Summer of Math Exposition

good pedagogy.
i would have liked to see more on perspective geometry, it was just a “oh and by the way” at the end, whereas i think it would be good to delve into something a bit more “meaty” (maybe some4 is not the place though).

I liked

• good motivation from the paintings
• perfect for beginners
• shows creative problem-solving
• clear direction on where to go next if interested
• very high quality production I disliked
• the connection to proj. geometry could have been more sophisticated, I feel like you could have taken the extension of the geometry further. But I’m really nitpicking here I’m actually really impressed :)

I’m an old sub, watched on TV before I found it here! Fascinating video, I like how you caught us off guard with the trapezoid trial. My mom also liked the video.

Really nice and understandable way to explain such a clever and a bit abstract concept. The painting at the beginning intrigued me to now think about negative perspective. Animation is simple yet good and the pauses really give you the chance to think about what you just saw. Nice!

Lack of rigor and pure math, wonderful explanation, but it would be better to explain the idea of lines meeting at infinity using projective geometry and dive into math

Quite interesting topic and nice explanation. I really learned something new from this, was worth my time. Nice execution.

Very nice way to present the problem, with the “obvious” approach failing. That definitely catches the viewer attention. Memorability is also excellent, the drawing are clear and neat, the voice is pondered… And to open at the end towards further projective geometry lessons / videos is a great way to teach. Bravo !

The visual explanation of the problem and the visual way to solve it using clever geometry is absolutely brilliant I think. Really great video for the target audience (middle-school & high-school) as it is able to represent more complex ideas like projective geometry in a very easily understandable manner using great visuals. I also really like the approach to problem solving as it ressembles to ones found in Measurement by Paul Lockhart, and really should be the method used to teach geometry in schools. Great job!

Very interesting and well explained. Interesting to see a video with no equations!

Really nice opening question that catched my interest. No fancy high end math but perfect for the situation. Also nice animations.

While short, it was a fun little puzzle and quite easy to understand.

I had to immediately try to draw it on paper as soon as I saw you draw the diagonals it was wonderful

Motivation (6) - It takes a while to understand what this video is about. If there could be a clear and short introduction first, then a more longer one like you have, that would probably be better.

Clarity (9) - Perfect

Novelty (9) - Never seen this before so great in this aspect as well

Memorability (9) - Know how to draw perspective now!

Music is a bit too loud. Especially with the high frequency percussion. Overall, great video!

Thanks for using sacred art to describe how we meet infinity at the horizon. I think my favorite part of this video was: “Well, Mathematicians have a way to resolve something like this: we just invent new points!” It was a short and sweet way to show how much freedom this discipline provides. Overall, I’d like to commend this video as it was brief yet engaging on projective geometry. I’d enjoy watching more of your content and so I have bookmarked your channel. The Ranking score is an average of these individual categories, good luck: Motivation: 9 Clarity: 9 Novelty: 9 Memorability: 9

Not really! It’s a short and punch video!

Interesting. A novel yet prevalent topic, tackled with a steady finesse. It’s great how the video approaches the problem in structure and in steps that are easy to follow. One other thing the video managed to do that most videos fail to do is how every visual is justified and assistive. One extension the video can consider is how the diagonal lines also converge to the same point on the horizon thanks to alternate interior angles. Well done. A work of high standard.