This morning I started drafting an article about heart groups. This got me looking at all my cardfile notes about the heart group, and collecting up various “resources” for the paper.
Converting a calculation from Storer’s Heart Sequences to the Heart Group
A picture of an elegant string figure position from Nauru.
An artist’s book about the relationship between string figures and modernity
A physical example of the complicated braid relation.
The canonical start of a linear sequence is a point in nearest LFn string. In this simple example, there are three possible linear sequences (with the correct orientation) but only $L2, L5, R1$ has the correct start point.
I’m working with Eric Vandendriessche and Alfredo Braunstein to understand a bit about how the string figure calculus acts of canonical linear sequences.
This photo has a sketch of an embedding $\heartsuit_n \leq B_{2n}$.
Three loop manipulations are shown. What should we call them?
A quick peek at the braid group $B_3$
A write-up of a question about loop manipulation and braid groups.
Labelled generators of $H_{n} \subseteq B_{2n}$.
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