Fibonacci Two Ways by Diane L. Augustin

Fibonacci Two Ways

Knitting
November 2023
Aran (8 wpi) ?
4 stitches and 5 rows = 1 inch
in stockinette
US 10 - 6.0 mm
218 yards (199 m)
one size fits most (see notes)
English
This pattern is available as a free Ravelry download

Fibonacci Two Ways
Blend two colors of yarn using the Fibonacci numbering sequence, which is often found in nature. In this two-part cowl, both colors fall into an eye-pleasing arrangement by alternating them using this sequence for the row counts.
The Fibonacci sequence is a series of whole numbers in which each number is the sum of the two preceding numbers. Beginning with 0 and 1, the sequence of Fibonacci numbers would be 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc. This sequence appears often in nature in flower petals, sunflower seeds, pinecones, the nautilus shell and so many other examples.

The Fibonacci numbering sequence may also be applied to stitch patterns as well as color changes in the rounds. Have fun creating new designs using this numbering sequence.

Pattern Notes
This cowl is knit in the round, from the bottom up, using two alternating, contrasting colors, Work Part 1, with rib stitching. Part 2 is all stockinette. The unused color is carried up through each round. A jogless stripe technique is used at the end of the first round of each color change. Carry the unused yarn up through the rounds.
The cowl is 26” x 11” deep. 20” at top. Gauge is 4 sts./in. 5 rounds/in.
Technique links are included in the pattern.

Materials
2 hanks (1 of each in contrasting colors, 109 yards each) of Blue Sky Fibers, Woolstok Tweed Aran.
Size 10 circular knitting needles, in a 24” length. Ring stitch marker. Yarn needle.
C1 – Color 1 Dark Blue #3305 Blue Lichen
C2 – Color 2 Light Blue #3304 Prairie Sky

Thank you to Andrea for modeling.