Curves and L-Systems

In parallel of my studies, I created some years ago on the side an interactive app for generating and coloring L-Systems : https://epholys.itch.io/lsys . It's a bit rough, but I created a lot of interesting trees (all here : https://imgur.com/a/0Rx7uln) and included them as a zip file alongside the app.

https://trinket.io/python/108e28ab75

This has L-systems for filling the plane with hats and spectres. It's a little ugly and slow because it keeps redrawing tile edges but it does the trick; it's compact enough that I managed to get the bbc micro bot to draw the spectres with a toot's worth of code

https://hachyderm.io/@bbcmicrobot@mastodon.me.uk/11046800551...

And this one draws the self-avoiding curve made by the F-clusters in the hat monotiling. It works slightly differently using a stack, which avoids some of the overdrawing in the systems above.

https://trinket.io/python/df6f9fa4db

[1] https://observablehq.com/@kelleyvanevert/l-systems-2

Lol, nice!