I loved your hypersphere video (I've probably watched it half a dozen times. It was very influential in how I think about 4D. Glad to see your new video, this was spectacular. I've been obsessed with 4D for a while, and am planning a series of CZcams videos myself on 4D on my new channel. You actually did something in this video I've been planning for a while - show how the projection of the Klein bottle changes as you move the 4D 'camera'. I've done the exact same thing in Python but my animations are a bit clunkier :) Can't wait to see more!
Thank you very much. If you want, you can access the source code of my Möbius Ribbon. It is on github : al1brn/geonodes. The ribbon is a done is Geometry Nodes with the parameters I needed for my animation. I find that Blender Geometry Nodes is difficult to use and maintain when you have a lot of mathematical computations. So I use python to generate my nodes. The real source code is python but it generates Nodes which perform the real work.
I don't understand this at all but it is really interesting! I watched Tibees Videos and she Talks a lot about the 4th Dimension, that kind of sparked my interest. So im really glad that CZcams recommended me this video. Also, as a germany myself, it is really interesting that Klein actually meant a "Fläche" not a "Flasche" when he described his model
Wow, thanks for this video! The Klein torus came up naturally in our math as one possible surface we can use, and all I could think of was "cross cap with a donut hole" 😅 so it wasn't clear how to search for that shape. Another possible shape for us is Klein + disk, so that's what I was looking for when I was watching THIS video, then BOOM.. there was the other shape I had give up on searching for! If you know anything special about a Klein bottle + disk, please let me know (imagine a membrane across the round opening of the 3D desktop model, like a drum).
I loved your hypersphere video (I've probably watched it half a dozen times. It was very influential in how I think about 4D. Glad to see your new video, this was spectacular. I've been obsessed with 4D for a while, and am planning a series of CZcams videos myself on 4D on my new channel. You actually did something in this video I've been planning for a while - show how the projection of the Klein bottle changes as you move the 4D 'camera'. I've done the exact same thing in Python but my animations are a bit clunkier :) Can't wait to see more!
Thank you very much. If you want, you can access the source code of my Möbius Ribbon. It is on github : al1brn/geonodes.
The ribbon is a done is Geometry Nodes with the parameters I needed for my animation. I find that Blender Geometry Nodes is difficult to use and maintain when you have a lot of mathematical computations. So I use python to generate my nodes. The real source code is python but it generates Nodes which perform the real work.
This really bends my brain 😮
As for the 4-sphere: I repeat the praise! Please translate your works from French. You are an excellent teacher. And the visualizer too.
Amazing video thank you!
great progress on the 3d! great explanation and narration!
I don't understand this at all but it is really interesting! I watched Tibees Videos and she Talks a lot about the 4th Dimension, that kind of sparked my interest. So im really glad that CZcams recommended me this video.
Also, as a germany myself, it is really interesting that Klein actually meant a "Fläche" not a "Flasche" when he described his model
very well explained, definitely cool ideas.
Oh shit new video I love your hypersphere video!!!
Wow, thanks for this video! The Klein torus came up naturally in our math as one possible surface we can use, and all I could think of was "cross cap with a donut hole" 😅 so it wasn't clear how to search for that shape. Another possible shape for us is Klein + disk, so that's what I was looking for when I was watching THIS video, then BOOM.. there was the other shape I had give up on searching for! If you know anything special about a Klein bottle + disk, please let me know (imagine a membrane across the round opening of the 3D desktop model, like a drum).
wow, this is incredible! :P❤❤❤