Three Ply Fractal Spinning

By Benjamin Krudwig

After my last post on spinning fractal yarn, I wasn't quite happy with the idea. The premise of the technique is sound, but it isn't truly a fractal in the mathematical or scientific sense of the word. A fractal is a pattern that is self-similar, and repeats itself in different scales.

$fractal tree$

Image from a thermodynamics article by Alexei Kurakin.

In the traditional fractal spun yarn, you take a braid of fiber, split it in half lengthwise, spin one half of it as is, then split the second half into 2, 3, or 4 sections and spin those end to end onto another bobbin. Then you ply those bobbins together for a 2-ply yarn. That technique produces a stunning variegated yarn, but doesn't really create a true fractal sequence. This 3-ply technique takes the "self similarity across different scales" to heart and creates a truly fractal spun yarn.

Looking at the figure above, we are following just one path on a branch, where it gets smaller and smaller proportionally.

What You'll Need

Materials and Equipment

Braid of fiber with bold/distinct sections of color. For this project I used Polwarth fiber from Yarn Hollow. The bright colors in Lime Sky are perfect for this technique.
spinning wheel or spindle

Directions

Technique

It's important to orient your fiber so you spin from the same end in each section.
Split the braid in half lengthwise and spin one half from end to end.
Split the leftover braid in half and spin it in the same manner as before.
Continue in this manner until you can no longer feasibly split the fiber in half.
For this 2 oz braid, I was able to split it a total of four times, giving me five individual lengths of fiber.
For this example, I Navajo plied to create a 3-ply yarn that keeps the color repeats in sequence. You could leave them as singles as well, but I wanted a slightly more robustly color patterned yarn.
My finished yarn measured to 134 yards of "sport weight" (16 wpi) yarn.
With a self striping braid such as this, you will get smaller and smaller stripes as you work with the yarn in your project.
To use the effect of this yarn to its full potential, knitting, weaving or crocheting something rectangular would be best.

Reeds and Rushes Cowl

Download the PDF here.
Cast on 37 stitches using your favorite method on US size 4 (3.5 mm)
Even rows: knit across
Row 1: (p, k3) X 9, p
Row 3: (p, k3) X 9, p
Row 5: (p, k3) X 9, p
Row 7: (p, k) X 18, p
Row 9: (k2, p, k) X 9, p
Row 11: (k2, p, k) X 9, p
Row 13: (k2, p, k) X 9, p
Row 15: (p, k) X 18, p
Repeat rows 1-15 until you reach your desired length.
Bind off using a slightly stretchy bind off, then sew the two ends together using a mattress stitch or whip stitch. Do this with a light hand to avoid bunching or puckering in your fabric. Soak and block to finish the piece.

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