#topological crochet

[craft-y-llama]

A surface bounded by four interlocking "triangular" loops, made with Shiying Dong's seamless topological crochet method

[dailypokemoncrochet]

#At first I thought ''man this person has a lot of disposable income'' and then I saw that they were CROCHETED#CROCHETED????????#YOU CROCHETED 606 DISTINCT CREATURES FROM MAINLY 2D SPRITES#YOU HAVE AN HONORARY DEGREE IN TOPOLOGY WHAT IS THIS#CROCHETED??????#crocheted#Anyway#I'm in awe of you op I am a beginner crocheter and I can only aspire to one day be as good as you and make myself a ceiling full of Boys

lol I love this, this is such an interesting comment to me. I looked up what exactly topology was and do you think that if the whole pattern book series thing doesn't work out, I could make some kind of idk Thesis about crochet&topology and get a for real degree about it? That'd be neat

The two halves of my updated ceiling display, currently at 600/1010 Pokemon

The first half goes from #001 Bulbasaur to #505 Watchog

The second half goes from #506 Lillipup to #1010 Iron Leaves

Currently I have crocheted way more Pokemon in the first half, so that side looks much fuller. I'm not sure when I'll be up to crocheting anything more, probably not anytime soon, I'm still considering this on hiatus, but I thought it would be nice to share the updated display.

[strawberrycouture]

Discover the Magic Mobius Crochet Patterns

Unlock your creativity with the Magic Mobius Crochet Patterns. These unique and stylish designs are perfect for crochet enthusiasts like you, looking to create something truly special.

Benefits and Uses

With these patterns, you can craft beautiful scarves, shawls, and other accessories. The mobius twist adds a creative and eye-catching element to your projects, making them stand out.

Who They're For

These patterns are designed for intermediate to advanced crocheters who enjoy challenging and innovative designs. If you're looking to expand your crochet skills, these patterns are for you.

Materials and Stitches

To get started, you'll need specific yarn types and crochet hooks. The patterns use basic stitches and the unique mobius twist technique to create their distinctive look.

How to Get Them

You can purchase and download the Magic Mobius Crochet Patterns instantly on Etsy. It's easy and convenient, so you can start your projects right away.

Explore More

Don't forget to check out our other patterns! Visit my Etsy shop of mobius designs and website for more unique and creative crochet designs.

Feel free to adjust any part of this summary to better fit your needs.

Watch the full tutorial on YouTube: Master the Art of Mobius Crochet

[dramatic-dolphin]

if you knit or crochet you need to know math. "oh, because you have to count the stitches?" you'd think so wouldn't you. well it's actually because sometimes the yarn gets so messed up you can't untangle it without becoming an expert in the field of topology

[gallusrostromegalus]

Hello gallus,

You mentioned liking topological crafts so I have a gift for you :)

The following link directs to a momath Workshop pdf: https://momath.org/wp-content/uploads/2024/05/MoMath-Workshop-Topological-Crochet.pdf

I ran a version of this with the Maths Craft Club at my uni and we had great fun. Hope you enjoy it too!

Wince

OOOOH. I can't crochet but my mom will LOVE this shit.

[thingsiwannareblog]

Having chronic illness is such bullshit. Today I am exhausted, aching, and having chills because I overdid it yesterday.

You know what I did yesterday that was so over ambitious?

I thought really hard about how knitting works.

Yup. I knit a few rows, crocheted a few rows, and mentally - MENTALLY - sketched out the path that the yarn takes in each method and thought deeply in 3D about the topology of each method and how they’re different and similar.

And apparently that was too much, because I’m having a flare up and PEM today. FML.

[thezombieprostitute]

Random ask: How did you get into crocheting?

I remember trying and failing when I was little. Great-grandma was really good at crochet but not at all good at teaching it and the books weren't really helpful.

I was working my current job (math librarian) when a book came across my desk. I think it was titled Crocheting Adventures with Hyperbolic Planes. I remember looking at the pictures and thinking, "this looks so amazing! Maybe I should give it another try."

I'm still nowhere near good enough to try some of those topological patterns but I am hooked on the hobby. 🤭

[boycritter]

hi please tell me all your little freak thoughts about crochet knot theory/topology/whatever it is you do /pos

THIS IS THE BEST ASK IVE EVER GOTTEN <3

okay umm so one challenge we have run into with crochet is that theres no like . standardized way to crochet. yeah theres a general way you do each stitch but people do different things in terms of which way to pull the yarn, going under or over, etc etc

the way i do my slip stitch and the way another person on the project did a slip stitch are different, and we would get different knots when connecting up the ends of the yarn. we decided to go with the method that made it a 0-crossing knot so we had a nicer trivial case (trivial case = simplest possible)

so far we have not gotten very far in terms of math stuff with anything beyond just. chains. but it has been very interesting !!! if you do a slip stitch and then pull your yarn through the slip stitch under -> over, then connect the ends, it makes a different knot than if you pull your yarn over -> under !!!! which is pretty cool!!

and knot theory is great and its so fun i get to play with my tuoys AND do math about it

i helped write a proof for the unknotting number of any n-chainstitch!! (we call it a chainstitch instead of just a chain bc chains are already a different thing in topology (n = number of chains)) basically meaning how many crossings do you need to change (flip which strand is on top) to get something from being not the unknot to being the unknot :3

[birnensaft]

a math museum gives fancy crochet classes but they are too late for me due to timezone😭

and with a membership one can view all old videos and they taunt me with tax deducability but i cannot deduct any money given into the us like this afaik

otherwise i just have to pay for the videos

[bakingmoomins]

just got an email from momath inviting me to a topological crochet event in person and I've never wanted to be in new york more than that

[craft-y-llama]

Another topological crochet project, with Shiying Dong's topological crochet method. (Got a couple requests to link a pattern for my previous post of one of her designs, but https://www.youtube.com/@epimono is all I've got! It doesn't have the four interlocking triangles/circles but it does have this saddle trefoil knot design.)

[davidcarlton]

Are you a topologist who’s keen to make an interesting mapping cylinder, a geometer who likes to see a beautiful surface spanning in space, a polyhedra worshipper, a knotter tyer who would love to expand your portfolio?  Maybe you are a crocheter in search of a novelty project, or a fan of Bathsheba Grossman, Charles Perry, and Brent Collins and would love to make small models of their work by yourself?  If you answered “yes” to any of those questions, or if you just want to crochet some interesting and beautiful mathematical surfaces, topological crochet is perfect for you!

Online Topological Crochet – National Museum of Mathematics

[its-no-biggie]

OMG ive been summoned!!! okay okay lets see

first off. getting this one out of the way. i havent voted yet but i swear to god if calculus is winning right now im gonna be /pissed/ (not really lmao). not because its BAD or anything, i enjoyed learning about it, but its sooooo overhyped as The Hard One when conceptually its not even that interesting. wooaahhhhh find the area under a curve!! revolutionary!! like yeah the calculations are long and often difficult ESPECIALLY once you get into multivariable calculus but like. it gets way too much hype for what it is.

im tempted to vote algebra for how foundational it is but thats a boring answer. same with functions and relations. im also not voting for trig because i tutor high schoolers and im sick of it tbh. its basically just geometry a little to the left anyway.

ok at first i kinda skipped over geometry but you know what. thats a little unfair. euclidean geometry is generally very boring but higher dimensional geometry? hyperbolic or circular geometry???? where would we be as a society without klein bottles and mobius strips and hyper cubes and hyperbolic crochet. anyway if youre reading this you need to play hyperbolica its a simple puzzle game a la portal but instead of thinking with portals you have to think in hyperbolic space. where space has more. space. everything looks a little distorted and it totally fucks your spatial awareness its so fun. even something as simple as a maze becomes difficult because when you turn left 4 times you DONT end up where you started and it just doesnt compute in your brain. also the npcs are little robot guys and its so cute and charming. 10/10 excellent game. anyway yeah im not voting for geometry because a lot of it is boring but it does have its moments!

i went to university for statistics (well. technically actuarial science but its pretty much the same thing) so im a bit biased towards it. but its definitely the most useful kind of math for the average person to understand (aside from basic algebra) but its also like. really wild that it works?? that you can collect a big chunk of data and then determine correlations between variables with a high degree of accuracy. its basically the antithesis of what people think of math (rules and hard logic and one correct answer) but its still so rigorous and useful and so so important to understand

but more than statistics i am a huge fan of matrix theory. i really love matrix operations theyre SO SATISFYING and just really fun to do. especially when you apply them to linear algebra and solve a really messy system of equations that cant even be conceptualized on a graph.... augh its great. and its also one of the few kinds of math that i learned with a bunch of different number systems pretty much right away (bc its related to cryptography so using binary or mod 5 or whatever is actually useful) and that was really refreshing!! i love using different number systems. im not sure why its grouped together with set theory but i do also like set theory, its really fundamental like algebra (although its not nearly as well taught as algebra) and a lot of the operations are really unique so it kinda opens up what math is when you start learning about it. and of course there are a lot of number sets that i really like but that doesnt really have to do with set theory itself lmao

ANYWAY i think im gonna vote matrix theory. theres a few really interesting ones that arent listed here like game theory (ever heard of the prisoners dilemma?), topology (did you know that a mug is the same as a donut? also a straw definitively has one hole), and graph theory (i dont know that much about graph theory tbh i just think it looks really cool), but i really love matrices. i mean come on like

that rules. objectively that rules

[unidentifiedfuckingthing]

crochet patterns itch my brain so good because its like the exact same thing as 3d topology. like im like making the intj face imagining the wireframe overlaid on pictures of crochet amigurumis like yes..... trivial..........

[nikitafiber]

Non-Woven structures introduction post

"Unwanted theft", Final studio project in Fall 2022 in fabric surface design. I was influenced by the artist research of Lavanya Mani. She uses the traditional Indian fabric design of Kalamkari in a modern way that provides social commentary on relevant issues that plague our society. Using this foundation, I built upon this by using the same kalamkari process, that involves natural fabric processing and the exclusive use of natural dyes. I am the most proud of this work, I dedicated a lot of time and effort into it and was very happy with the result. My design strives to show the importance of reproductive rights on our society. Women's health has been neglected within our society, with certain important rights being taken away or restricted. Specifically, I wanted to show the detrimental effects that result from rights being revoked. Here, there is a colorful planet, a dark force from above is taking away a uterus from the planet on one side, but on the other there is dead tree that emerges from the planet. Symbolizing that by taking away basic reproductive rights, the happiness and colorfulness that remain within society are shifting to more barren world.

Made with pens and paper.

I made these together this past summer. They are also pen or sharpie on printer paper. I did laminate them to preserve their integrity. These are all different space landscapes.

Repost from last semester but I am very satisfied with my crochet bag. I also made this, this past summer. I did replace the button with a bigger, more functional button. This one was too small so the button loop that I stitched would not stay on the small button since the loop was too big. The bigger button works much better, and thus the bag remains secure.

An artist that I am interested in right now is Rafael Lozano-Hemmer

I saw an exhibition of his at SuperBlue in Miami over the most recent winter break.

This installation was composed of 3,000 light bulbs that formed in crests and valleys and three pulse sensors. Titled, pulse topology. Topology is the study of geometric properties and spatial relations that are not affected by a change in shape or size of an object. So, a geometric object is preserved under continuous deformation.

Pulses are translated into a sound and light that is reflected in one of the 3,000 light bulbs in real time and added as a recording. Each bulb flickers at a different rate since each stores different data based on the most recent pulse readings. Therefore the new readings replace the older ones for upto 3,000 at one time.

Bulbs in action!!

[sky-squido]

I JUST INVENTED THE GREATEST FIDGET TOY IN HUMAN HISTORY

I CROCHETED A MÖBIUS STRIP

soft, silent, fidgety heaven. just crochet a chain, make it a circle, and then when you go to spiral around to make a normal tube, just frick it up by putting a twist into it and then continue as normal and you'll find yourself building this adorable little freak of topology <3