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I've been playing with hyperbolic crochet for a while now.

I started first playing with having a hyperbolic surface. The one on the left is just two single crochets in every stitch, very plain, usable as a bead of some sort (perhaps for gifting on the playa). I got mentally stuck on these for a while, then started thinking about how to play with the basic form. The piece on the right is almost the same, but using double crochet, which is much floppier and takes longer to curl. I put a single-crochet edge on it to give it a cleaner look. (Global note: click on the thumbnails for larger versions.)

hyperbolic crochet simple green hyperbolic double crochet



Seeing the greater give with the double crochet made me wonder if I could make something that was half flat and half curly, so on one side of the circle, I increased just enough to keep it flat, while the other side I doubled each stitch (again with a single crochet border; I like how the red and gray work together).

half hyperbolic crochet



Next I wondered what would happen if I added an 'arm' on the basic circle, incorporating that into the base shape. Turns out that they get incorporated into the mass fairly quickly, so it's hard to see that there's anything different than the usual brain coral. The one on the left has two 'arms' on one side, while the one on the right has at least six 'arms,' but at least one more row after they were added, which makes them fairly invisible. I might try again with much longer arms, however.

green crochet with two arms yellow on green brain coral



The arms looked so likely to be interesting when adding them to the base that I got the idea to make ones like cilia around the edge of a lightly hyperbolic circle (which is to say, it increases more than necessary to stay in the plane, but less than my usual two stitches in each stitch). I got the cilia to curl by putting two stitches in each stitch, which is much more interesting than straighter ones, especially because it gives them a bit more body/rigidity. I was watching some episodes of Mary Jane Adventures while working on part of this, which is partly why I call this one "red medusa" (top view on the left, side view on the right).

red medusa red medusa side view



All of these have used a circle as a base. I tried something similar to red medusa, using a line segment as the base instead, which generated this gray amoeba (top view on the left, side view on the right).

gray amoeba gray amoeba side view



The other thing I wondered about was what it would look like if I had cilia not just from the edges, but from the last couple of rows. Instead of incorporating them along the edge when I crocheted the next, as with the arms above, I put them in front and continued along behind. I put cilia on the last couple of gray rows, and in the red edge row. Given red medusa above, this one's definitely an aging medusa :-) (top view on left, side view on right, upside down view below, which shows the base shape more clearly).

aging medusa aging medusa side view
aging medusa upside dow

That's really fascinating.

Date: 2009-05-13 02:58 pm (UTC)
From: [identity profile] avivasedai.livejournal.com
Both as art, skill, and brain coral. }:->

Re: That's really fascinating.

Date: 2009-05-13 03:06 pm (UTC)
From: [identity profile] magid.livejournal.com
Thanks!

It's a bit less rote than making another zillion kippot :-)

Re: That's really fascinating.

Date: 2009-05-13 03:12 pm (UTC)
From: [identity profile] avivasedai.livejournal.com
I'll start with the kippot. Can one knit kippot? I guess I would need really small needles, and/or teeny circulars.

Re: That's really fascinating.

Date: 2009-05-13 03:17 pm (UTC)
From: [identity profile] magid.livejournal.com
I'm not really a knitter (casting on and off were never intuitive in the way crochet is to me), so I'm not sure. I'd think it would be possible, but don't have more info. I think of circulars being for cylinders, whether of varying or constant radius, rather than making what's closer to part of a surface of a sphere, though.

Re: That's really fascinating.

Date: 2009-05-13 03:22 pm (UTC)
From: [identity profile] fetteredwolf.livejournal.com

Not the same look as the more traditional crocheted kippot, but here you go!
(http://www.geocities.com/jbtocker/patterns/knitkipp.html)

Date: 2009-05-13 03:25 pm (UTC)
From: [identity profile] fetteredwolf.livejournal.com
One day I'll come by with a crochet hook and some yarn and you'll teach me how to crochet. I think I'll pick it up fairly quickly. In return, I'll just have to knit you something.

Date: 2009-05-13 03:27 pm (UTC)
From: [identity profile] magid.livejournal.com
That would be excellent!

I admit I'm better at crocheting in the round than rectangles, but I suspect rectangles are easier/faster when knitting, anyway.

Date: 2009-05-14 01:34 pm (UTC)

Date: 2009-05-15 02:18 pm (UTC)
From: [identity profile] megmuck.livejournal.com
Cool!

Have you seen the knitted brain at the Museum of Science?

m.

Date: 2009-05-15 03:36 pm (UTC)
From: [identity profile] magid.livejournal.com
No, I haven't been to the MoS in far too long :-(. I should check it out!

And I can hope that a crocheted coral reef will come somewhere nearby, so I can check out other people's interesting crochet play, and get inspired for what tangents I can try next :-)

Here's the brain link

Date: 2009-05-15 07:40 pm (UTC)
From: [identity profile] megmuck.livejournal.com
http://www.telegraph.co.uk/news/newstopics/howaboutthat/4245919/Psychiatrist-knits-anatomically-correct-woolly-brain.html

Re: Here's the brain link

Date: 2009-05-15 07:59 pm (UTC)
From: [identity profile] magid.livejournal.com
Wow! Very nice.

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