Summer of Math Exposition

The visuals are outstanding - I especially liked the point about reflecting the simulation field to generate boundary nodes for the Voronoi diagram

The beginning story and cartoon is cute and an excellent way to motivate the problem. The solutions are well visualized. For viewers who don’t know these algorithms, it might be hard to follow. It might have helped to show some intermediate states of how Voronoi diagrams are built or how Dijkstra’s algorithm calculates the shortest path.

This started a little slow and I didn’t think I was going to care about the problem — but it absolutely drew me in. There were a couple of steps I didn’t quite follow, but nothing that broke the flow of the argument. The art at the start was a lovely touch (and I’m glad we got to see Rumo at the end). I felt like the Ackermann section was a little unmotivated — does it matter how fast union-find is when it clearly produces bad output — but I’m glad the union-find section was included and overall I really enjoyed this

Great Job!

A quite unique style at the start, good explanations and an interesting problem

Well organized with good visuals. It would have been nice to delve into the order operations and explain the computational time a little more, but that’s likely not a global opinion.

A neat video. I think it works best if you view it as a list of demonstration problems for algorithmic complexity — as you said yourself, it is not entirely obvious where you would use it in real life. Still, the complexity analysis felt a bit rushed to me, so I don’t really see where the focus is meant to be here. I liked how your last algorithm provides a qualitatively different answer, though it also looks the most naive. A content note: I don’t think you addressed how in the first algorithm, diagonal paths have a bit of an unfair advantage because you get penalised for only one danger evaluation while you cross $\sqrt{2}$ meters. Might have just missed it. Some of the larger images likely don’t work well on mobile. I think the pacing could be faster in general and the presentation a bit more vivid on a graphical level. Your concrete example of the cow meadow gets quite sterile after the intro and could have lent itself to a more memorable presentation, though that is just a suggestion.

Loved how a thought experiment can result in different kinds of solutions. Beautifully demonstrated graph concepts as well.

fun visuals, not entirely explained well, and not very memorable. Interesting premise though in principle. passable.