Summer of Math Exposition

The introduction was engaging and I like the connection to epicycles and the ptolemean model, viewing the resulting images as trajectories of mini-moons of mini-moons.

The explanations were nice and concise for people who are familiar with the topic. For people who are unfamiliar with the topic, it would be a bit hard to follow and there are videos explaining the same thing in much more detail, e.g. the video of 3b1b on the Fourier series.

Overall, the entire topic of the video is not very novel as it has been used and explained by many youtube videos on the Fourier series. The novel aspect of this video is the Minecraft theme which might grab the attention of a specific target audience that might not have been interested in the topic before.

The visual presentation is good and the background voice is easy to understand.

My main takeaway from this video is that I might use this epicycle and mini-moon of a mini-moon explanation as well when introducing the (complex) Fourier series to students. The target audience will take away that there are nice images one can draw with the Fourier series and epicycles but as pointed out earlier this has already been shown in many other videos.

Neat work on how to make a design machine in minecraft as well as a timeline of the use of epicycles, thanks! From a design perspective, I appreciate how you used a set of platforms to describe Fourier analysis using Minecraft (and use of Comic Sans font juxtaposed with defaul Manim font). I liked the use of baroque music along the way, and Beethoven’s Sonata no. 5 as an initial start really captures the attention of your audience. The visual of the epicycles that accompanied the attention drawing music was a bit dizzying for me, so I didn’t watch for a bit but listened to music and voice overlay. Overall, I appreciate the work you spent on the specifics of DFT, as well as the work needed to move code into the different platforms and still have everything work well.

These were your individual scores per category that led to the Ranking score Motivation: 6.08 Clarity: 9 Novelty: 5 Memorability: 5

Really simple explaination of the fourier transform/discrete fourier transform It would be a great introduction to the fourier transform. However a bit too short, and nothing really unique.

While you showed the math, I didn’t come away with the feeling like I “got it” or really “saw the magic”.

Topic that students might really enjoy due to its visual nature. The animation may be excessive; something more schematic would be more useful. When explored in depth, this topic becomes challenging for high school and could be useful for university courses.

This is a really fun way to teach Fourier transforms! I think it would be more helpful for students to understand how the formula breaks down a function into its frequency components. An additional visualization could be very helpful to illustrate that.

I can see the appeal to reach a different audience, but this topic has been done time-and-again.

I was following in the beginning, and then the difficulty spiked because some of the steps were too quick or I had questions.

Sometimes it felt as if I had seen this video before, but it is very well structured, and the style with which it is made is quite innovative.

This is a good introduction to Fourier series. The drawing machine motivates the subject, and the epicycles provide historical context. You say that each line is moving in a circle, but it might help to show two lines rotating independently and then move one to the end of the other. It might also help to show how the rotation around a circle unwraps to a periodic function before breaking it into sine waves.

Love it. Of all the platforms that you could consider drawing circles in, Minecraft is the, well, least circular. And yet this works. Impressive.

I don’t know whether it’s a good or bad thing that you’ve used Minecraft to explain Fourier transforms, but I like Minecraft and it’s relatively unique, so it’s good enough for me. Naturally, Fourier transforms are a highly covered topic in maths, and I think you have done quite a good job explaining them. There’s always room for improvement, as I would’ve appreciated going a bit slower on parts of the working to see what’s going on properly, and the integration as well I found a little fast, but I may just be a little slow, so take that how you will. Overall, I’m impressed by the choreography and quality, and applaud your work. Well done!

STELLA OCTANGULA

Anyway, there was quite a bit of jargon in the second part but I enjoyed this and its application. I liked the compilation of Minecraft drawings at the end.