Adam Savage Explains Möbius Strips and Klein Bottles!
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- čas přidán 31. 10. 2021
- Adam dives into the awesomeness of the Klein bottle--a classic physical example of a non-orientable surface (eg. a one-sided surface akin to a Mobius strip). Adam's Klein bottle was made by one of his heroes, computer scientist Cliff Stoll--one of the first people to uncover espionage through connected computer systems. This Show and Tell becomes as much a celebration of fourth-dimensional objects as it is the career and story of Cliff Stoll, who Adam hopes to collaborate with one day!
You can find Cliff Stoll's klein bottles at www.kleinbottle.com
Cliff Stoll's book The Cuckoo's Egg: amzn.to/3CB4G6r
NOVA episode "The KGB, The Computer, and Me": • The KGB, the Computer,...
Numberphile's episode on Cliff Stoll: • The man with 1,000 Kle...
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Thanks for watching!
#adamsavage #mathematics #KleinBottle - Věda a technologie
You can find Cliff Stoll's klein bottles at www.kleinbottle.com
Cliff Stoll's book The Cuckoo's Egg: amzn.to/3CB4G6r
NOVA episode "The KGB, The Computer, and Me": czcams.com/video/PGv5BqNL164/video.html
Numberphile's episode on Cliff Stoll: czcams.com/video/-k3mVnRlQLU/video.html
Disclaimer: Tested may earn an affiliate commission when you buy through the links here
There's another numberphile video with cliff where he talks about his millionaire machine. love that one.
I saw glass art before, the amount of color that is used is briliant. This is the first time I saw 4th dimensional glass objects, it's a mystery to me how it is made. Regards, Alex.
So I watched the nova episode, which -for me- felt very much like some kind of a government educational film…
You should add Matt Parkers "Things to See and Hear in the Fourth Dimension". its an amazing talk that goes over this exact topic.
czcams.com/video/1wAaI_6b9JE/video.html
The world needs more Cliff Stoll.
When I saw this video I was wondering if Cliff Stoll would get a shoutout. Super happy he gets more than just that!
Cliff Stoll is one of my heroes. He is just so enthusiastic whenever he is on numberphile.
Same! I paused the video almost before it began to check the description for mentions of Cliff. Also, knowing that there is a pending Cliff & Adam collab is extremely exciting.
Same here! I love Cliff's videos too.
go look at the comments on his amazon page, dude is amazing!!! his replys are so well thought out. love the acme Klein bottles!
Same!
The connection between a Klein Bottle and a Möbius Strip is pretty cool. If you take two mirrored Möbius Strips and stitch them together along their edges, you get a Klein Bottle. Although it is a bit tricky seeing as you need 4 spatial dimentions to do so.
But don't literally connect a Klein bottle with a Mobius strip, or a singularity will form .
You don't need 4 spatial dimensions! You can cut a real life Klein bottle (the standard immersion in 3D) vertically, through the handle and body, and the two pieces will be a (self-intersecting) Mobius strip. It's even easier if you work with the fundamental polygon (a square): if you take a square, twist it and then glue the two twisted edges, you get a Mobius strip. This gives you the "gluing diagram" for a Mobius strip. If you twist it in both directions and glue both opposite sides, you get a Klein bottle. Cutting the gluing diagram for a Klein bottle results in two new rectangles, with a twist & one pair of opposite sides identified.
Im gonna try that using 2mm high density foam and see how it works.
A mathematician named Klein
Thought the Möbius band was divine.
Said he, "If you glue
The edges of two
You'll get a weird bottle like mine."
--Leo Moser
I'm stuck in 3 dimensions, how'd you get to dimension 4?
I had the pleasure of talking with Cliff Stoll at a math conference in 2018. His booth was right next to the CIA recruiting booth that had a working Enigma that you could play with! Had a lot of fun listening to his knowledge about codebreaking!
Omg that sounds like heaven!!!
Imagine if James Grime had been there too, he knows about Enigma machines
@ikr555
> I had the pleasure of talking with Cliff Stoll at a math conference in 2018.
Dammit, Ye Olde IT Nerd in me does envy you now. ;-))
I read Stoll's book Cuckoo's Egg in early 1990, that guy was (and still is) one of my many personal heroes in IT, and I would really love to meet that bloke one day to enjoy an amicable and playful nerd-off over e.g. a good pint or two. :-)
He might be skeptic of modern technology, yet he also loves it and has a small remote controlled robot that stores and retrieves pallets of Klein Bottles under his house.
He also has that awesome giant motorized slide rule.
I saw that with Matt Parker. Pretty cool.
He's a skeptic of how people use modern tech. Thats a more apropos descriptor. Technology generally works as designed/instructed to run. If I designed my own robot helper and shipping order fulfillment bots/software, I'd be on board with it like Cliff is lol.
I think any legitimate skeptic of technology is also someone who appreciates it. I think to really understand something's faults you have to love it. There are people who just fear monger but if you really listen to their arguments you can tell they don't really understand it
And his middle name is Timothy and he's a Gemini.
I ordered a couple of klein bottles from Clifford Stoll. I was really amused when the box came; he had scribbled all over it. Funny warnings, several of which was in Norwegian. He clearly saw where it was heading and went to town with it 😆 He even mentioned that the packing pillows (?) contained exotic Californian air - free of charge.
Maybe packing pillows is the Norwegian term for packing peanuts?
@@rickhillegas2414 How big are peanuts usually? These where indeed more like pillows.
I too was amused with the packet and packing list I received with my Clifford Stoll Klein bottle! A very entertaining read, and I love the bottle as well!
Cliff Stoll is the coolest person I've ever interacted with. I ordered a Klein bottle from him a couple years ago and he goes above an beyond with the shipping container and paperwork which he includes. The remote controlled forklift robot he has in his crawlspace where he warehouses the bottles is just beyond awesome.
That sounds neat af! Where is there a video on that thing?
@@danielocean2665 czcams.com/video/-k3mVnRlQLU/video.html
@@danielocean2665 Numberphile has a bunch of videos with him, including the one with the forklift. You can search the channel on youtube.
I would absolutely love watching Adam and Cliff nerd out in an hour+ long collab
I second this!!!
Same 👍🏻.
I’m pretty sure everyone watching this video is familiar with Matt Parker, but on the off-chance that some aren’t, he has some amazing stuff out there on Möbius strip demos for science education. He easily continues from simple projects for kids to mind-blowing fourth-dimensional objects and is a true delight for science/math(s) learners of all ages.
Yup he even has a 4 dimensional Klein Bottle like beanies.
I loved the collab Adam did with Matt on this channel where they made an infinite rhombic dodecahedron.
Love his presentations at the royal institute
Cliff Stoll's numberphile videos are my favorites. Whether he's talking about topology or old calculators or whatever, he's so much fun!
OMG I want to see the meeting between you two. He is just as entertaining and informative as you Adam. A must watch for any tested viewer Clif in action.
Glad to see that he is still selling Klein Bottles .. I bought two of them about 30 years ago and gave one to my young son (about 5 years old). He still has his and has always been fascinated with the one-surface concept. I still have mine as well, and enjoy trying to explain it to people when they see it on my bookshelf! Thanks for bringing back the memories.
My friends and I visited Cliff's studio last month. We gave him a call and dropped by. His energy was just amazing!!
I HAVE A KLEIN BOTTLE MADE BY CLIFF STOLL!!! Im SO hyped to see this video!!! Hes my favorite mathematician!
I'm sorry, but I have to ask. You have a favourite mathematician? Do you also have a least favourite, or a ranking system? I'm not yanking your chain. I'm interested to know. Thank you.🙂
@@LMde20 You should look up the Numberphile videos that feature Cliff Stoll. It doesn't take much time seeing this person be enthusiastic about mathematics before even someone who's not that interested gets a favorite mathematician.
He's also one of the few mathematicians that casually catches international hackers on their spare time, and gets a Nova documentary about it... Where he plays himself.
@@CeeJMantis lol, maybe I should. Math was never my favourite subject. It drains my brain sugar, makes me hungry. I was never better than a b grade student. But you're never too old I guess.
@@LMde20 Honestly, it helps when you are learning of your own volition, and not being forced to practice to meet someone else's standards.
I have a klein bottle and his klein coffee mug
Those Möbiusbands were used back in the day when factories had one steam machine that powered the entire machine park using overhead belts. The belts used to drive the machines had a Möbiusband to reduce wear and tear…
Or more accurately distribute it more evenly. Since with normal operation, the band "turns over" as it goes, both "sides" get even wear, so they don't break quite as quickly. I can't say just how much extra life you get from it, but enough to make the process commonplace.
I LOVE that you got it from Cliff Stoll. I got one as well from him and I also got his book which I highly recommend by the way. This is a well deserved shoutout and I also encourage everyone to check him out
WoW, thanks for mentioning Clifford Stoll, Adam! He's one of my heroes too & have read his book, The Cuckoo's Egg, which details the steps he made in catching Markus Hess (the hacker)... ;)
My undergraduate advisor was a topologist and he kept a glass Klein bottle in his office. I purchased a Cliff Stoll Klein bottle a few years ago and it sits on my bookshelf. Fun fact #1: if you zip up two Möbius strips along there edges, you get a Klein bottle. Fun Fact #2: if you cut the Möbius strip along the red line that Adam drew, then you get two interlocking Möbius strips! 🤯
Ah Cuckoos Egg. I recently found and re-watched that story which was so fun. The photo of the hacker in that story looked like me of all things. And I don't even own any falcons.
Thank you for another informative video Adam. Your contagious enthusiasm always reminds me of why I became an engineer when times are tough.
I love seeing Cliff Stoll in action! Such enthusiasm for his field and experiences 😊
When I was a kid, I also experimented with a Mobius strip. The fact that it had only one side was interesting, but more fascinating was that it could not be cut in half (along its length); it just doubled in size.
Try cutting a Mobius strip in thirds along its length.
After cutting it there will now be two twists instead of one and when you cut this strip you will now get two separate intertwined strips.
I ordered a Klein Bottle from Cliff Stoll a few years ago, and he made the whole process incredibly pleasant, with emailed photos of each stage of the packaging process. My bottle arrived perfectly safely from across the atlantic. I also seem to remember him having a miniature home made fork lift truck to help manage storage boxes under his house. Great guy!
Cliff Stoll is one of my heroes too. I am a math teacher who often shows numberphile (and mythbusters) videos in my class. Between Sagan explaining the 4th dimension using flatland and Stoll's introduction of Klein bottles in my life, I started showing my students videos exploring much more advanced mathematics involving topology and set theory. Even though it was far too complex for my seventh and eighth graders to fully comprehend, just exposing my students to the wonders of math was worth everty second of class time. Not to mention that a number of kids walked away from these videos with their minds thoroughly blown.
First time I heard mention of a Klein Bottle was from a Fireside Theatre record..."being trapped like Mars flies in a Klein bottle"... I had no idea what it was. Now, Adam has not only brought this amazing puzzle to the forefront, but he has lead us to learn about this incredible individual, Clifford Stoll.
Thank you Adam!! Truly enjoy your works and projects.
Super excited about any upcoming collab with Clifford Stoll!
As always, Adam's enthusiasm is infectious. I have to mention that the Necroscope series of books by Brian Lumley features Mobius and his famous strip heavily. Highly reccommend them for horror/fantasy fans.
Adam Savage and Cliff Stoll are two of my favorite people on this internet. This video makes me so happy.
I have never been so happy for you to do a video on something. Cliff Stoll and his glorious klein bottles are great!
Cliff Stoll is an incredibly nice guy. Got a klein bottle from him many years ago. Doodled all over the box, added related stickers, wrote a really nice note. It was super cool to see!
Totally cool NOVA video. Thank for recommnending it. Will have to check out the book.
I love your book recommendations, they’re always interesting and of things I’d never heard about! 🤩
Fascinating and excellent job presenting this to us, Adam!
I love both of these objects! Thank you for posting!
I'm a huge fan of Cliff Stoll too! He's such an interesting individual that my the nerd in me is super interested in. His writings and theories and beliefs are compelling and he explains things in such a way that even people with a cursory knowledge in the subject can begin to think about his arguments. Rabbit hole is a good way to describe Cliff's mind; it goes deep!
He is definitely one of my heroes! I treasure my Klein bottle I bought from him.
I love that book! I'm so happy you (and others) have heard of it!
I got super into cliff stoll from numberphile and was so fascinated by the concept of a klien bottle that my mom actually got me one for my birthday
I was super happy when I saw that podcast episode. My wife ordered me a bottle for my birthday earlier this year. It was an amazing present. Thanks for talking about my favorite shape :)
Great video Adam! Thank you Tested crew and Adam!
"The Cukoo's Egg" is a great book for anyone interested in computers or modern history. I can confirm that cybersecurity still uses the techniques he pioneered.
That, and one called "Hackers: Heroes of the Computer Revolution"
From the MIT Model Train Club to SpaceWar on a PDP Mainframe to the Altair 8800 playing "Daisy" on a nearby radio, to Sierra Games, Atari, the Homebrew Computer Club and Apple and MicroSoft... Omg, the historical stories told in this book, I cannot recommend enough.
I bought a klein bottle exactly 1 year ago from cliff stoll, the chief bottle washer. Nice to see this covered!
I first saw an excerpt of the book in a computer magazine (might have bee byte). Bought the book and read it. The kicker was him talking about the worm at the end of the book. I remember seeing stories about it on the news. Really made a connection at that point
oh gosh watching this video reminded me. I had a Clifford Stoll Klein bottle in my room and it broke a couple of days ago. I really need to go and buy another one of his. Truly beautiful creations!
After this video a took a quick dive into Cliff Stoll explaining why is the sky blue... He seems insane in the most marvelous way, I love how he explained it. Thanks for the book suggestion
I have a Klein Stein (beer mug version of the Klein Bottle) from Cliff. Even the interaction with Cliff during the purchase and the extra gumph he sent were brilliant! Amazing guy.
The Cuckoos Egg finally got a new audiobook that is available on Audible in January 2020. I had been trying to get it for a few years before that with only frustration. An excellent listen.
I've met Cliff several times, at Cal State University, East Bay (Hayward) when I was an instructor there... While he was giving his lecture he stood up on a chair and adjusted the clock so he would have more time to talk... LOL I kiddingly said but I still have a watch on.... he asked me "Let me see that" I took off my watch and he chucked it across the room... I was in shock but it was funny! LOL... On another occasion, I met Cliff at Pacificon (Ham Radio Convention) he was the guest speaker and when he lectured, he stood on top of the tables and ate people's left over food... Later on that evening I helped him move his props from his presentation to his truck, and I got to ride in his old beat up truck LOL... Cliff is great and funny guy! I hope to see a video of you two together I'm a big fan of you both. P.S. Did you know if you zipped a left-handed mobius strip with a right-handed mobius strip that they would come together to form a Kline bottle? I know... Mind blowing! BTW: right away I ordered a Medium sized Kline Bottle... I had to do it!
A housemate and I each ordered one when we saw them on the web in the early 2000s, and only afterwards realized that it was _that_ Cliff Stoll. I still have mine on a bookshelf in the living room; it's a lovely piece.
I remember watching "The KGB, The Computer, and Me" growing up. It was one of my favorite episodes of NOVA.
The opening sentence of my grad school application is "My
name is Colby Dennis, and my career goal is to grow old and senile as a
tenured physics professor - not too different than how I imagine Clifford Stoll
is now. " He is an inspiration!
I wish I could be as passionate and excited about anything, as much Cliff Stoll is passionate and excited about EVERYTHING
The Adam Savage + Cliff Stoll collab really needs to happen. Cliff is equally (or more) energetic and enthusiastic about maths and topology as Adam is about the making of things. This is something that needs to happen.
For my wife's (then girlfriend's) first birthday we were together I bought her a Klein bottle from Cliff. She loved it, and he enjoyed hearing that she liked it. A great moment all around!
Love it! And I can't believe you haven't met Cliff Stoll - but I have! He was a guest at a Macworld Expo in the mid-90s, where I was on the conference faculty. I was part of a group of about a dozen people took him out to dinner, and he and the evening were delightful. I know the two of you would get along famously!
I had read Clifford Stolls book after hearing about it in the 80s A very interesting book and just happened upon this video. When researching Klein Bottles. Great video
i love how similar content creators are aware of each other and most likely consume each others content. Like Adam knowing Numberphile or Veritasium and vice versa. It all gives this feeling of an interconnected youtube universe, kinda like a nerd mcu.
Omg, I remember watching and reading Cliff's book yeeeeaaars ago. Still to this day the coolest Nova show I have seen :D
My parents wedding rings are both mobius strips, so I got them one of cliffs klien bottles for their anniversary. Its great, I love all the graffics etc it comes with too!
My introduction to Mobius was from the Brian Lumley novel Necroscope. Good read!
5 books in the first series, 3 in the second, 2 in the third, and I believe there's more after that too.
I met Cliff Stoll many many years ago, a few years after Cuckoos Egg was published. At the speakers banquest at the Dayton Hamvention. He was a very animated (some might say, bordering-on-lunacy) speaker. Purely by chance, I won the grand door prize at said banquet, and got my picture taken with him. I ended up drifting into computer and network security a year or two later.
I also read The Cockoo's Egg as a kid, and my wife got one of these Klein bottles (which came with some usage instructions, including the amazing line "for best results, avoid doing stupid things"). It was only later when I saw a Numberphile video with him that I realized the same person did both. This is why he is two of my greatest heroes.
Mobius strips are also expandable. Say you have a length of material whose cross section resembles a square. If you connect the ends but twist one end 1/4 of a turn it will still only have one surface and one edge.
Cliff is a veritable genius and the archetype of the nutty professor. Love to see you and him do a video together!
> Cliff is a veritable genius and the archetype of the nutty professor.
It is a sacred duty for old nerds to teach young nerds and amaze them with all the knowledge and experience they amassed over time - just as it is a sacred duty for young nerds to learn from old nerds and in turn amaze _them_ by pushing the boundaries of knowledge even further.
Wow, I remember Clifford Stoll. Thanks for the ‘blast from the past.’
I made a "Klein Bottle Thermoacoustic Resonator" video using one of Cliff's bottles by putting some steel wool in the neck of one and heating it to drive a glass syringe piston effect.
But I've often thought it would be fun to make a Klein bottle jam jar jet similar to the Erlenmeyer flask Klein bottle Cliff sells. A 500 ml Erlenmeyer flask I used with length of tubing snorkel at the top runs pretty snappy and with work a 180 bent exhaust in the shape of a Klein bottle might be interesting to see. The "Erlenmeyer Flask Jam Jar Jet Snorkeler" video will give you some idea of the effect. You could color the flame or use the thrust to push a little toy car or boat or whatever craft you might think of.
Maybe like the Superconducting Quantum Levitation on a 3π Möbius Strip a little Klein jam jar jet could ride on a Mobile track.
Actually, the Klein bottle Adam showed (and I made) were built from Florence or Boiling flasks. Erlenmeyer flasks have flat bottoms, not round.
@@colinpovey2904 From CLiff Stoll's Acme Klein Bottle page he writes ..."Two great names, wedded together in glass!
With an oxyhydrogen torch, we delicately burn holes in the base and side of a 500 ml Erlenmeyer flask. A graceful loop of borosilicate glass connects base to side-nexus and thence on to the neck." Or maybe propane and oxygen being cheaper? Most of his bottles are round bottoms but he sells an Erlenmeyer flask shape too if you check his website..
While my simple "Klein Bottle Thermoacoustic Resonator" clip was made by purchasing one of Cliff's typical Klein bottle shapes, the 500 ml Erlenmeyer flat- bottom flask I used to make the "Erlenmeyer Flask Jam Jar Jet Snorkeler" video has a length of tubing sticking straight up from the flask whereas if it curved into a 180 bend and typically fashioned, with a proper impedance/ratio it could be another variation on a theme for Klein bottles, a Klein Bottle Jet, having both kenetic and visual art appeal.
The half liter Erlenmeyer flask I cobbled together runs quite fast and is surprisingly loud in person. Ideally as a Klein Bottle Jet it would be made from fused quartz rather than borosilicate glass. After the sudden lively start, you can see a somewhat steady stream of flames exiting the exhaust tube. Imagine a toy boat or car using a Klein bottle engine, how cute if dressed up visually.
Great😞! Now I have to stop everything and watch Cliff's Nova special for the umpteenth time!
I'm glad the klein bottle got a shout-out, I remember the as yet untitled podcast when Brady came on and presented it to you at the end. Can't wait for the third part in this trilogy where you all meet up!
Which podcast? Was it on the unmade podcast with Tim?
Tadashi Tokieda (who has also made a career across many fields) made some delightful Numberphile videos a while back about gluing/cutting Möbius strips together!
Must show the Möbius strip to my son! Next we need Adams favourite knots 🪢!
I have two copies of The Cuckoo's Egg, one loaned out last I recall. Having become involved with computers and networking very shortly after the time the majority of the book takes place, I thoroughly enjoyed and understood what he went through. One incident at the end was especially nice, because I experienced it at my work.
Time-Life Books had a series of books about all kinds of things science-related. I loved the one they had on Topology, covering the subject so well for my young teenaged mind.
In 11th grade in school we did sculpting. Not only clay and wood but also sandstone carving. And I did work on a Möbius loop. Sadly I never marked my unfinished work and it ended up staying at the school and someone else continued.
It's one of two artworks I did in school and never took home.
I've seen the very first real life Klein Bottle! Blown by Mitsugi Ohno who used to work for the chemistry department at Kansas State University as a glassblower (a lot of university chemistry departments used to employ their own glassblowers). It's on display at their campus along with a bunch of his other glass art. I wish CZcams let you post pictures in comments, but alas...
I have one of his Klein Bottles. I bought it about 30 years ago, I believe. It's awesome!
I also watched that Nova episode when it originally aired. He is fascinating.
Cliff Stoll x Adam Savage collab will break the nerdy internet.
Knowing that Adam also watches numberphile somehow makes the world make more sense
Infinitely more so.
His TED talk is my favorite of all time
For you youngsters wondering why Adam says "Magic Marker", that was a common brand name for a permanent marker back in the 60s and 70s. It's like saying "Kleenex" instead of facial tissue or "Xerox" when you want to copy something. The modern equivalent would be "Sharpie".
MORBIUS???? MORB, I LOVE MORB.
Extremely interesting and educational, thank you for taking the time to make this video.
I remember reading the Cuckoo's Egg around the time the Internet arrived in NZ. It made me super aware of security right out of the box. Also, it was a well told tale.
Show and tells are my favorite!
And one day builds,
And cosplay incognitos,
And…
Cliff Stoll became a good friend of my boss (Bro. Guy Consolmagno, director of the Vatican Observatory) back when they were grad students together. They are still good friends today.
Thanks for the video. I enjoyed it.
Technology is a tool for making processes more efficient. Any tool can be 'misused' for chaos.
As a retired middle school English teacher: 'multiple different' actually means 'various'. Use various.
Did you just mansplain to Adam Savage?
You could make the argument that "multiple different" means several distinct objects/values (X, Y, Z, U, V, W), whereas "various X" would mean variations of X. (X1, X2, X3...) How a person chooses to phrase things consciously or unconsciously is a manifestation of their personality and how they think. Telling someone what word to use is telling them how to think, and fundamentally telling them to change themselves.
I won't even start to address your first line, which has nothing (or very little) to do with the video.
Please stay retired.
@@8thlvlMage I am going to stay retired, so you can relax. However, I will never relax my defense of succinct use of the English language.
'Multiple different' and 'various' mean the same thing. There are no 'points' in time, like on a time line, which is a line.
I never tell people how to 'think' -- just how to use the language economically.
Thank you telling your story...
@tested I have a Cliff Stoll Klein Bottle and love it. He even signed it and included a bunch of photos of himself with it. I would love to see you and Cliff together. That would be amazing.
Good Morning All. Great video Adam!! Thank You!
I have a very very cool metallic 3D printed Klein bottle bottle opener*. It has "cut out" designs which allow you to see through it and examine the geometry. *the bottle opening lip is welded to one side of the hole in the base.
The podcast episode moment where Brady Haran of Numberphile presents Adam with the Klein bottle was great too.
OMFG, had a lecture involve Möbius today, and now you upload????!! defuc
Awesome. I was just talking to a friend the other day about the possibility to make a (useless) möbius strip die and we disagreed a bit on whether or not you would be able to roll it. Seeing this pop up in my feed today, I have no doubt that you would be able to roll it..... And always get the same result.
Thank you
👍
Loved that book!
My first career was being a scientific glassblower, making things in glass for scientists. I have made Klein bottles. While they look simple, they are pretty tricky to make, and Clifford's are excellent.
And I too read The Cukoo's Egg, and is is excellent, bot the material and the writing.
Beeb reading a fantasy book from the 70's and yesterday I got to a part where a character had to do this and I tried to picture how he would do this. I tried searching but couldnt find anything to show it. Today this pops up in my recommends and I just happen to click on it and the first thing you talk about was exactly what i had been searching. I was trying to do it but all i had was a small receipt so it didnt work but i was close
Also for those interested the First Ever Glassblown True Klein Bottle was crafted in 1961 by Mitsugi Ohno while working as the Scientific Glassblower for Kansas State University.
en.wikipedia.org/wiki/Mitsugi_Ohno
Enjoy!
This is amazing, I read The Cuckoo's Egg last year, loved it, then found out he was the Crazy Awesome guy from Numberpile and selling Klein bottles! Only recently were the large one's available, just in time for my Birthday! So yea. My tinder profile has a photo of me holding it smiling wildly, just so potential matches know what they are getting into.
I ordered a copy of the Cuckoo's Egg on Amazon, some four years ago, still waiting for it to arrive.
Hello Adam
I love your videos.. always informative.
I’ve got a question unrelated.
How do you know what to keep in your shop and what to let go of. It’s hard not to keep everything. Like a piece of paper that someday you might make into a Möbius strip!
Thanks
Kris
Thanks so much for providing those links....down the rabbit hole i go :D