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KH-260 Field Notes 2: Ribber Tube

KH-260 Field Notes 2: Ribber Tube 2016 1512 mathgrrl

This is part 2 of our notes as we work through the basics on a Brother KH-260 knitting machine. In part 1 we dusted off the machine and made a quick fair isle Trash Swatch. This time we’ll review how to get the ribber bed adjusted and lubricated, and then create a piece of circular knitting that is open on both ends.

KH-260 Field Notes 1: Trash Swatch

KH-260 Field Notes 1: Trash Swatch 2016 1512 mathgrrl

This is the first of a series of blog posts that will catalog our adventures with a Brother KH-260 knitting machine. We’ve set up the machine and know the basics of using it in various ways, but what now? In this “Field Notes” series we’ll share quick notes about what we learn as we go forward. Nothing fancy, just a day-to-day journal of what works and what doesn’t. Like everything we post here at Hacktastic, we’ll talk a lot about our failures and problems, since that is where learn the most!

Crochet Rainbow Blanket

Crochet Rainbow Blanket 2560 1920 mathgrrl

This very simple blanket pattern is great for using up yarn scraps (or to give you an excuse to purchase more yarn, let’s be honest). The pattern is very forgiving about yarn thickness, and gives you a chance to play with color transitions. The finished piece is comfy and casual. The holes are fun to push your fingers through, and make the blanket airy and cool. Based on the Vintage Vertical Stripe Crocheted Blanket Pattern from Bella Dia, except with two rows of each color and some attention to detail at the edges.

Space-Filling Terrazzo – Getting Started

Space-Filling Terrazzo – Getting Started 640 480 mathgrrl

This is the first in a series of posts about a space-filling riff on Tinna’s Terrazzo Afghan. Our design is going to start off looking like one of Tinna’s Terazzo squares, but it’s going to continue as a larger and larger square, with lots of different but “space-filling” patterns along the way. It won’t be ONE space-filling curve (sorry, math geeks), but it will fill space efficiently as we build the pattern out from the center.

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Published Research

  • Sequences of spiral knot determinants

    With students Ryan Stees and Charlie Kim
    Journal of Integer Sequences, Vol. 19, Issue #1, 2016
    MathSciNet Review / Citations (3)

    Abstract:  Spiral knots are a generalization of the well-known class of torus knots indexed by strand number and base word repetition. By fixing the strand number and varying the repetition index we obtain integer sequences of spiral knot determinants. In this paper we examine such sequences for spiral knots of up to four strands using a new periodic crossing matrix method. Surprisingly, the resulting sequences vary widely in character and, even more surprisingly, nearly every one of them is a known integer sequence in the Online Encyclopedia of Integer Sequences. We also develop a general form for these sequences in terms of recurrence relations that exhibits a pattern which is potentially generalizable to all spiral knots.

  • Nest graphs and minimal complete symmetry groups for magic Sudoku variants

    With Beth Arnold, Rebecca Field, John Lorch, and Stephen Lucas
    Rocky Mountain J. Math, Vol. 45, no.3, 2015
    MathSciNet Review / Citations (7)

    Abstract:  We identify modular-magic Sudoku boards that can serve as representatives for equivalence classes defined from the modular-magic physical symmetries. This will allow us to identify a restricted set of relabeling symmetries that, together with the physical symmetries, forms a minimal complete modular-magic Sudoku symmetry group. We conclude with a simple computation that proves the non-obvious fact that the full Sudoku symmetry group is, in fact, already minimal and complete.

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