https://en.wikipedia.org/wiki/En_(Lie_algebra)#Infinite-dimensional_Lie_algebras
Here's exactly what I'm trying to plot here, let me make it simple with just the x,y coordinates, for S(0->1) iterations, for circles:
We start with the koch snowflakes. Then we derive the circles for S(0->1): https://i.imgur.com/OvPzN53.jpg
https://i.imgur.com/q1OehTs.jpg So the circles' diameters are taken from the width of the triangles at their middles not their bases. S(0) ha