I'm a mathematician, and I think your video will help me make some hyperbolic models in the future. So thank you for that. also, the only mistake that I seen your video is where you say that parallel lines intersect. No, the parallel lines in hyperbolic space don't intersect but diverge. this means if you have a point and a line, then there are infinitely many lines that are parallel to the 1st line and go through that point.
If they diverge from a point, they intersect at that point. That should be obvious to even the most dimwitted individual with an advanced degree in hyperbolic topology.
@@ZeroOskul _"If they diverge from a point, they intersect at that point. That should be obvious to even the most dimwitted individual "_ You're wrong because 1) it's debateable that you can't "diverge from a point" because diverge implies 2 things are continuing side by side & then they move away from each other, BUT 2) if we accept you *can* diverge from a point, then it follows that this straight line diverges from this point • _____________________________________________________________ because if we can draw the line for 100 miles, the longer it gets, the more it moves away from the point. The separation increases so the line "diverges from the point". But they never intersect thus your claim is wrong. BTW why are you trying to hurt people with playground insults? It's childish behaviour.
@@alwaysdisputin9930 The quote from the Simpson's, referring to even the most dimwitted individual WITH AN ADVANCED DEGREE IN HYPERBOLIC TOPOLOGY, actually refers to a genius. It's internally conflicted and so: funny. Capital letters emphasize what you so playfully removed so you could pretend blindly to accuse. If your forearm and bicep diverge from your elbow, they also intersect there. If north and south X street and east and west Y street diverge from the intersection of X and Y streets, then they also intersect there.
@@ZeroOskul 99% of people don't memorise a lot of Simpsons quotes so you need make it clear it's a quote or you'll just look like 1 of the many childish people in the YT comments who use stupid playground insults. Ok so you say that the line is divulging from a point. Really the OP is talking about parallel lines. In Euclidean space i.e. flat space, parallel lines always stay the same width apart like this | | In hyperbolic space, they diverge ) ( On Earth's surface, parallel lines converge () so if we both walk north we will converge & meet at the North pole The bit I don't really get is how you can have in hyperbolic space, parallel lines all going through the same point However, I think the OP is right because hyperbolic space is weird like that.
I loved your video - I have made over a hundred hyperbolic crochet forms and even taught a workshop in making them, but I would recommend your video to anyone who had a bit of previous crochet experience. I enjoyed your pace, but then I have experience, a newbie might have to replay bits. You have a pleasant voice and great hands, camera work could be improved with better lighting and framing, but it really didn't bother me. I think you convey the delight of hyperbolic crochet very well.
so i moved to Lakewood Colorado last year and so did not know that Denver Museum had a textile art exhibit let alone a hyperbolic crochet coral project. learned more than I was expecting
The textile exhibit is going away soon since they are remodeling the north building, and the coral exhibit was gone just a little while after I filmed this. Check out the textile room on the 4th floor of the North building before October 8th 2017!
*In elliptical space, (a sphere) there are no parallel lines because all lines on the surface of a sphere will intersect. In Euclidean space, (just a normal flat piece of paper) There is exactly one line that passes through a point not on a line which doesn't intersect it. In hyperbolic space, There are an infinite number of lines which pass through a point not on a line which don't intersect that line.
I have some pieces I created not knowing the hyperbolic concept. I have a knitted round bag that I increased just as in crochet. Do you think that follows the rule of hyperbolic. shaping. I have always liked to increase and curl up the crochet so I tried it with knitting. I felted one piece. I wonder if there is a way I can show this to someone or post it> Id like an opinion. Thank you.
Martha Nelson Hi Martha! It's the same concept in knitting as crochet, but in knitting you generally get a less dense fabric than crochet. If you'd like to post photos to my fb page I'd be happy to see them!
At 6:18 I think that’s where it’s at. Looks a lot like a meat coral I’m trying to make as a preset for my dad. I didn’t catch if you explained how to make it in this. But if you can I’d greatly appreciate how you made it
Hi there, I started with I think about 8 stitches in a circle, and then increased in every stitch for a few rows, and then did single crochet for a couple rounds, and then started decreasing in every round until it was mirrored. Sorry I couldn't be more descriptive... this was 7 years ago haha!
Less talking and more to the subject.....took about eight minutes to get to the first stitch......not all netters have unlimited data space in the cloud........
Karen Cloney hyperbolic crochet art is a freeform of adding stitches whereever you want. it is like math passed chaos theory in the hallway and developed a little crush. most patterns dont refer to it as hyperbolic crochet but they have many patterns. almost all things curvy or wavy in crochet are applying the principles of this technique
Thank you so much, you’ve explained this technique so well to a novice. 😊
Glad it was helpful! It's one of my favorite topics in crochet!
Thanks for this video. I was looking for instructions for hyperbolic crochet and this was the easiest instruction to follow.
Wonderful! Glad you found it helpful!
Great video, this will keep my hands busy in the making ☺️
Thank you 🙏
You’re welcome 😊
I'm a mathematician, and I think your video will help me make some hyperbolic models in the future. So thank you for that. also, the only mistake that I seen your video is where you say that parallel lines intersect. No, the parallel lines in hyperbolic space don't intersect but diverge. this means if you have a point and a line, then there are infinitely many lines that are parallel to the 1st line and go through that point.
If they diverge from a point, they intersect at that point.
That should be obvious to even the most dimwitted individual with an advanced degree in hyperbolic topology.
@@ZeroOskul _"If they diverge from a point, they intersect at that point. That should be obvious to even the most dimwitted individual "_
You're wrong because 1) it's debateable that you can't "diverge from a point" because diverge implies 2 things are continuing side by side & then they move away from each other,
BUT 2) if we accept you *can* diverge from a point, then it follows that this straight line diverges from this point
•
_____________________________________________________________
because if we can draw the line for 100 miles, the longer it gets, the more it moves away from the point. The separation increases so the line "diverges from the point". But they never intersect thus your claim is wrong.
BTW why are you trying to hurt people with playground insults? It's childish behaviour.
@@alwaysdisputin9930 The quote from the Simpson's, referring to even the most dimwitted individual WITH AN ADVANCED DEGREE IN HYPERBOLIC TOPOLOGY, actually refers to a genius. It's internally conflicted and so: funny.
Capital letters emphasize what you so playfully removed so you could pretend blindly to accuse.
If your forearm and bicep diverge from your elbow, they also intersect there.
If north and south X street and east and west Y street diverge from the intersection of X and Y streets, then they also intersect there.
@@ZeroOskul 99% of people don't memorise a lot of Simpsons quotes so you need make it clear it's a quote or you'll just look like 1 of the many childish people in the YT comments who use stupid playground insults.
Ok so you say that the line is divulging from a point.
Really the OP is talking about parallel lines.
In Euclidean space i.e. flat space, parallel lines always stay the same width apart like this | |
In hyperbolic space, they diverge ) (
On Earth's surface, parallel lines converge () so if we both walk north we will converge & meet at the North pole
The bit I don't really get is how you can have in hyperbolic space, parallel lines all going through the same point
However, I think the OP is right because hyperbolic space is weird like that.
Learned something new today. Thank you!
Arrietta Karvonen so glad! Thanks for watching!
I loved your video - I have made over a hundred hyperbolic crochet forms and even taught a workshop in making them, but I would recommend your video to anyone who had a bit of previous crochet experience. I enjoyed your pace, but then I have experience, a newbie might have to replay bits. You have a pleasant voice and great hands, camera work could be improved with better lighting and framing, but it really didn't bother me. I think you convey the delight of hyperbolic crochet very well.
Thanks! I've learned a lot since making this video ;) Glad you enjoyed though!
fantastic ! you give me new ideas. thank you for this tuto.
Hi! I have just come across this amazing video and have just finished my very own coral! Super exited! Thank you!!! (25, M, Cape Town, South Africa)
This is so neat!
so i moved to Lakewood Colorado last year and so did not know that Denver Museum had a textile art exhibit let alone a hyperbolic crochet coral project. learned more than I was expecting
The textile exhibit is going away soon since they are remodeling the north building, and the coral exhibit was gone just a little while after I filmed this. Check out the textile room on the 4th floor of the North building before October 8th 2017!
Very intriguing... will add it to my 'Lockdown' list! 🐱
I love math and crochet so thank you for this sir 💙💙💙💙
You're welcome! So glad you enjoyed the video :)
*In elliptical space, (a sphere) there are no parallel lines because all lines on the surface of a sphere will intersect. In Euclidean space, (just a normal flat piece of paper) There is exactly one line that passes through a point not on a line which doesn't intersect it. In hyperbolic space, There are an infinite number of lines which pass through a point not on a line which don't intersect that line.
@ 2:27-2:43
Great video, very interesting and inspiring. I can't wait to have a go at this!
I think this would make cool edging for a pillow or blanket
Thankyou!❤
You're welcome 😊
Skip to 8:40 if you just came from the TED talk about the crochet coral reef, he starts the tutorial around there
Thanks! I've added this note to the description due to your feedback.
when I was very young, this was me trying to make a tam :o)
I think that would be way fun!
I live in Colorado too! :)
Very awesome. Thanks for the lesson. God bless you.
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I have some pieces I created not knowing the hyperbolic concept. I have a knitted round bag that I increased just as in crochet. Do you think that follows the rule of hyperbolic. shaping. I have always liked to increase and curl up the crochet so I tried it with knitting. I felted one piece. I wonder if there is a way I can show this to someone or post it> Id like an opinion. Thank you.
Martha Nelson Hi Martha! It's the same concept in knitting as crochet, but in knitting you generally get a less dense fabric than crochet. If you'd like to post photos to my fb page I'd be happy to see them!
Sorry! Towards the end I get it closer. I can take a photo as well and post it on my facebook page.
At 6:18 I think that’s where it’s at. Looks a lot like a meat coral I’m trying to make as a preset for my dad. I didn’t catch if you explained how to make it in this. But if you can I’d greatly appreciate how you made it
Hi there, I started with I think about 8 stitches in a circle, and then increased in every stitch for a few rows, and then did single crochet for a couple rounds, and then started decreasing in every round until it was mirrored. Sorry I couldn't be more descriptive... this was 7 years ago haha!
Benjamin Krudwig thank you so much! That was super helpful and I can go from there. Thank you again for replying so fast! :)
Como se enrrolla no empieza a explicarlo hasta el minuta 10
I cant´t see you project, more close
good tutorial but not exceptional due to poor lighting
Patti Wilson thanks for your feedback, and thank you for watching my free tutorial.
Patti Wilson oo
Less talking and more to the subject.....took about eight minutes to get to the first stitch......not all netters have unlimited data space in the cloud........
Thanks for the feedback! With your suggestion and other viewers, I've mentioned in the description where the tutorial starts.
Zoom please
Thanks for the feedback! I've learned a lot since filming these first tutorials. :)
Less talk ,,, more directions
Karen Cloney hyperbolic crochet art is a freeform of adding stitches whereever you want. it is like math passed chaos theory in the hallway and developed a little crush. most patterns dont refer to it as hyperbolic crochet but they have many patterns. almost all things curvy or wavy in crochet are applying the principles of this technique