Want a quick and satisfying project? This hat and mittens will do the trick! Together, they use no more than 90 yds/80 m in the main color and no more than 75 yds/65 m in the contrast color. Each of the hat and the mittens patterns is available separately.

The Sublimation Socks eBook includes three different gauges (6 st./in. by 8 rows/in., 7 st./in. by 10 rows/in., and 8 st./in. by 12 rows/in.) of one sock pattern, each in three different sizes (small, medium, large). That’s three gauges of the pattern for less than the price of two! You should purchase this eBook if you plan to make sublimation socks in multiple gauges. Otherwise, swatch and choose the pattern that most closely matches your row gauge. (And if you change your mind, you can upgrade from a single pattern to the eBook for the difference in price---$3.)

When one travels to Japan, it is customary to bring presents to one’s hosts and to professional contacts. A family member, while preparing for a two-week collaboration visit, reminded me that the Japanese collaborator had a 14-month-old baby (named Chisaki). I am acquainted with both of Chisaki’s parents, so thought I’d better whip out a hat to...

This reversible scarf began as an attempt to use up the partial skeins of Lopi that remained after making two-color owl mittens and a matching owl hat for my dad. (And sadly, there were still a few yards of yarn left after making the scarf!) I quickly realized that many lovely variants are possible, by using different weights of yarn, by using ...

V’Ann Cornelius was an excellent origamist. She wrote Don’t Need Mommy for This Origami!, a book whose title was long overdue, designed an amazing triangular box for transporting slices of cake (and numerous other boxes), and designed many plinths for origami display. She worked at the Mingei Museum in San Francisco, was on the board of directo...

These scarves are long and skinny, and from a distance look ordinary, but they are mysterious to anyone who looks at them closely. The pattern is a byproduct of a cowl pattern that was inspired by a diagram in a textbook. Mathematically, they are made by extruding a to a sort of three-finned thing. …By the way, the pattern name is pronounced “Y...

Babyrain Hatbow: a baby hat (seen at the bank)

Back in the day, I wrote a pattern for a plain torus that appears in Making Mathematics with Needlework. This is a variant on that pattern—it has a cable, much like frosting on a doughnut—and it is an updated version of that pattern, because this pattern includes more effective short-row techniques and links to grafting tutorials.

For several years I took an intercollege bus a few times each week, and had to stand at the side of the road waiting for it to arrive. My previous fingerless mitts were short and left a gap between my wrist and my coat sleeve when I knit. Thus, I needed a new pair of mitts. But I wanted them to be simple, yet interesting, and despite the many m...

Several years ago I found a bracelet in the shape of a mathematical knot to present to one of my collaborators. Some months back it suddenly occurred to me that one could knit such a thing, but that it would be better as a necklace. There you have it! This pattern includes instructions for four different knotclaces.

I was involved in a swap. My target said, in response to the swap questionnaire, “No allergies, and the stuff I really dislike is not a likely candidate for a swap. (Who would send okra?)”

My friend Laura wanted to knit a hat that was essentially a giant sock to put on her head. (Or, rather, the head of her sweet baboo.) She thought she’d seen such a pattern on Ravelry, but could not find one. So I decided to save her by writing the pattern she needed. The Sock Hat can be made in a variety of different yarns of different gauges, ...

The metacarpals are the bones in the palm/back of your hands. And that’s the part of the body these mitts cover! My dad and I both have cold hands all the time, so I made us matching handwarmers. He has larger hands than I do; thus, this pattern comes in two sizes (made by using yarn in two different gauges).

This rectangular scarf is as much a mathematical exercise as anything else: what does it look like when you have two different types of striping (one in texture, one in color) progressing with two different repeats?

Sometimes yarn is a bit busy for a complicated stitch pattern, but one doesn’t want to knit a completely plain sock. (Or sometimes an intended recipient won’t accept a complicated stitch pattern…) Completely plain socks sometimes aren’t as snug to the feet as one would like. Thus, this pattern: almost plain, but not quite.

Want a quick and satisfying project? This hat will do the trick! It also doesn’t use much yarn---the hat uses only 45 yds/40 m in the main color and 35 yds/30 m in the contrast color.

Want a quick and satisfying project? This pair of mittens will do the trick! They also don’t use much yarn---the mittens use only 45 yds/40 m in the main color and 40 yds/ 35 m in the contrast color.

This cowl is actually a mathematical object, and both addictive and quick to knit. (The test knitters said so!). It is a particular generalization of a Mobius band, made by extruding a Y to a sort of three-finned thing, then rotating one end by 1/3 and gluing it to the other end. The schematic at left, fourth image, gives a hint of this shape. ...

These are stripey socks that match stripily in the ankle area, but are otherwise color-mirrored. They are addictively fun to knit and it is easy to keep track of rounds within the pattern---in fact, it is easy to put down your sock-in-progress at almost any point in the pattern and then pick them up again and see quickly where you are. There ar...

Because I couldn’t find a pattern on Ravelry that made just the grapefruit I envisioned, I created my own using Amy Szczepanski’s method of generating a knitting pattern for any surface of revolution (published in her chapter of Crafting by Concepts).

These are stripey socks that match stripily in the ankle area, but are otherwise color-mirrored. They are addictively fun to knit and it is easy to keep track of rounds within the pattern---in fact, it is easy to put down your sock-in-progress at almost any point in the pattern and then pick them up again and see quickly where you are. There ar...

These are stripey socks that match stripily in the ankle area, but are otherwise color-mirrored. They are addictively fun to knit and it is easy to keep track of rounds within the pattern---in fact, it is easy to put down your sock-in-progress at almost any point in the pattern and then pick them up again and see quickly where you are. There ar...

These socks came about because I was knitting socks for Tom; hence, Tomsocks! The pattern is fun to knit and garners compliments even while in progress. The stitch pattern has exciting effects on some variegated sock yarns--try it out!

This is a modified version of the free pattern Tertian by Lara Neel. (Owly Tertian is posted with her permission!) The name of the pattern comes from the fact that a pair of sleeves is about one-third of a sweater; tertian derives from the Latin for “one-third;” and, this pattern basically makes a pair of sleeves.

This pattern makes a… uh… wrap? scarf? stole? shrug? Your result can be any of these garments, or you can add light buttons to make it a convertible wrap-scarf-stole-shrug. It was originally designed as a shrug, but then seemed to make an excellent scarf… and wrap… and stole. The rectangular lace pattern naturally folds at the 1/4 and 3/4 width...

This pattern makes a simple lace shrug that’s perfect to wear when you’re just a little bit chilled. Unlike most shrugs that are knit side-to-side, the lace pattern produces visual vertical lines when worn. When designing it, I was surprised that such a fancy-looking pattern would arise from such simple stitches (of course, isn’t that what lace...

These socks were designed collaboratively with Rachel Shorey in order to display uses of Rachel’s Cool Increase. (A phototutorial for RCI is posted here.) RCI is used structurally in the mathematical heel (you can substitute a different heel if you want) and decoratively in the spiralling motif. Special thing about the heel: it’s done in the ro...

These stretchy handwarmers are an excellent use for a single skein or an extra 2oz. of worsted-weight yarn. The construction is simply a cylinder with a small split. The stitch pattern was designed using a tiny bit of mathematics so the knitter would only need to memorize a 12-stitch sequence but the pattern repeats every three rounds.