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These socks were inspired by the main character in Star Trek: Discovery, Michael Burnham. Born of human parents, raised as a Vulcan, trained as a xenoanthropologist, and now serving on the USS Discovery as a science specialist. Is she a traitor or a hero? Burnham has certainly had a life — and career — full of twists and turns.

The socks are knitted from the toe up in the round in twisted and traveling stitches. Tiny cables running at the edges of the foot transform into gussets, creating striking right triangles on both sides of the foot. A heel flap worked in twisted stitches flows seamlessly into the leg pattern.

The twisted-stitch pattern is foot hugging, giving a comfortable fit on a wide range of foot sizes. Two options for gusset placement are provided so both foot and leg length can be adjusted to fit your measurements. Right and left socks can be worked identically or — if you love perfect symmetry or are from the Mirror Universe — as mirror images of each other.

The pattern is written with both metric and US terminology. Both written and charted instructions are given for the stitch patterns.

Share your project with the hashtags #⁠burnhamsocks#⁠socktrekdiscovery, and #⁠talviknits.


  • One size: 64 sts


  • Foot and ankle circumference: approx. 20 cm / 7¾”
  • Foot length: approx. 23.5 cm / 9¼” or adjustable within pattern
  • Leg length from cuff to top of heel flap: approx. 14 cm / 5½” or adjustable within pattern



  • Garnstudio DROPS Nord (45% alpaca, 30% nylon, 25% wool, 170 m/50 g), 2 skeins. The sample pair is knitted in color #09 Deep Ocean.
  • or approx. 320 m / 350 yd of fingering-weight sock yarn


  • 2.5 mm / US #1½ DPNs or circular needle(s) for working small circumferences in the round (or size needed to obtain gauge)


  • 2 stitch markers
  • Darning needle


32 sts × 42 rnds = 10 cm / 4” in stockinette


The pattern uses the following techniques: working small circumferences in the round, twisted and traveling stitches. Ability to follow charts is recommended but written instructions are also provided for the stitch patterns.

The pattern assumes knowledge of a cast-on and bind-off method for toe-up socks; references are given for a couple of alternatives. The pattern also assumes knowledge of working short rows using the wrap-and-turn method.



Whose socks do you want to see next? Vote for your favorite Star Trek: Discovery character!
You will get the following files:
  • PDF (7MB)
  • PDF (7MB)

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