Summer of Math Exposition

Some of the ideas lack motivation. For example, why is the mx term made into a 3D solid in the beginning? The idea to split m into t * u just kinda comes out of nowhere, and the process feels too magical.

1. nice use of multi-colored graphic animations 2. discussion of procedure & formulas has good omission of intermediate details about composition of transformations 3. I suggest adding some historical notes. E.g., competitions where a set of challenges (equations to be solved) were submitted and answers (numerical solutions) were reported --- each competitor guarded their personal secret set of tools. 4. Use of second derivative to locate inflection point is anachronistic --- how did Cardano reason about this?

Not bad, the glitch effect is weird imo but maybe some people like it. There seems to be a lot of missing polish, like some equations are behind a line or something. The camera movement is a bit jarring. That stuff is pretty minor but would make the video better. The other thing is that if this is meant for a more general audience then it is a bit confusing. I understand the video but I am also a senior math undergrad. The average person would probably need more time to process things that you are doing. Maybe more spacing between new parts? Especially the part with all the equation simplification. I’m sure 90% of people out of school do not know how to simplify a square root, so maybe give them a second to remember. Overall I think it’s a good video :) thank you for making it

This is an awesome video! I loved the intro and thought the production quality was good throughout. Keep up the good work. I just thought the equation transformations were a little fast in spots for someone not super familiar with the subject matter.

Very nice visualization, focus on the essence, easy to understand. Well done!

Some of the animations were really impressive. Really well done in that aspect. Personally, I tend to need a little more time to process these step-by-step derivations. For this reason, I found myself pausing the video quite a few times just to make sure that I caught everything properly. In the future, I wonder if it could help you grow your audience by having a more visual-only video with more of the formal 'math' being linked to a blog post. Overall, great job.

A bit rushed at the end, how about an example with multiple solutions?

done well, interesting for teenagers hen this formula is not tough.

Good animations that blends the transition between algebra and geometric intuition, and well explained step by step of the process on deriving the formula. To further improve on this, I'd like to see more discussions on possible incorrect attempts on what was tried, but failed and what we could learn from that as it would give a more personal take on the content to great visualizations.

This is a good explanation of Cardano's formula. While I personally didn't enjoy some of the glitchy aesthetics, it didn't take away so much from the rest of the video to ruin the experience for me.

This is done very well. The animation is beautiful. But you need to explain that the Cardenas formula is useless whenever the term inside the square root is negative.

Nicely done! Very good job. Why not find the other roots as well?

I think a lot will tell you the intro was really well done. I appreciate it that you deliberatley show all the equation manipulation.

Brief, clean, and memorable. Thanks for the nice submission and keep up the good work. :+1:

Not bad! I found the visualization of the problem in terms of literal geometric cubes and boxes well done. I liked your use of the inflection point of a cubic to help figure out how to convert a general cubic to a depressed one. I don't think I've seen it approached that way before. I also liked how at the end you solved a concrete example problem, though I did find it a bit jarring that endcards appeared midway through. I think endcards should be saved for after the main content has finished so as to not become a distraction. Having them appear during an outro could work, as the video rather abruptly ends after the example problem is solved. Pacing was good at the start, though I found it went a bit too quick during the algebra phase (starting 2:47). I found myself quickly getting lost. I do think I could keep up if I paused the video and went through it carefully, though I think with a slower pace, it might not be necessary to pause. Overall, I thought it a good video with some excellent moments, though could be improved with polishing a few things here and there.