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A Bit of Loop Braiding

Last year, I had an idea for an article that I want to write about loop-manipulation braiding or loop-braiding. I found out that loop-manipulation braiding generates a particularly nice subgroup of the mathematical braid group. The point of the article is to explain this particular subgroup and offer a textile-artist friendly introduction to braid group theory. Also, I hope to draw a bit of mathematical attention to loop-braiding.

And so for months, I was kicking the article around in my head for months, writing various outlines, structures, looking for venues for it, and hadn’t written a word of it. Eventually, I realized that I needed to do more hands-on loop-braiding. And so, today I got out my copy of Loop-Manipulation Braiding: Basic Instructions by NoĆ©mi Speiser, and tried it out again. The result was this lovely five loop braid.

a braid and a book on a blond wood chair

(Click to enlarge. Look at those cosmic diagrams!)

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Published: Sep 12, 2024

Last Modified: Sep 12, 2024

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