Crocheting Hyperbolic Planes: Daina Taimiņa at TEDxRiga
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- Опубліковано 10 лют 2025
- Watch re-edited version of this video • Crocheting hyperbolic ...
A mathematician, artist and lecturer at the Cornell University, USA, Daina Taimiņa one day picked up a crochet hook, bright crochets and visualied apparently very complicated mathematical concepts that prior to Daina's artwork were only understood by highly experienced mathematicians.
Playing with the crotchets, Daina has created an entirely different understanding of the hyperbolic planes and has created a tangible way for the young scholars to master it. Daina is passionate about art, travelling and the geometry in the ornaments of various cultures.
Full transcript with pictures on author's blog: hyperbolic-croc...
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When I heard Lawrence H. Summers comments about women innately unable to do mathematics the first thing I thought of was quilting, crocheting, knitting, sewing etc. The mathematics is part of the nature of these crafts. Art and science always parallel one another. Except perhaps in the hyperbolic plane where they might intersect. And Daina, thank you for proving Summers wrong!
You got the parallel intersection backwards
thank you all for nice comments!
Great video! Is it possible to crochet elliptic planes?
Hey; long time ago, but this was a very good talk here. You kept things very genuine and informative, so that people really know what you mean and can enjoy. Thanks a lot.
🥰 Love from Brasil!
Im currently crocheting some hyperbolic shapes as visual models for a scholarship video about non-euclidian geometry. Thank you for that work that you have done!!
I am blown away by this wonderful woman, so insightful and creative. being an avid crocheter and mathematics enthusiast myself i can so imagine how fulfilling it is to solve a troublesome problem with a craft most see as redundant or at best 'quaint'.
i got sick quite young and never had the opportunity to study beyond HS and got ridiculed for my love of crotchet, now i understand why i love it so much. it fed the same hunger an education in the mathematical field would feed. Thnx Ms. Taimina!
this talk transcribed with all slides is posted on my blog hyperbolic-crochet.
Daina Taimina this is kind of hard. :)
AMAZING
@@ayuunagisa thank you!
I won‘t pretend to understand the maths behind this, but it‘s fun to crochet these forms! It just takes forever… =)
I wish I had heard this in person because I laughed at her jokes 100% more than her audience! 😂 What an insightful demonstration-loved it!
I thought the same! She is an incredible educator and performer, and I wish she had a better audience here that matched her level of enthusiasm and energy!
It can be in the round, or straight. Just increase one stitch every third stitch. Or second, or fourth, or whatever your variation is. Also, you can add in random "mutations" such as "every 10th stitch add a bobble". This creates shapes that end up looking a lot like natural corals.
Crochet can cuddle anything:
Math
People
...
This is right in so many ways. Here's some:
For science, bringing disciplines together to aid understanding
For maths, providing access to difficult concepts through a kinaesthetic portal
For art in the sheer beauty of each crocheted variable
For stress! Holding a malleable, fluid shape-changing piece of hyperbolic crochet is very therapeutic
For conservation promotion through coral reef and marine life awareness
For WOMEN as an ancient folk art cottage industry craft receives global recognition as a successful model for high order thinking
And socially as creating a hyperbolic project works brilliantly in a community spirited event!
Thank you, Cindy!
That's a beautiful summary of the message from this talk ❤️
So every time I overstitch my rounds when crocheting doilies (happens every time), I have been unintentionally making hyperbolic planes!!
As a math major who has been crocheting since age 8, this talk just flooded my heart with joy. The ability to gain intuition of such a complex mathematical topic from a craft I have such familiarity with is truly uplifting!
5:28 i think that is one of the most clear examples of what is so cool about hyperbolic geometry. And it's a physical example that you can touch and move around. Perfect for gaining an understanding
Found this while I'm crocheting hyperbolic brooches .. This was so interesting. Before watching this my mind was opened to how a flat circle can become not flat & have positive & negative space. Just making one helps you not just visualize but really "get it" for want of better words. I love how I can keep folding & folding & folding. Makes you think about the universe & infinite space.
Now after watching this I'm REALLY interested in what this could pertain too. Thanks so much for that talk. Was really well done. A lot of information in a short session & I think she coped & got her message across really well. It's not easy trying to explain something that you have understood on a certain level & hooping to God that people understand. Thanks again, :))
I read Ms. Taimina's book my senior year in high school. I really enjoyed it and immediatly made a hyperbolic hair clip.
The things that can be seen in mathematics is for the 2 first years of graduation and then it starts to get more abstract and we imagine with our minds.
I appreciated the effort some mathematicians made to draw manifolds, I thought they were drawings and never thought much about manifolds later.
When I discovered someone had crocheted Lorenz dynamic system, I got really thrilled, because I love to crochet and I started when I was 7.
I really don't want to write programs to calculate how many stitches on each row to come out with a crochet model of a dynamic system or a manifold.
I think about crocheting hyperbolically just as an art expression. If someone wants to find out the equation(s), he's only welcome.
I am glad she studied in a more amicable place than where I did.
I hope people appreciate her efforts. It's not so rewarding as one might think. She has to deal with mathematicians on her daily life and knows too well how they can be.
I wish they could be different, but they can not. Too much fire has already been stolen from mathematics, sorry to say that.
DANG, this woman has sass. I love her sense of humor.
For people who agree with her point that you have to experience the hyperbolic plane to truly get it, there has been a great recent video games that takes place on the hyperbolic plane. Easily named Hyperbolica. Cute indie project.
I love your jokes even do the audience does not seem to laugh at them
I have the same experience. I was surprised that the audience is not reacting for all the jokes :D this talk is a prove on how creativity is needed in every field, not only arts. Well done!
Wow, Mam, You are just amazing! What a way to aid visualization of hyperbolic constructs. Thank you! :) The crochets are cool and beautiful and the paper models were also very insightful!
Fascinating talk! Thank you for sharing your knowledge about such an interesting topic. I might even make one of these myself!
This woman is a genius
💕
Loved your humour as well as your work!
Oh. I get it. Non-euclidean geometry is the difference between Minecraft reality and non-Minecraft reality.
Was really inspiring the way which a mathematician can think.
Thank you TED and Daina Taimina.
Daina Taimina; nacida el 19 de agosto de 1954, es una matemática letona, actualmente Profesora Asociada en la Universidad de Cornell, conocida por crear objetos de ganchillo para ilustrar el espacio hiperbólico
Thank you for that great talk!
Im a mathematics major and i crochet everythingggg so i can remind myself of my learning and have a think but also so i can better explain to my peers what these shapes actually look and act like
Thank you For Sharing Such Shapes Helped A Lot
thank you very much mam ❤️
Love this!
Erg mooi. Maar kan de uitleg van patronen ook in het Nederlands ,heb niets met. Wiskunde
Zou ik erg waarderen want ik heb van Lorenzo manifold prachtige creaties gezien maar helaas alles in het wiskundige engels
So visionary and inspiring :))
so how exactly do you crochet a hyperbolic plane? what is the pattern...do you crochet in the round???.....how does this work?
Rebecca Tarockoff crochet in the round, increase at every stitch, or every other stitch, anything aside from what you do for a flat circle. Try starting with increasing every stitch
I have no idea what she’s talking about, but it’s still interesting 😅
Never mind hyperbolic crochet, how does she make her jumper change colour?!
Totally. I thought I was going potty at first
Wow! Thank You.
Thank you
thank you
2:58 blue jumper... 3:03 maroon jumper... WHAT ????
My name is Gary and I make cardicans sweaters ,hats afghan s
yooooo