XNOR by Aurélie Colas

XNOR

Knitting
June 2016
DK (11 wpi) ?
27 stitches and 38 rows = 4 inches
in XNOR pattern
US 3 - 3.25 mm
60 - 219 yards (55 - 200 m)
Newborn (Baby, Toddler, Child, Adult S/M, Adult L)
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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:

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.