Fibonacci Stripe Garter Wrap
A generous rectangular wrap with stripes spaced by the Fibonacci sequence (1, 2, 3, 5, 8, 13), so the pattern never looks random.

- Yarn
- DK (3) in 3 colours.
- Needles
- US 6 (4 mm) 32 in (80 cm) circular, used flat
- Sizes
- Wrap 20 × 70 in (51 × 178 cm)
- Example gauge
- 22 sts and 44 rows = 4 in (10 cm) in garter
- Yarn needed
- About 1,670 yd (1,530 m) DK in total. Choose “Scarf, cowl or wrap” with “Garter or ribbing”.
Do the math
The examples use the gauge above. Put your own swatch into the gauge calculator first, then use your numbers in each formula.
| Step | Formula | Example | Tool |
|---|---|---|---|
| Cast on | width × sts per in | 20 × 5.5 = 110 sts | Cast-On Calculator |
| One stripe sequence | sum of ridges: 13+1+8+2+5+3+3+5+2+8+1+13 | 64 ridges = 128 rows ≈ 11.6 in | By hand |
| Sequences needed | length ÷ sequence length | 70 ÷ 11.6 ≈ 6 | By hand |
Materials
- DK (3) yarn (see yarn needed)
- US 6 (4 mm) 32 in (80 cm) circular, used flat
- Tapestry needle
Gauge swatch
Garter swatch.
Instructions
Knit
Cast on (example: 110 sts). Knit every row, slipping the first stitch of each row purlwise with yarn in front.
Stripe sequence (in ridges, 1 ridge = 2 rows): 13 A, 1 B, 8 C, 2 A, 5 B, 3 C, 3 A, 5 B, 2 C, 8 A, 1 B, 13 C.
Carry colours not in use up the side; cut any colour not used for more than 8 ridges.
Repeat the sequence 6 times or until the wrap is 70 in (178 cm).
Bind off
Bind off loosely.
Finishing
- Weave in ends.
- Block lightly; garter doesn’t need hard blocking.
Designer’s notes
- Knit it sideways instead for long vertical stripes: cast on 70 × 5.5 = 385 sts on a long circular.
- The same sequence makes a great blanket; scale with the calculator.
Counter set-up
Counter 1: ridges in the current stripe. Counter 2: stripes done in the sequence (1–12).
Open the row & stitch counter for several counters, or use the quick one below.
Tools for this pattern
- Gauge CalculatorEnter your swatch counts to get stitches and rows per 4 in (10 cm).
- Cast-On CalculatorEnter your width and gauge; it rounds to the stitch multiple for you.
- Yarn Quantity CalculatorPick the project, size and yarn weight to get total yardage and skeins to buy.
- Row & Stitch CounterSet up the counters listed below; the screen stays awake while you work.