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The technique is cool to know. SVG has many non-obvious abilities.

But the effect, due to the way it's produced, is more like a hot air distortion, only without the faint shimmering. It's completely raster in nature, AFAICT, and is likely implemented as a GPU shader (which is good from the performance POV).

An effect more like an unsteady human hand could likely be achieved by oscillating nodes in the direction perpendicular to the curvature, and adding some random jitter to the control points.

Pretty site and good write up but my phone turned to molten lava viewing it!
Wonderful, svg has so manu unexplored capabilities that feels like a crime using it mostly for icons on the web
I had hand-done mine on https://kurnell.ai - its really cool to see that I could have computationally done this instead :)

I used rive.app to encode the frames and create a state machine to move between the states. Perhaps I can simplify this even more.

I have played around with using SVG effects as they are stunningly powerful, but I wouldn't recommend deploying them for too much: even though apparently Firefox does some level of GPU acceleration for SVG filter graphs, in practice a lot of very simple looking graphs I've tried constructing seem to fall back to CPU even with webrender.all turned on. This is kind of a shame because feTurbulence in particular is pretty useful. You could use it for a lot of things. One case I wanted to use it for was to make a gradient grainier, to reduce the obvious banding. Unfortunately, I found that it pegs all of the CPU cores on my laptop immediately :)
Amazing. When I was experimenting with this, I was recreating the paths to get the wiggly effect. And it obviously was resource intensive. This feels much faster.
For a fun example of what the author describes as ‘boil’ in an animated line, check out the animation series ‘Baman and Piderman’. Lots of episodes on YouTube.
Every time I see this effect I think of "Baba Is You"

It's a very distinct style.

Looks very cool but my iPhone got really hot after just playing with it for one minute!