Number Theory Shawl by Jessica Leiken

Number Theory Shawl

Knitting
December 2020
Worsted (9 wpi) ?
7 stitches and 12 rows = 2 inches
US 7 - 4.5 mm
575 - 625 yards (526 - 572 m)
One Size
English
This pattern is available for $6.00 USD buy it now

This pattern is for a garter-stitch boomerang-shaped shawl. The increase pattern creates a scalloped edge along one side. It can be adapted to be as large as you wish by adding more sections.

The design for this shawl emerged from my fascination with how the spacing of increases can dramatically change the shape of the fabric you are creating. I was also trying to create a shawl that only uses the most basic stitches and techniques. There are no short rows or knit-front-back-front in order to create the shaping, only yarn-overs and knit-two-together. As someone who loves numbers and patterns, I was also looking for a shawl that could be expressed as a mathematical formula.

I have included instructions in three different versions:

  1. By section. This assumes that you can “read your knitting” and count stitches from the yarn-over in the row below.
  2. As an algorithm written for n-sections (for the algebraically inclined).
  3. Row-by-row in detail.

You may find it easier to jump between the different versions as you get more comfortable with the pattern. For example, the row-by-row instructions are useful for checking your stitch count at any time.

Materials and information:

• About 600 yards of worsted weight yarn. Sample A was knitted with 3 skeins of Cascade 220 Superwash Effects (Shown in 11-Dried Flowers). Sample B was knitted with 3 skeins of Berocco Ultra Alpaca (shown in 6336- Arandano).
• Needles size: 7 (4.5 mm) or whatever you need to approximate gauge and a density you prefer
• Gauge after blocking in stockinette: 7 stitches = 2 inches. Exact gauge is not essential – swatch and block so you get a fabric that drapes well and feels cozy.
• Finished size is approximately 56” wide and 28” long at the triangle point.