De Morgan's Laws

from that bald guy knits

De Morgan's Laws Pattern


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Knitting: De Morgan's Laws
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De Morgan's Laws A Slight Variation
De Morgan's Laws De Morgan's Laws

Pattern Details:

Pattern Details






Women, Men



Skill Level:

medium skill level requirement Intermediate

Basic Skills Necessary:

  • Twisted Stitches
  • Cables

Pattern Description:

The negation of a conjunction is the disjunction of the negations.

The negation of a disjunction is the conjunction of the negations.

What do two algebraic rules have to do with socks? Without getting too heavy on the math, De Morgan's laws have something to do with Heyting algebra, which is a bounded lattice.

These socks feature an interesting lattice cable, hence the foray into a mathematics lesson. The pattern is a top down construction with a gusset and heel flap. The ribbing yields to the cable pattern featured on the leg and instep. Above the heel and toe, the cable pattern transitions back to the ribbing.


8 stitches and 12 rows per inch

Sizing / Finished Measurements:

  • 7, 8, 9, 10 inch diameter


  • US 1, 2.25 mm needles

You Will Also Need:

  • cable needle
  • tapestry needle

Suggested yarn:

437 yards of Fingering weight

Preferred Brand/Yarn:

Skein BFL Sock



About Designer

About Designer

thatbaldguyknits on

Rich started knitting as a way to relieve stress. His first two projects were sweaters, since there was no one to tell him that perhaps a scarf would be a better starting point. At some point, Rich got it into his shiny, bald head that knitting socks might be a good idea.

Rich lives in Northern Virginia with four cats who think that stitch markers solely exist to entertain them.

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