Math and art

What better way to experiment and play with difficult math concepts than with knitting.  This tactile project demonstrates Borromean Rings:

"Borromean rings consist of three topological circles which are linked and form a Brunnian link (i.e., removing any ring results in two unlinked rings). In other words, no two of the three rings are linked with each other as a Hopf link, but nonetheless all three are linked." [1]

The Borromean ring pattern was created by mathematician Sarah-Marie Belcastro and Madison Stuart

The second example is based on the Scientific American article "Knotting Needles Makes Knitted Knots".  The pattern, designed by Sarah-Marie Belcastro, creates a Torus or Trefoil Knot, similar to a möbuis but with more twists. I cast on 100 stitches on circular needles, tied a loose square knot, and then started knitting in the round.