Tubular Cast On In The Round - Method 1

This is a very controllable method of making an attractive rolled top for a single rib and can be achieved using a Provisional Crochet Cast On (Part 1 - The basics Provisional Crochet Cast-on - Part 1:... ) and a loose stocking stitch fabric, PCCO half of the required number of stitches for your sock in a strongly contrasting colour, onto a set of larger double-pointed needles (at least three sizes larger than you wish to use for the sock). With Main yarn establish knitting in the round and knit three rounds (for flat applications, four rows).

For Single Rib, with regular needle size, [k1, yfd between needles, with Right Hand Needle lift the Australian Cousin stitch (Main yarn float between the first two provisional stitches that looks like a purl bump), and purl into it] repeat to last stitch, end k1, place Main Yarn tail over Left Hand Needle from back to front and under the needle to the back again, hold it thus  and purl into the resulting O. This scraggy stitch will neaten beautifully later using the tail. Continue to work in single rib as now established.

For Two-by-Two Rib, establish as before, with larger needles four increments bigger, a multiple of two stitches in the initial Provisional Crochet Cast On. With regular needle size, [k1, yfd, purl into the next two AC stitches, k1] repeat to end making the final purl as before. Continue to work in double rib as now established.
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Foundations of Double Knitting
Fearless Knitting
My First Socks
Next Steps in Socks

Many Happy stitches, Lucy