April 21, 2004

Penrose

When I am knitting away on something rather elementary and boring like seed stitch, as I was doing last night while working on Mist, my survival instinct kicks in, making my mind very active until there is not the least bit of something to think about any more.

How many of you have heard from your non-knitting friends "I just don't have the patience to do that?" It has little to do with patience in my book, and more to do with living inside your head. What follows is an example of this.

Seed stitch. Knit, purl, knit, purl, knit, purl, knit, purl... I wonder who named it seed stitch. It does look like little seed pearls arranged precisely. I wonder if anyone has knit seed pearls into stockinette and called it seed pearl stitch. With this many seeds you would think something would eventually sprout. I wonder what it would be. This is purple... maybe indigo plants? But I suppose that would be called Sprout Stitch. I wonder what sprout stitch would look like.

Why is this named Mist, anyway? Is the mist asymmetrical with uneven hems? I think not. Maybe it was just a mist-ake. Heehee. And actually "they" call it moss stitch, which it isn't, but you know the British. They like to be different than the rest of the world, drive on the wrong side of the road and all that. Anyway, why is moss stitch called moss stitch? I've never seen moss that looks like that. Moss stitch should be long and misshapen and fuzzy.

Wouldn't it be fun if someone designed a fair isle something that represented a lot of these stitches with what their names suggest rather than how the stitch is rendered? Seed stitch could be rows of watermelon seeds, moss stitch is obvious. Feather and fan would be especially fun, feathers and fans intermingled in some Starmorial relationship with unlikely colors. Ooo, ooo-- fluted rib! Can you imagine a rack of barbecued ribs served with a topping of flutes? And how about trinity stitch? How does one portray the father, son and holy ghost in fair isle? Brioche! That would be enough to spoil a diet.

Scary, huh?

I told you that on Sunday I read The DaVinci Code. Well, that got me to thinking about Phi, the golden ratio, 1.618. I moved my lazy fingers enough to look up some info on it. GoldenNumber.net is really interesting and discusses Phi's relationship to the Fibonacci series, art, architecture, and color. Check out the really cool Phi Bar app under the color link.

I eventually descended upon the Penrose tiling and discovered Stephen Collins application, called "Bob" that generates Penrose tiling. Using only two rhombus shapes, tessellations are made that do not repeat and can never fill a specified area completely. If you have known me long, you have guessed the leap I took (a small one): Figure out how to knit these two diamonds, and put together some very interesting...er... articles. I'd think that an irregularly shaped afghan or table mat would be wow!

Here's an example of a Penrose tessellation generated by Bob:

penrose.gif

Isn't that a cool shape overall? I think I could find animals in there.

Then I thought about how I would apply color. Mostly you see the tessellations in two colors like this:

penrose2color.gif

But that gets boring after a while. I decided to see what I would get if I started with two colors, used the Phi Bar to get the next color for the shape that lies between my first two colors, and keep doing that to get my next colors. It takes a long time, but here is the result of a few colorings. I think it is very exciting.

colorpenrose.gif

Now I need my swatch slave to figure out how to make
1. A diamond with sides of equal length and inner angles of 72º and 108º
2. A diamond with sides of equal length and inner angles of 36º and 144º

I did the first one but it looks dorky, the decreases and increases are ragged. I then tried to use domino knitting techniques and failed miserably.

Enough from me. More knitting photos tomorrow. Dragonfly is progressing as well as Ballerina and of course Mist.

Posted by Sheila at April 21, 2004 09:55 AM | TrackBack
Comments

The young man in residence (he of the moebius cribbage board) was regaling me with his method of descibing cubes with his hands and the adventure he had tracking down triangular minesweeper, as I attempted to read today's entry.

I'm calling *him* over now to read today's entry while I caffinate myself.

Posted by: Felina Schwarz on April 21, 2004 10:45 AM

Wow. This reminds me so much of the Altair Design coloring books I had as a kid (in the seventies.) Ever hear of those? Maybe your own kids had them? They consisted of pages and pages of these tiny little tesselated designs, which I would meticulously color in (and invariably screw up.) I LOVED those books! And my Spirograph too, but that's for another post. ;-)

Posted by: Beth S. on April 21, 2004 01:41 PM

I think that shape looks like it would make a very interesting shawl. If you didn't do it in color, maybe in lace patterns. Would a variation on entrelac technique give you this?

Posted by: Charlotte on April 21, 2004 02:30 PM

Yes! I do remember those coloring books now that you mention them, but I didn't pay attention to what their names were back then. What a great memory you have.

Cat, a shawl is an excellent idea, it's so perfect. Or a poncho, if you did two of these shapes-- there seems to be a natural neck opening there on the left side and those dripping-down diamonds would be really cool. It's been a while since I did entrelac so I don't really know how to go about seeing if it could be altered a bit to produce these shapes, but you're right, it does seem a natural candidate. Maybe Stephanie over there in Yarn Harlot land, who is working on entrelac socks as we blog, might provide us with a clue...

Posted by: Sheila on April 21, 2004 02:45 PM

Ooh - never saw the PhiBar before. Must explore. I love the multicolor tesselation, but this might be a better quilting project than knitting project.

BTW, Mist was a travel project for me (that is, it travelled around Scotland and Ireland with me in 2000) - it was nice to have something to pull out and just knit mindlessly on in the evening with the wee dram, etc. But then it took me about 2-3 years to get around to sewing it together!

Posted by: Katie on April 21, 2004 04:09 PM

Seems you got over cranky, or is it just that you are avoiding everything and thus was born the tessellations. Have you considered medication for the split, but very personable, personalities? Or does Granny Nanny have some home "brew" that takes care of it.

Posted by: Chris on April 21, 2004 07:01 PM

Quit it you guys - you're scaring me. :-) I just wanna see some more pics of dragonfly and the puppy. Sherlock is the only dog I've ever seen that made me consider becoming a dog person.

xo

L.

Posted by: Lolly on April 21, 2004 11:46 PM

If you ever work out how to knit those rhombi, let me know (and I'll do likewise). I've been trying this off and on for a while now.

In the meantime, have you seen this site?

http://www.woollythoughts.com/afghans/penrose.html

They have an afghan/rug made out of Penrose tiles - very cool!

Posted by: Robbyn on April 22, 2004 07:07 AM

Frank Stella. Definitely. I think you could just make some felted squares, cut out the shapes and put them all together with duct tape. And hang it on the wall.

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