Summer of Math Exposition

good audio, clear presentation

I don’t think we need another chaos game video though; especially that does not point to something new.

This was a nice watch! Interesting subject, well visualised and narrated. A few ways it could maybe be improved: The ending felt a little abrupt to me and the step where the low number case is tied back to the high number case didn’t really land with me, I feel the video could have been a little bit longer (maybe 2 more minutes or something like that) and taken a bit more time to drive that part home. But these are nitpicks, the video was both enjoyable and educational. Well done!

Good visuals, and compactly described. The kind of video that I would consider linking people to when talking about a topic.

I’ve never heard an explanation of why this works, and I’ve always been curious!

I had to watch it twice, because the argument is a bit subtle and I think you could’ve spent more time on it. I think you’re arguing that if you do a huge number of iterations, then every 6-digit (for instance) sequence will occur about equally often, and each 6-digit sequence applied to any point inside the triangle will put you in the right neighborhood. And by “right neighborhood”, we mean the neighborhood specified by reading that sequence backwards.

Even as I write this out, I wish it had been explained slower. Anyway, it’s really a cool idea and I give you a lot of credit for putting together these great animations and tackling an unusual non-traditional math question.

Interesting subject, but I didn’t see (or understand) the precise connection between the contraction functions and the “address system”. Why does a point never end in the “middle” triangle ( the one with no vertex in common with the original one), for example?

The introductory motivation is clear and interesting (though it does assume knowledge of the Sierpiński triangle). Using addresses to denote subtriangles was good but not novel. The proof is also slightly hard to follow and isn’t clear. Further, at many poitns in the video, it feels as if the intellectual burden of finding intuition for the process explained in the video is on the viewers.

Great topic. I liked the motivation, the problem statement was presented very clearly and is intriguing enough as a motivation to continue watching. To me, the connection between the “address” and the sierpinski triangle was not worked out clearly enough. Also, it really would have helped if you had stuck with only one example during the explanation. Although the argument is beautiful, it feels more like the sketch of a proof rather than a proof itself. I understood the reasoning only after rewatching the animation a few times (they were great). However, from an explaining video I expect a kind of tutorial that guides me through the reasoning behind the animations.

Nice video! I like it when a video presents an unexpected phenomenon or problem that makes you ask, Why? Great hook and well explained.