Was the pun at the start of the video intended? 'Have you ever looked at your knotted ear buds and thought that looks like math? ... Maybe Knot' 😂😂 I love it!
This video was great, well made, visually entertaining, beautifully explained, etc... If you continue on this path i can see your videos expanding in subject and sophistication and im really excited to see the content you create!!
This leaves so many questions: how many colors do you need to colorize all possible 3D knots? How many knots exist for each N-coloring? How do you prove uniqueness between two N-colored knots?
Really cool video , now I wanna know more about knot theory, topology is difficult but really interesting.I hope to see more videos about this subject or math in general that's cool
I thoroughly enjoyed your video! Coming from a video on Conway’s Knot, this was recommended to me at a perfect time, and I learned a lot about a subject I’m looking into now that I know how cool it is! Thank you for your insight into this topic with a well-made video!
I have read and looked at looked at several videos trying to understand these concepts. This is the first one that did it for me. I have no doubt this would be a successful channel if you chose to keep working on it
I think to find out if a knot is in its simplest form you have to take every point on the knot after it's been laid out flat and see if going left and right results in going under another part of the knot and if both legs of the point you chose on the knot go under or over then you can assume that is an unnecessary part of the knot that can be simplified
love this topic and hate the 3rd operation. I have some work on this topic for fun, and this 3rd operation is kinda messy when you try to apply it on the knot description. if you imagine like. the 1st operation is the interaction of a line with itself witch creates a cross on that line. the 2nd operation is the interaction of 2 lines which creates 2 crosses divided in those lines such as the signs for if is goes up or down must be the same on both lines. then the 3rd operation would be the interaction of a line and a cross, in this way you get 4 extra crosses, and you add their values half on the line and the others on the sides of the cross. this way you can apply the transformation locally without worrying of creating extra crosses on the operations.
To find out if the knots are the same just follow it all the way through and see what goes over you and what goes under you if you pretended the line was a train loop with bridges and underpasses. I'm pretty sure this would work.
Claro, tiene que tener una interseccion de minimo 3 rayas para considerarse nodo y Cambiar De Color. Un nodo Se Diferencia (de eso trata el video) debido a si tiene tricoloridad o no
So if I have an anatomical combination and that opposes another bodies anatomical attempt to combine movements is this a knot combination where my knot is the body which doesn't achieve it's combination? Say I'm tying a knot, the string is following me, imagine the opposition following me, they would be tied. This can work in the understanding of words where I order a combination of songs gradually easing into a harmonic sound combo however built upon understanding giving rise to food flavour combos. The this icecream isn't going to taste good to native children who haven't ever tasted icecream before until they have my understanding of life. Which is a rule basis, a following of my movements to the icecream, a this is how you hunt, track and gather or kill the icecream in order to thrive, survive, live. Is this a knot, my icecream and your icecream? m.ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-qa36t6ahz9s.html
