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XNOR
The sixth design in the “British Inventors and Scientists” collection is not a sock… XNOR is a nod to Boolean Algebra, introduced by George Boole, English mathematician and logician during the 19th century.
Like all logical functions, XNOR is described by a truth table. The XNOR pattern in the body of the hat is my knit/purl interpretation of that truth table (rounds 1 and 2 are input, round 3 is output; true = k, false = p).
Bonus: The hat is reversible… and the “wrong side” is the knit/purl representation of XOR, the logical complement to XNOR. Isn’t it magical?
Sizing
Newborn (Baby, Toddler, Child, Adult S/M, Adult L)
To fit head circumference: 36 (41, 46, 51, 56, 61) cm / 14 (16, 18, 20, 22, 24)“
with approximately 5 cm (2”) negative ease
Yarn requirement
100% wool, DK weight:
55 (75, 100, 125, 155, 190) m / 60 (82, 109, 137, 170, 208) yds approximately for a hat without pompom.
You will need a little extra if you choose to make a pompom (5-15g depending on the size and fluffiness of the pompom).
Samples shown:
- Child size - Charcoal and lime: Ripples Crafts Merino Double Knitting in shade Assynt Peat and Slice of Lime
- Adult S/M - Blue/Grey: Baa Ram Ewe Dovestone DK, in shade Aire
- Toddler - Light blue: John Arbon Knit by Numbers DK, in shade 84 Kbn
Needles and Notions
- 4 mm (US 6) needles - Or size required to achieve gauge. ― circular or DPNs to work small diameter in the round
- 3.25 mm (US 3) needles
- Darning needle
- Stitch Marker
- Crochet hook and waste yarn
- (Optional) pompom-maker, or tools for your preferred method to make a pompom
Gauge
27 sts and 38 rows / 10cm (4 in) in XNOR pattern worked in the round, with smaller needles.
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- First published: June 2016
- Page created: June 19, 2016
- Last updated: July 19, 2024 …
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