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 RU-vid, easy to understand and clear pic of what you are talking about. Sorry for the dyslexia hope you understand 😂😂😂👏🇩🇰😇
Hey Andrew we know good quality stuff lacks quantity . It's the same way thete are very few people who like and understand your videos. Thas why you have less views. But please make new videos. It's better to have 1 good viewer than 1000 bad ones.
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
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!
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.
Your videos have thousands of views while videos of people hurting animals have millions. I think it is fair to say, youtube is seriously wrong and that our planet is doomed.
It’s absolutely ridiculous. But it’s not just RU-vid. It’s like people’s attention span is so short, they’d rather sit and watch the dumbest things. No one is interested in learning anymore. All of these concepts are fascinating.
@@watchoutforcopyright9339echnology is what shaped our brain, you should blame technology for what the thing we talking about. When you use technology unwisely and ignorantly, this create the perfect opportunities for the nightmares you feared in the future.
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 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.
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 .
So everything is essentially just a hole to you? I’m losing my mind too Josh it’s not just you. I am extremely afraid of accidentally breaking delicate lab equipment too on an unrelated note. Can’t trust myself with glassware or even a simple titration
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.
Mathematics is a discipline that is very harmful to health. It can cause nervous and mental disorders and great discomfort. Therefore, after the ninth сlass (іn a Soviet school with 11 classes) mathematics is required to be a sport for prodigies, or to study it in some laboratories in the course of work, starting with a laboratory assistant... I want a healthy young generation to grow up, not tortured by mathematics. And let the future Lobachevskys, Poincaré be trained by mathematics clubs, as the future Alyokhins, José Raúl Capablanca - chess clubs. Why play stupid shows when some pretend to teach mathematics, , strength of materials, theoretical electrical engineering.............. and others pretend to study these subjects. It even looks indecent. Strength of material, theoretical electrical engineering are needed by a very limited circle of engineers.
Hello. The peculiarity of this comment grabbed my attention. Is there a way for further discussion with you? Especially with regards to your experience and thoughts you describe and related to nervous and mental disorders. Even if you think it is no interest or insight to my curiosity, I care to differ. This comment is under this particular video.. spatial reasoning, peak my interest... When the layman tempted to occasionally smile at problems or for those who pretend to learn it and teach it. It is indecent... Sorry if my syntax bad as of writing this comment.
allah! There is no god but He - the Living, The Self-subsisting, Eternal. No slumber can seize Him Nor Sleep. His are all things In the heavens and on earth. Who is there can intercede In His presence except As he permitteth? He knoweth What (appeareth to His creatures As) Before or After or Behind them. Nor shall they encompass Aught of his knowledge Except as He willeth. His throne doth extend Over the heavens And on earth, and He feeleth No fatigue in guarding And preserving them, For He is the Most High. The Supreme (in glory)." [Surah al-Baqarah 2: 255]
