Cliff's klein bottles are absolutely worth a buy not merely for their own sake, but for the wonderful included materials and fun things he does with the packaging. The box mine came in is every bit as fun and displayable as the bottles are.
My bottle is on my bookcase and the packaging it came in is on top of the bookcase. I told him that there are 26 dimensions in my reality, but he didn't take the string theory bait. But he did sign the bottle, so I'm still happy, and our email exchanges were fun, too.
When I’m feeling a bit low, which is often these days, I just put on the Cliff Stoll playlist. His energy, excitement, charm, and intellect always puts a smile on my face. Thank you for adding another video.❤️
Every day that I see a Cliff Stoll update is a truly happy day, just to know that this man is still doing well. Truly one of the greats along with Mr Rogers.
Mr. Stoll is so passionate about this subject, and that passion permeates to other people, me included. And he makes a quite complex topic into such an interesting discussion. Brady, on his turn, makes the right comments at the exact moments. Such a delightful 10 minutes of life-gaining, well-spent time! Thank you both!
In another comment, @Massimo pointed out this Cliff Stoll is the one that wrote the book _The Cuckoo's Egg_ . It describes events that happened while he was a Unix System Administrator at a national laboratory. He was a teacher. His first book has a recipe for cookies. So yup, that sounds like a very similar person.
Absolutely love Cliff. I bought a Klein Stein from him. The interaction and the additional information he included were brilliantly entertaining alone, not to mention how cool the Stein is!
The coke bottle approach does a great job of conceptualizing the “pathing” as one travels the manifold, I guess because it preserves the traditional orientation and direction of flow we instinctively think of a bottled drink as having.
I got one of his Klein bottles for Christmas a couple years ago and it's one of my most prized possessions. I keep it on my desk and it always puts a smile on my face
I aspire to always have the level of enthusiasm with my passions throughout my life as Mr. Stoll has. Also, Lucas Clarke sounds like a dreamboat! Talented, likes klein bottles and has very cool glasses 😄 I've just discovered this channel, but this series is great, I'm subscribing now! :D
I love this guy! Also, I am not sure which is more "beyond my comprehension", the whole immersion from 4d down to 3d, or the god-tier skill of this Lucas Clarke guy!
I love the Klein bottle videos. That Coke bottle reminds me of the stretched Coke bottles they made down by the seashore when I was a kid and then filled them with layers of colored sand.
I loved hearing that bit about the boro glass vs. the Coca-Cola glass - I have a lot of admiration for people who are true masters of their craft, especially when it involves working with their own hands on something like this. I can design digital logic circuits quite well, if I do say so myself, but to actually get one in my hands I send money to some company to actually make my circuit boards. So yeah - "hands on artisan-ship" really impresses me.
This talk about higher dimensions being projected on lower dimensions reminded me of how I wrapped my head around this whole concept. A two dimension plane being projected on a one dimension line will only show the "shadow of the plane, and if you rotate and translate the plane around, that shadow projected on the line changes, giving a better idea of the real shape of the two dimensional plane, on that one dimensional line, while, at the same time, one dimensional "beings" on that line can only "see" (assuming they "see" like we do) in one direction of that line at a time, their perception of their reality being reduced to a point at the same time that they can't "see" behind a point on that line, they need to "get behind" that point to be able to perceive the length of that object. On the same token, two dimensional beings can se the whole one dimensional line all at once, but they can't "see" behind other two dimensional objects, they need to either rotate that object or circle around it to get the whole picture. Then we get to the projection of three dimensional objects on a two dimensional plane, and the same thing happens, on 2D you can only perceive the shadow of the 3D object and need to rotate and translate it in order to perceive different perspectives of the object to be able to grasp it's true shape. And if we go the other way, bringing a 2D object to a 3D world, we can, again, perceive it's entirety all at once, because, like in the 2D world, we can step to a higher dimension and perceive all the lower dimensions at once. And I imagine it would be the same with a 4D object, a three dimension representation would be just a limited projection on our 3D reality, while in a higher dimension our 3D world could be perceived all at once, with nothing hidden behind anything. Rinse and repeat for higher dimensions.
I bought a Klein bottle from this guy a little over a decade ago and it has lived in my shelf since. In all those years only one person has known what it is. The moment he recognized it I was so excited.
I'm always happy to see another Cliff out there, but I'm curious if it's short for Clifford, or in my opinion, the better option of Clifton? I may be biased.
It helps to think of a Klein bottle as a four-dimensional analogue of a Möbius strip (except it has no boundary, unlike the strip). If instead of introducing a twist into a strip of material and gluing the ends together (the Möbius strip) you take a cylinder, give it a twist (in the fourth dimension) and glue the ends together, you get the Klein bottle.
After many years ahead one day the perfect Klein-bottle will be able to be obtained in three dimensions and they’ll watch this video with a glimpse of smile on their faces
I guess you could say that the edge on the 3rd Klein bottle shown and the coke one correspond to how on a map of the world, the singular point of the North and South poles are represented by a long edge. The East and West being disconnected edges is the same as how the stalk is disconnected on the 2nd bottle design shown.
Those coke labels are not painted but are actually enameled. I think the reason they do it this is because paint would be likely to chip, scratch, or flake off in shipping. Enamel is fused to the glass so it cant be scratched off. Most glass bottles are labeled one of three ways: plastic shrink wrap, paper glued on, or enamel baked on to the glass. Enameled glass bottles are the only ones that can stand up to the heat of glass working.
You made so many videos about Klein bottles. I think it is time to write down some equations and define the manifold and its metric, which he shortly refered to in this video when mentioning Riemann. Only that way you can understand the geometry of it better and actually understand what Cliff is talking about. Maybe even make a whole series on differential geometry on this channel?
Add an addendum to this video! I want to see that bottle viewed under a polariscope! That will show his heating pattern & the residual stress in the glass.
