Pythagoras’ hat is worked bottom up. Instructions are given for a beanie (length = 20 cm / 7¾”) or a bit of slouch (length = 24 cm / 9½”) and for 2 different yarn weights. Two options are included: a close fitting brim (2 color sample) or a loose fitting brim (red sample).

Due to the stitch pattern and the placement of the decreases there are only two sizes: one with 96 stitches for a heavy yarn weight and one with 128 stitches for a light yarn weight. If you use larger or smaller needles and a heavier or lighter yarn weight, the gauge will be different and most head sizes can be covered.

The stitch pattern is very easy and uses only purl and knit stitches - a perfectly good excuse to start playing. Work one repeat in stranded color knitting (see 2-colored hat), or knit the whole hat in 2 colors (or more). Instructions to personalize your hat are included.

Tech edited by Sue-Cat

Gauge
Finished measurement circumference is ± 50 cm / 19½” to fit head 54 to 57 cm / 20½” to 22½”
worsted weight
19 sts in stockinette stitch = 10 cm / 4” with the larger needle
or fingering weight
26 sts in stockinette stitch = 10 cm / 4” with the larger needle

Using another yarn weight results in a different gauge and size (instructions and maths included)

What you’ll need
worsted weight
± 100 to 130 m / 110 to 145 yards
3.5 mm (US 4) circular needle
4 mm (US 6) circular needle

or fingering weight
± 180 to 220 m / 200 to 240 yards
2.5 mm (US 1½) circular needle
3 mm (US 2½) circular needle

tapestry needle