Make Your Own Hyperbolic Surface!
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- Опубликовано: 16 май 2024
- It's actually really easy and fun to make your own hyperbolic planes using crochet. I had many requests for these after the release of Hyperbolica, so here's a proper tutorial for them.
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As a crocheter, I recommend not cutting the tail because it could ruin the shape of your work if it gets pulled or something. Instead, you should leave enough tail to hide it between the stitches in the back of your work
This is more important if you gonna use a regular yarn like cotton or wool
Yea, when he cut the tail I was thinking _no_ !
I like to hold it with the hook hand to control the position of the work when it's not large enough to grasp normally yet. Keeping it flat and under a little tension helps hook properly and with uniform size.
I also winced at how much slack he has inside his stitches.
it hurt to see him do that LOL
I am actually thinking of learning to crochet because of this video, I will keep this tip in mind if I do decide to.
@@Asterism_Desmos keep the starting tail long because you can sew it into your work and it'll have less chance of unraveling your project 👍
i had a physical reaction to the cutting as if the yarn was one of my limbs
I've never expected this channel to be making a crochet video
Me neither, but it's incredible!
I was gonna leave basically the exact same comment
It kinda reminds me of that time Derek Banas (Known for making tutorials on programming languages) suddenly did a "Learn Crochet" video. There were so many people in the comments who clicked on the video expecting a tutorial on a non-existent programming language called "crochet".
@@cookiecan10 ready for someone to make a programming language called crochet
Why is this an excellent comment?
[✅️ Inspired me to watch]
[✅️ Funny] [✅️ Relatable]
[✅️ Informative]
[✅️ Shows appreciation to video creator]
[✅️ Interesting] [✅️ Other]
as a long time codeparade viewer and a crochet hobbyist, I see this video as an absolute win
Ssssssssssssameeeeee
Exactly!
My mom was a businesswoman. She used crochet, knitting and sewing to make and sell toys. She had a brand, a shipping guy, an economist, but she was doing all of the toys for sell herself. Sometimes she would give crochet lessons to all our distant family relatives’ sons and daughters. They were always very excited.
Two years ago her oncology got worst and she retired. I always believed she will come back. Everyone loved her. She died this year, in January. In a national saint holiday.
Maybe I will continue crochet too. Some day. When it won’t be obstructed by my tears. Thank you.
So sorry for your loss. I’m pretty active in crochet and knitting discussion spaces online, and I’ve seen so many stories from people who have taken up fiber arts to connect with their loved ones like this. Some learn the hobby to finish or repair a project that was left behind; others take it up to feel closer to their person or have a physical object to commemorate them. It is a slow, repetitive, almost meditative kind of craft, so it is a pretty good way to occupy your hands and mind through a difficult time. When you feel ready, I strongly recommend that you give it a try. Best wishes!
my mom died when i was 10 and one of the only things i knew about her and kept is this really janky 9ft baby blanket she crocheted for me. i started crocheting because of that and it's one of the only hobbies i have had since. aka i have so much fucking yarn lmao
Thanks for sharing such a bittersweet but wholesome story. I'm sure she was missed by many.
Don't delay, time is short. Hurry.
chad mom, she will never be forgotten
As someone who both crochets and has a mathematics minor, I feel like this video is made exactly for me. I crocheted a Klein bottle this year, which was really fun!
Fellow crocheter here do you know of a pattern for it?
BTW how?
Wait pattern please?
Can somebody @ me if a pattern is found?
@@annasolovyeva1013i mean a mobius strip is easy enough to crochet, you could just crochet two of those and then crochet them together
This is the most hilarious twist to this channels story. Only you would go from math and development to crochet out of nowhere.
As someone who crochets for YEARS now, this is actually one of the best crochet tutorials I have seen
I was thinking the same thing 😂
As someone who has been crocheting for a while and has done some pretty advanced stuff, this is awesome, though you cutting tail off so short was hard to see, but I still love this. The math behind crochet isn’t talked about enough and it’s a tragedy.
I'm curious, why is cutting the tail off bad?
Some prefer to keep the tail to help them hold onto their work until it's bigger and easier to grasp and to keep their work from easily unraveling. I find it also tends to give a much cleaner finish when you keep the tail and weave it into nearby stitches.
What math
@@bettercalldelta if you leave it really short, when you sew it back into your work it can come undone after enough time and then either you have to sew it in again or your work starts unraveling. You also need it long enough so that you can easily put the end through the needle and then be able to pull the needle back far enough to be able to actually put it back through the work roughly where the end originally comes out. Try sewing with thread that’s shorter than your needle and you’ll know what I mean.
@@mattybrunolucaszeneresalas9072 just the little bits of math that I think about when I’m working. If you want to keep the work straight, you have to make sure you use the same number of stitches per row, and some funky stitches you might want to do could take up slightly more or less space and you have to account for that. Also the size of your hook and the thickness of your yam could mean that the patterns that you’re following could end up bigger or smaller if you’re not using the intended size. If you want to correct for that, you have to make a swatch and count the rows and columns and then change the pattern slightly by adding or removing stitches so you do get the right size. There’s also the fact that single crochets and double crochets or half treble crochets or any other stitch has a different height and you can use them all in the one row but you’d need to make sure that the next row accounts for that so it ends up straight or ends up with the shape you want. One more example is figuring out how many stitches you’d need for each row if you’re making your own amigurumi so that the different shapes come out how you want. Honestly most of these don’t really ever come up when you’re following a pattern but I like to experiment and those are the things I think about - just about how what stitches I choose to put where and how that affects the work as a whole.
For another place in science where crochet turns up, check out the paper by Maria Feofilova: "Geometrical frustration of phase-separated domains in Coscinodiscus diatom frustules"
(Tl;Dr: some organisms make weird shells, that can be explained by the math of crocheting)
thats awesome! thanks for the suggestion!
In crochet, getting something like a hyperbolic surface is actually a happy little accident you'll make as a beginner. Some artists use these hyperboles to make appliques, or cool little decorative pieces. Some hyperbolic surfaces can be seen as a part of art pieces.
Also those pentagons while increasing stitches can be imagined as little v stitches over a single stitch in the previous row, to visualise better in practical implementation.
To keep track of counting, use little safety pins and pin them on the first stitches in the start of a row.
⚠️ Crocheting can be extremely addictive and you may end up hoarding yarn and making the first ever cardigan before you know it 😂 Stay safe!
Was not expecting a crochet lesson from code parade
Hyperbolic space is such an Interesting form of geometry because of how different it is from our well-know Euclidean space
The thing about crochet that you won't have a machine is the open-ended creativity possible. You can insert the hook *anywhere* in the work, not just in the top loop of the next stitch in a row. You can go between stitches or in large holes created for that purpose; you can pick up just the back loop of the stitch. And that's still just going in rows. But you don't have to do that-- you can go sideways along the edge, or anything at all. When doing lace, you go off into the air sometimes connecting back to parts you already did, and finally bringing the whole thing back down to the main work.
Depending on your family structure, crochet is probably the first hobby you see adults doing in your childhood, and yet few people (myself included) decide to try it... that's about to change, I just bought a crochet kit for beginners thanks to this video!
How you going? Addicted to crotchet or ptsd? There is no in between 😂
@@KerriEverlastingwdym addicted to ptsd?
Dude as an engineer who loves 3D modeling robots in Solidworks and making then turning around to make adorable plushies with crochet… YES!!!! Ever since I heard about the lady who did the amazing hyperbolic models, I wanted to burn through some of my yarn stash to make some of my own! Can’t wait to learn!! So excited to see the fundamental topology mathematics connection too I am HERE FOR THIS!!!
Man, I literally was just playing hyperbolic games and got recommended this, perfect timing!
This was such a cool video! I've been crocheting for a decade now, and I never realize how closely tied to mathematics it was. The visualization of meshes was super interesting- thank you for the video!
ive tried to learn how to crochet hundreds of times, and i honestly think this might be the tutorial that clicks for me
Well, that's certainly a tutorial that I didn't expect on your channel..
As somone who was taught to crochet growing up and still does from time to time, I love this little cross over episode. I’ve been seeing a few of your dev logs and was mainly just here for the space distortion since I’m not a programmer. But now I get to see hyperbolic space in a more familiar setting and I think that’s really cool
Edit for additional thought: usually increases and decrease are made to make different shapes like circles, but in my experience those shapes are meant to be flat like if you’re making a coaster. Or you make hexagon shaped tiles to join into a blanket same way you would with granny squares. Also, most 3-D aspects of crochet is texture on a flat surface like a front post double crochet stitches that connect to make a line of Vs across the rows of a scarf. The purposeful increasing to break the flat plane and just keeping doing it in a pattern is really cool.
Today I learned crochet instructions are written in Assembly
They really are! There's even a notation for loops.
Not really any standard for branching though; for variations the *if* statements are just ad-hoc and not so compact.
As a crocheter and programmer I never stopped to think about the relation between both, my eyes were opened now in ways unimaginable
This is the video we didn’t deserve, but the one we needed
no way it's the desmos keyboard guy
I never thought I would use crochet for math. Math isn't my best subject but one of my favorites is geometry. I'm doing a project where I study a mathmetician and create a scene with others. I suddenly dove in to hyperbolic geometry yesterday watching videos (including yours!) to understand how it works. My math teacher told me about hyperbolic crochet and now I'm here! I was thinking about explaining how it works using crochet models like this one. So thanks!
I literally *just* learned how to crochet over last winter break (from my mom) and I have been enjoying it immensely. I had the same realization, not long after I learned, that crochet allows me to make meshes / surfaces, especially those that are hard to make any other way (like hyperbolic surfaces!). That quip about the beginning few crochets being the hardest part is 100% true - there's very little to hold on for generating tension in the right way and once you have something substantial to hold on to, it becomes more about doing quadrillions of crochets until you're done.
As a Computer engineer and a crocheter, this feels like a personal win for me. I have always been curious why I was drawn to pick crochet as an hobby, and now I know why! 😂
We need a lot of ppl to appreciate the science and fun behind the hobby that some jump to cancel as un-cool.
I’ve been crocheting for years and was searching for new scrap yarn project ideas and stumbled across this video. I’m minoring in computer science and enjoy mathematics and this makes my nerdy crafty brain so happy. I think about how math is interconnected with crochet often, but I agree it’s not talked about as much as I think it should be, it’s just so cool! It took me years to really understand crochet and understanding the math of it helps and I think it could help other crocheters! I’m always learning more. Thanks for this video! Gonna go make a bunch of these now! :)
This video got me into crocheting. Never thought I’d crochet more than some hyperbolic planes and now I have a poncho and several other smaller projects going on.
Well that was different & a 1st YT vid that both me & my girl could appreciate.
I once made a hyperbolic surface that followed a Pi pattern, single single double, double, single single single double, double etc so yeah 'really forgiving' is an understatement XD
Wait so you used the binary representation of pi to decide wether to single or increase? That's fun. Though now i wonder how it'd look with a balanced ternary representation, where -1 is a decrease, 0 a regular and +1 an increase.
@@joda7697 no i think its base 10. just look
single single double (3)
double (1)
single single single double (4)
double (1)
Daina is lovely! She gave a talk at my uni recently, so it's lovely seeing her get the recognition she deserves!!
As someone who loves both maths and crochet, I was immediately *hooked*
Thank you for touching on the uniqueness of crochet and how if cannot be replicated with a machine! As it’s become more and more fashionable lately, I’ve seen pieces at big box stores for chump change and it breaks my heart
As someone in the video game industry who crochets, this was fascinating! I'll have to make one of these soon, and maybe check out some more of your videos!
as a cs major who crochets, you just changed my view on crocheting in a good way lol this was so cool thank you for sharing!
I love it when RUclipsrs I watch a lot combine my favorite things😊
I have done some crochet, but keep getting confused and frustrated by the effects of added or skipped stitches. Your mathematical explanation of the effect, and showing it in blender, finally made it make sense for me! Thank you! :D
I've always loved maths. And I've always loved textile art (sewing, knitting, crochet, bobbin lace etc.) And I've always loved making the patterns for my sewing bc it felt just like applied geometry.
(Edit) I think I love Mrs codeparade
So fun to see these random blasts from the past, I bought the hyperbolic crochet book and made a bunch of math crochet things during my undergrad more than 10 years ago now. Something super fun and easy to do as well is to crochet different knots and links.
8:10
And that's why i love it
Also you can literally make anything with it !
always impressed with how creative you are at coding. i really wish i knew how to code like that.
coding just feel so boring for me and i dont really tend to experiment that much because im too confuse by the basic
one must learn to walk before they can parkour
well people aren't just born with knowledge, you need to actually start learning yourself, thats the only way
you cant just sit there doing nothing then wonder why others are more successful than you
i have the same issue. i'd probably be good at the creative aspect if only i knew the boring basics. it's just very hard to feel motivated to improve when there's a million road blocks and it seems to take hours to solve even one in an unsatisfying way.
@@nonyobisniss7928 road blocks such as?
@@nonyobisniss7928 and how are the basics "boring"? they are usually quite simple and give you a fundamental understanding of how things work, you need to start somewhere lol
that's the same as saying that you can't get into art, because learning how to use a paint brush and a pencil is too boring for you
Omg I haven't thought about crochet being so connected to mathematical surfaces.
Crochet is so fucking cool, I wanna do it myself !!
I'm a nerdy artist looking for inspiration. My 15 yo son went away to a summer college STEM class and is learning discrete math, etc... I miss him. 😢 I think making this might be something to help me and have a fun fidget gift for him when he comes home. ❤
Thank u!
liking this implicitly bc i love making these things
i love your explanations of this stuff with the 3d models! its such a delight to see someone primarily known for their mathematical content talk about crochet... my two great loves and they combine in such a lovely way but people don't talk about it enough.
if anyone (CodeParade included) wants to see more of this stuff in an artistic and environmental sense, please please look into the Crochet Coral reef project! the way coral is formed looks very similar to these hyperbolic surfaces and the project is just incredible
And your crochet tutorial is so wonderful too lol! You get it. You get the community! I love that you mentioned “frogging” lol! We call it that because you take the yarn and “Ribbit Out”. Also I can’t believe I’ve made so many beanies and plushie heads in the round without realizing that spheres count as making a hyperbolic plane haha
The sphere is the opposite of the hyperbolic plane. It has positive curvature.
You probably have done something like this, to make a bouncy edge around a finished work.
And of course, you always do increases when doing anything in the round (rather than back-and-forth) and that includes Granny Squares. Sometimes a placemat becomes a little hyperbolic by accident, if the increases aren't exactly right.
Damn crochet sounds fun 🥺 I'd love to try it out but I've already spent too much on embroidery thread lol
I remember reading about this in one of Alex Bellos' books when I was quite young. I didn't fully understand it at the time but now I've got a much better grasp on it thanks to your video! It's awesome how intertwined crotchet is with topology.
never thought i’d see the day where 3 of my biggest interests- math, crochet, and programming, all come together!!!
Never thought I'd willingly sit through a crochet tutorial lol
That was the coolest crochet tutorial I’ve ever seen. I guess this is the logical result of watching only computer stuff and crochet videos
When the hyperbolic space and gamedev youtuber activates the crochet/knitting part of your brain like a sleeper agent
oh my gosh he knows what frogging is. HE'S TRULY ONE OF US!!!
I’m starting crochet and I was surprised to see this video here! I had fun watching :)
Finally I find a video explaining how much crocheting and geometry are linked! I've always been enthusiastic about that connection and wanted to see it be talked about more.
I also always wanted to see some program to simulate crochet patterns and show an approximation of the final shape, this is awesome! I'm definitely trying out your simulator later today 😄
This video (and whole channel) is just crochetcredible!
This is so good, two things I love being brought together in a video on a channel I love!
My friend tried reaching me crochet awhile back and I couldn’t understand. But relating it to linear space and hyperbolic space, it makes so much more sense
Bro Sebastian and Code Parade both upload at the same day? Man today is my favorite
Omg this is the best beginner crochet vid because it immediately shows people the vast volumetric/creative possibilities of crochet! Thank you for making this! I've been looking for something I could share with people just getting into freeform crochet ❤
this episode of crochetparade is epic
This looks like so much fun, I will give it a try
I’ve been crocheting for about 6 months, and watching your channel for quite some time, honestly I never thought you’d make a crochet video! And my brain cannot comprehend this whatsoever! However your explanation of crochet is mesmerizing and really grabs my attention
This just so happens to be a great crocheting tutorial! I had never crocheted before, but I successfully made one of these on my first try after watching this!
I really appreciate this video - it has helped me find a new hobby!
Gonna send this to my grandma. She’s going to have one heck of a time…
Bruh, i was LITERALLY looking for how to do this
Same
Well it's a lucky day for you lot then. Get a lottery ticket or something.
I've never crocheted before but this video was really cool. Love seeing math connect to things like this
Oooh, I do a lot of homebrew amigurumi patterns, pretty curious and excited to try out the simulator as a tool for approximating pattern decisions.
As a crocheter its fun to see it put into a mathematical situation
As someone who is wanting to learn crochet, I have never seen a description and visual of decreases and increases that I actually understand until this video!
It's funny because I just taught myself how to crochet last fall, and this was one of the reasons
what a fantastic video. this may finally get me to try crocheting!
I love math and crochet!!! This is the first time i see a video that talks about both topics! Tysm for this wonderful video!!!
You see, this channel see crocheting from programmers perspective. This is why it is easier for my brains to wrap around it lol
Literally never crocheted a day in my life, learned how from this video, thanks for the skill up ✅
I'm picking up some yarn tomorrow, this is so cool!
Gosh I never thought to be taught how to crochet. The schools, PLURAL, I went to made it so complicated and hard to understand, _somehow._ This video doesn't just satisfy the nerd part of me, but also the crochet part of me!
I was gonna say this is the ultimate crossover episode but then i realized this is the ultimate yarnover episode
this was the best crochet tutorial video ive seen and it wasnt even on a crochet channel
as an avid crocheter of several years, i must say your technique and explanations are very good :3 i never thought about this application of crochet, so much creativity! :D
as someone who gave up learning to crochet/knit this is giving me motivation again i wish many tutorials use your visualization software beacuse it's very helpful
Dude,, you single-handedly explained how to crochet a magic circle/cast-on perfectly for it to finally click for me, and way better than other RUclips videos of full time crochet hobbyists 😭 Thank you for this. Best part, I got a new crochet project to work on now. Truly a great video my guy.
Yessss! Love crochet and science!
This was unexpected and also delightful to watch
Ngl, this is the best crochet tutorial I've watched
This is so cool! I love looking at crochet through a mathematical lens. I feel like since math has always been my favorite subject in school, it has helped me understand crochet and I fully agree that the links between crochet and math should be talked about and explored more :)
Always wanted to try crocheting. Guess this is my sign to finally start!
Today is Polish mothers day. My mom loves crocheting. She loved the video, so did I.
Thank you!
I do love it when my love for recreational mathematics and arts and crafts come together!
Time to find some crochet hooks
oh this looks fun i might do this
I make many types of things with crochet, but this. This is wonderful.
huh, i might have to try crochet cause of this, considering how easy and modular it is, the symmetry and math about it hits a sweet spot for me even if its not practical crochet
the way i physically flinched when he cut off the tail 4:14
This was amazing!
THIS INSPIRED ME TO MAKE A HYPERBOLIC BUCKET HAT IM SO HAPPY
Oh my this is a very nice content ! Hoping to see more !
That was a pleasant surprise
Wow neat! I never thought of crocheting from a mathematical perspective. Just bought some yarn and hooks
I think this might actually be helping me figure out crocheting better than previous videos I’ve tried to learn from that were actually meant to demonstrate crocheting specifically.
This video is the reason i even managed to get into crochet.
my partner has been trying to get me into crocheting and i did not expect codeparade to be helping her with that task of hers haha.
This was really interesting!!
I always approach crochet with some little math so I'm happy to come upon this video 😊