Case in point is Mark E. Shoulson's site with homemade topological shapes- intriguing yet not visually quite there yet: web.meson.org/topology/
However,
one can find wonderful knit versions of all sorts of mathematical topologies, including the moibus strip (which I am already, sadly, a MASTER at making myself) here at: www.toroidalsnark.net/mathknit.html,
which Sarah-Marie calls"The Home of Mathmatical knitting"!
How great is that????
she is coming out with a very exciting new book, in December 2007- truly a great holiday gift idea for those hard-to-shop-for knitters:
Making Mathematics with Needlework Ten Papers and Ten Projects
by sarah-marie belcastro (Editor), Carolyn Yackel (Editor)
Price: $30.00 Availability: Not yet published.Expected release: December 2007 You may preorder this item.
here is the site for ordering the book:www.akpeters.com/product.asp?ProdCode=3318
All of this("research"? "time-wasting"?) is a spin-off of my attempting to make this giant ammonite pillow(as shown in the previous posting below). I have ambitions to make a large, more tall version using the Fibonacci series and some very thick grey yarn I have my eye on at Yarntopia (http://yarntopianyc.com/)
See picture of coveted object above, and imagine
This, in turn goes with my yearning to make a series of all-knit Platonic solids.
It certainly is humbling to look at the organizational beauty and total appropriateness of the geometry in the natural world, and there IS something appealing about the idea that the world can be broken down into lovely sets of digits....
Much more visually astute than the average mathematician's site, and taking the wonder of knitted geometry into the realm of really inspired children's toys is
My favorites are her more abstract explorations, and I think the knitted tubes toy on the cone base is pure genius- just perfect.
It's a smallish, juggling sized affair.
There are surprisingly few larger sphere patterns on the web...
Hands down my favorite is the football, at Eve's wonderful Needle Exchange site,
found here:
http://needles.guzzlingcakes.com/2006/06/11/world-cup-soccer-ball-knitting-pattern/
which I also intend to have a go at.
Her pattern is elegant and fun and lends itself to all kinds of color variations due to it's star-like construction.
Hat's off!
This "globe" pattern is (jokingly) available on the Lion Brand site:http://cache.lionbrand.com/patterns/Globe.html silly, but witty....
There is also Eric Lancaster's gorgeous and innovative "pillow" (see image below)
at Shibuiknits(http://www.shibuiknits.com/Patterns/Pattern.php?Pattern=15 ,
which is available for online purchase at pure knits:
www.pureknits.com/index.php?main_page=product_info&cPath=66_87&products_id=273
This leads me once more, as all roads seem to these days,
back to the Institute for Figuring's site, and their wonderful slide show of the gallery of Crocheted Hyperbolic Models!
this can be found here:http://www.theiff.org/gallery/index.html#....
It's crochet at it's finest, and makes up for centurys worth of awful doilies and horrible granny-square vests in bicentennial colors...
Please remember:All of the patterns talked about here, shown above, and on the sites linked, are the result of hard work and many hours labour on the part of the designer. Please visit the sites and tell them how wonderful and ingenious they are, and please use the patterns for personal and non-profit use only. A bit of respect for the inventors, please...
What richness!
What Variety!
La Chaim!