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Braids

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Milky Way via Flock of Birds Inverse.

A photo of a whiteboard titled: Milky Way via Flock of Birds Inverse.

Milky Way and Flock of Birds

A braid group calculation showing the inverse relationship between Milky Way and Flock of Birds.

Yulong's Braid Word Reduction

A photo of a whiteboard titled: Yulong’s Braid Word Reduction

A Bit of Loop Braiding

While writing a piece about mathematical braiding, I try actual braiding.

They Don't Write 'Em Like They Used to: Artin (1947)

Surprising candour and playfulness from Artin in an Annals paper.

Braid Puzzle

A physical puzzle related to braiding.

The Complicated Twist and Pass Relation

A picture of the relation between twists and passes in $LB_n$.

Feeling Braid-y

A bunch of braid diagrams.

Complicated Relation Follow Up

A physical example of the complicated braid relation.

One Handed Loop Braiding the Trinity

A picture of some three loop braids on a pin board.

Three Loop Braids

Some pictures of samples of three loop braids.

Photographing Braids

A visual comparison of various low-tech ways of photographing a braid.

A Circular Braid

An image of a circular braid.

Five Loop Four Ridge Tubular Braid Track Plan

A photo of a whiteboard titled: Five Loop Four Ridge Tubular Braid Track Plan

Braiding Presentation Notes

A photo of a whiteboard titled: Braiding Presentation Notes

Week Notes 37

The end of term approaches

Week Notes 38

The CMS Winter Meeting and crafts

Week Notes 48

Seventh week of class. Back to teaching.

Week Notes 61: Summer Days, Pool, Final Walks to School

Public pool, walking to school, and the summer

Doodle around Flock of Birds and Milky Way

A photo of a whiteboard titled: Doodle around Flock of Birds and Milky Way

Week Notes 65: Relatorium Seminar

A light summer week ending in a talk on string figures and braids at the Relatorium.

Talk: The Art of Braiding Algorithms

A talk about work on loop braids and string figures.

Word Problems and Groups

A photo of a whiteboard titled: Word Problems and Groups

Brokhos: Heart Sequence Analysis

A photo of a whiteboard titled: Brokhos: Heart Sequence Analysis

Braiding Doodles

A photo of a whiteboard titled: Braiding Doodles

Alexander's Theorem

A photo of a whiteboard titled: Alexander’s Theorem

Talk: Braiding on Computers

A quick excursion through braiding in Desmos and CalcPlot3D.

Three Loop Four Ridge Tubular Braid (L2 R1)

A photo of a whiteboard titled: Three Loop Four Ridge Tubular Braid (L2 R1)

Three Loop Four Ridge Tubular Braid (L2 R1): Overlapped Tracks + Strand Orbit

A photo of a whiteboard titled: Three Loop Four Ridge Tubular Braid (L2 R1): Overlapped Tracks + Strand Orbit

Three Loop Four Ridge Tubular Braid (L2 R1): Follow the Score (Part 1)

A photo of a whiteboard titled: Three Loop Four Ridge Tubular Braid (L2 R1): Follow the Score (Part 1)

Outline: Loop Groups and Loop Braiding

A photo of a whiteboard titled: Outline: Loop Groups and Loop Braiding

Braids: Track Plan from Braid Word (Slightly Broken Example)

A photo of a whiteboard titled: Braids: Track Plan from Braid Word (Slightly Broken Example)

The Standard 3-Strand Braid and Its Track Plan

A photo of a whiteboard titled: The Standard 3-Strand Braid and Its Track Plan

The Loop Manipulation Group

A write-up of a question about loop manipulation and braid groups.

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