This man is insanely good
HI, I just wanna say your vidoes are really great and easy to understand!
Keep them coming man
Love your vid man keep it up
Amazing reall, keep up the good work
If u keep going down in this rabbit hole of topology you'll finally come across with those sphere inside out guys
What an AMAZING channel holy phokin sheesh
Very very helpful... thanks...
That is absolutely awesome 👌🏻 👏
3:00
That assumes that infinitely subdividing makes a circle and not a really granular polyhedra, take for example a square with side length 1, and a circle inside with radius 1. If you fold the corners of the square such that they touch the circle it does not change the circumfrence of the square, and if you do so infinitely, you get a circle with r=1, and circumfrance of 4, meaning pi=4. Not, because infinitely subdividing a square does not make a circle.
In a similar fashion, we cant say circles have a euler characteristic of 2 by that method.
We can still arbitrarily decide that they do because it helps with our logic though as long as everything else is consistent.
Awesome video
Interesting. Great video!
That "handcuff" puzzle was neat, but could you maybe not keep changing the camera focus in the future? It makes it extremely hard to follow what's going on.
hi andrew, I have confussion with 1) homeomorphism 2) homomorphism 3) diffeomorphism, my questions regarding are can 1)two manifold be homomorphic as well as homeomorphic 2) two manifold be homomorphic as well as diffeomorphic 3)two manifold be diffeomorphic as well as homeomorphic .
Interesting way to expand your mind.
Ok, when will you broadcast the next video?
5:37 sliding them
What is the definition of a "hole?" It's not clear to me how at 6:01 that is still considered only two holes.
Why do you do the camera blur effect at such a crucial time in the transformation????
amazing video, just one complaint, during the puzzle solution, the camera focus effect , the lowed music and the camera movement were very disctracting
You are a great teacher
i had 3 seperate thoughts while watching this video that i didnt want to think too long on and forgot them and they were super super interesting and i probably could've gotten accepted into harvard if i didn't forget 😭😭😭😭😭😭😭😭😭
1:15
Question: at what point does the donut turn into a pumpkin?
Great video! Thanks! :)
Is it possible to learn this power
I have an easy solution to the straw question at the start of the video, and that's defining what a hole is.
Imagine a donut, and visually we can see the hole, but we can't just say "if it looks like a hole, it's a hole" because that causes the straw predicament. Imagine a point inside the center of the donut. Now, there is a 2d plane where the point is inside a circle, and it can't escape without using the third dimension. Now, imagine the plane moves perpendicular, so that it moves along the third dimension. We keep track of where it's moved by having the line leave a trail. Once the dot isn't contained inside the circle, we move on the other direction until we reach that same state. Now, the length of that line is how big the hole is, but what we care about is the fact it's all one line, thus meaning there's one hole. Now, if we did this to a straw, we'd reach the same conclusion. We need to stop caring about how far apart two openings are, and figure out if they're connected, because openings and holes aren't fully connected. Thus, a straw has one hole, never two.
Fucking. Masterpiece. Seriously great work m8, keep up the good work, had a great fun watching it!
Great animation! Although I'm still struggling to distinguish topology from metric
Okay that solution was so cool.
So how do I turn a sphere outside in without creasing it?
This is seriously tripping me out. How did it go from 1 hole to 2 holes
you're the greatest
3:00 It would be easier if we draw longitudinal lines for the sphere to count edges and surfaces.
5:15 the color of the "handcuff" seems intimidating
Pls post more video about topology
I like ut videos
Made my day 🤓!
very nice
Do you need four dimensions for -3?
shoutout kabayan! just saw your video in my recommended section
Bro why did you stop making video 😢
Please do more
i do love the hairy balls theorem
Great video man, the way you explain things makes it much easier to understand 👍
My brain hurts. Man I wish you uploaded more 👌👌
We want more videos!!!