Summer of Math Exposition

An enticing topic, but it suggests far more than it actually offers. It over-sensationalises the problem (red pill... blue pill... no thank you). However I liked the clarity around when is meant by a dimension. Then things moved too slowly until we are introduced to Freddy, where it gathers speed. Yet the overall pace remains too pedestrian. The voice is great, the graphics good and the topic exciting. I feel it could all have been condensed into a video 1/3rd of its length.... but thank you :-) I enjoyed it.

It was a bit verbose. I recommend to make the video much shorter and get straight to the point.

Animation excellently supports the concept. Curious where you’ll go with the remaining videos. The two things that were new to me were identifying the point in the parallel plane/space nearest to a given native point, and the deck of cards. I found the video to be a bit slow moving, but I first read about 4D space 34 years ago, and others may find the pace just right.

Very captivating and well done introduction and summary of what the video and the series are going to be about, and what the viewers will benefit from watching. The narration, the script and the careful choice of words are really well curated. The part with the choice of pills and the pledge is also funny, and engages the viewer in the presentation. Moreover, the three parts of the pledge are actually important points for the viewer to understand (the fact that the axis are perpendicular to each other and intersect at the origin, and the fact that anything that can be deduced from this should be believed even if it looks false in 3D space), and presenting them in a kind of joking manner actually makes for a better understanding, at least in my opinion. This is just an introductory video to the series, and therefore doesn't really go in depth into the topic, and really only covers basic notions that are mostly already widely known. I think this video does a very good job of explaining such things in a way that is very clear, concise and understandable to an audience that isn't necessarily already accustomed with the notions presented. For people that are already familiar with the usual methods of visualisation of 4D space this video could be a bit uneventful, and lacking a new perspective. However this is the first video in the series, so it is entirely normal to start at the beginning, and in any case this video has a really good and comprehensive take on the topic, which definitely offers better non-technical explanations than any I have seen. And also, the "deck of cards" visualisation is indeed new to me, and looks very interesting and useful; I just wish it would have been analysed more in detail, with multiple examples, and with 2D-to-3D analogues. It is mentioned that this model is going to appear a lot in future videos of the series; perhaps it is going to be covered more in depth later? Given what the author says at the beginning of the video, the next videos of the series should cover the topic of 4D visualisation in a more advanced way, that should satisfy viewers looking for a new perspective. I think that one of the subsequent videos of the series would have made for an even better entry for the SoME, if it lives up to the expectations. Small note: at 9:35 I disagree with the requirement of "continous" numerical information: continuity doesn't have to do with dimensions.

Interesting video, makes me think of 'Dimensions' by Jos Leys. I only think it is a bit long, especially considering this is only part 1 of multiple.

Usually 25 minutes for a video is not justified but I was very pleasantly supersized here. Pacing and editing were done very well to keep the video engaging. The matrix-pill metaphor might have been a bit off but that is simply because it is overused culturally. 'Light the fuse' might be better. Or 'Crossing the Rubicon'. Or 'there is no off button'. Overall it did its job in so much that it got me hooked and I want to watch the rest of the series now.

This is an intriguing video. You're approaching a topic that occupies a lot of attention among lots of casual math-interested people, and you're bringing to it a lot of your own creative outlook, experience, and enthusiasm. That definitely makes a difficult topic shine. On top of that, your visuals are super helpful and very clean. Your video is one of only a couple entries I've seen that haven't been using Manim, and I really appreciate the different visual style you brought. Two bits that I think really stand out to me are your "pledge" and your deck of cards model. I'm sure someone has thought of the deck of cards idea before (it's very similar to standard methods taught in multivariable calculus classes for thinking about surfaces in 3D) but your video is the first thing I've seen that's made an attempt to actually animate/visualize it. I was actually pretty blown away with how effective seeing it was, so I'm glad that's something that exists on the internet now. Your pledge stands out to me for a different reason. You really capture something essential about the mindset needed for understanding not just the topic you're pursuing, but really any math at all. It's a crucial problem-solving skill to be able to isolate a few things that you are going to take as given, and follow them wherever they lead, even if it's unknown territory. I think your pledge captures that in a really deep way. You also have some excellent examples not just for thinking about 4D, but thinking about arbitrary higher dimensions. The thermal imaging and survey examples are excellent. I think that providing examples like these of how 4 dimensional data can naturally occur in our everyday world is a great service. My main complaint about your video it's that I feel at times that you come across as abrasive or dogmatic. For example, you start off your video basically complaining that other content creators have said something that you think is wrong. You spend about a minute warning your viewer that "learning isn't easy", and that "it requires changing your mindset". And of course, I also like The Matrix, but given the unfortunate associations "the red pill" has acquired, it was an odd choice to couch your video in those terms. These moments made it hard for me as a viewer to really enjoy watching your video, because I felt like you were condescending to me. I don't think that's how you meant to come off, I think you were expressing your style and your sense of humor. I think this is something that you can workshop and hone, and I hope you find ways of presenting those aspects of your personality that don't sound so negative. I'd say from about minute 9 to the end, I really enjoyed everything you had to say, but the beginning of your video was pretty hard to get through.

It does not give a real visualization of 4D.

Take the red pill and see how deep the rabbit hole goes... only, this rabbit hole isn't going DOWN, it's going a different direction altogether.

Though editing and visualisation is on point. The content seems to not have a clear demographic. Its too formal for people inexperienced in math, causing them to lose interest, yet a bit too wordy and repetitive for a more experienced mathematician. I would suggest either cutting some unnecessary wording if it aimed at mathematicians, or make it more "animated" and more informal if it is aimed at a broader demographic.

The Video promised a lot and it didn't really live up to that. The "deck of cards model" is pretty great in my opinion and could have taken a bigger part of the video. But the whole "changing the mindset" stuff is a bit too strong for the concepts presented. Maybe this will become better in the other videos, but I'm just rating this one and can't assume anything about future videos.

Lovely introduction. I look forward to the rest of the series. The Blade Runner quote is nice, too. ;)