Summer of Math Exposition

Excellent deep dive into the world in which mathematics meets physics. Seriously, keep up the great work.

Love your style! The video is quite long and I don't regret watching it all, but it is fairly daunting. Might work out better as a series rather than a single forty-minute video. The truncated images look like a fibre optic bundle! Love it!

Goal Orientation: 2/10 Novelty: 4/10 Thought-Provoking: 2/10 Comprehensibility: 0/10 Technological: 6/10 Overall Average: 2.8/10

This is a well-presented video, with very good animation and a pleasant sound, but I am not sure at which audience it is targeted. Starting with a bored student from high-school to then get into the realm of visual representation of quaternion-based fractals might be a bit difficult for the audience to identify. I would personally advice to choose one of two possible options: - Really target a (possibly bored) high-school student by explaning a simpler concept, such as quaternions (assuming they know imaginary numbers) or how to represent multi-dimensional objects. I believe these are already interesting questions that could be made into an interesting video. - Target a more advanced audience, very confortable with degree two polynomials, and somehow confortable with your more advanced topics, such as fractals, quaternions, metric spaces, etc. From what I quickly saw in your channel, this is the more standard type of video you are making and so you could bank on your already developped skills. I also find that you tried to put too many concepts into a single video. I understand the desire to eplain your exploration on the topic from start to finish, but I believe this ends up being quite overwhelming while also not explaining more deeply any of the topics. Not all parts are equivalent, but with a total of 7 parts in a 42 minute video, this is an average of 6 minutes on any given topic, which is quite on the short end of math explanatory videos. If I had to propose a varient of your video, I would advice to focus on the visual representation of fractals. You seem to be very into animations, so this would be a good topic to show how you create these images, and you could use a simpler fractal, or simply state the fractal results as your starting point. Finally, and to conclude on what is good, your video is obviously of a very good quality! The animations are great and the general music ambience fits well with your pleasant and well-recorded voice. Do not force it to cover so many topics, and it would be amazing :).

This video is too long.