Oh wow, I wasn't expecting to see this on Hacker News again!<p>This remains my most popular post. I'm very glad about the interest in mathematics it continues to generate!<p>---<p>To that one criticism, yes, there is no real "why" to the animations other than I thought they looked cool.<p>The post is not meant to be comprehensive, or teach anything more than bare basics meant to enjoy the visualizations.<p>I disagree that math visualizations must have clear pedagogical goals. Math visualizations can be purely exploratory.<p>The curves the poles trace out over time, are they significant somehow? Perhaps. Perhaps not. That's the exciting part of exploring new concepts. And part of the reason I chose linear over geometric interpolation.<p>Exploring those curves and alternate interpolations/animations was going to be part two, but it never happened.<p>I try to make posts accessible to as many people as possible. There is plenty of rigorous content already out there for learning more.<p>The focus for my blog is exploration and curiosity.<p>---<p>Perhaps I'll get around to part 2, and make it interactive with a compute shader.<p>Apologies for the code, it was never meant to be reused. I'm sure you can improve it!<p>Thank you for reading :)