This blanket was created when my first child was about to go to college and wanted a Sierpinski Triangle blanket. I had never created a pattern before, but, foolishly, I thought I might be able to figure this out. 6 months later, after several false starts, I figured out the chart for the blanket and began knitting. A year later, I finally finished. The blanket was not perfect. The triangles were too wide to lie flat when seamed together. As my child puts it, it has Gaussian curvature.

But since, at the present moment, there is no other pattern out there for such a blanket, I decided to publish what I have, and hope that it helps others.

This pattern uses the technique of double knitting to create a piece of fabric with two colors. Each side “mirrors” the other in that the colors are reversed. I used this technique to avoid having to carry yarn long distances and to give extra weight to the blanket. This pattern assumes familiarity with the technique.

Materials:
Heavy worsted weight yarn: 1600 yds for 3 ft diameter blanket, 3300 yards for 6 ft diameter blanket

For the larger size, each triangle took about 270 yards each of two colors for 5 iterations of the fractal. Plan accordingly, allowing extra for seaming at the end and if you want to add a border. You can lessen the amount of yarn by doing less iterations of the fractal. Each iteration uses an exponential amount of yarn.

I would suggest buy more than you think you will need or plan alternate yarns for seaming and borders, just in case. I didn’t do a border and found that I used about 30 yards each of two colors for the seaming.

Tools:
US size 9, with a 40 inch cable.
5.5 mm crochet hook.
Darning needle for sewing in ends

Gauge:
14 sts by 19 rows = 4 inches, after aggressive steam blocking. Most of my blocking was focused on height not width.