The sin of the Devil - a weird pop-culture curiosity in Math (SoME 4)
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a bit of an odd intro, i wouldve started more with the sin(666) straight away instead of calling it a a pop culture phenomena or whatever (also the ending was very creepy) interesting conclusion, your handwriting is nice and i liked the occasional bird sounds in the background
somewhat amusing perhaps for some people, but I would not consider this as a pedagogical video
Nice entry and a cool observation!
One note of feedback I have is that a couple points introduced don’t contribute to the final observation. Namely, you introduce a way to approximate sqrt, but then don’t use that approximation. Then you give a table of values for sin, but then don’t use any of them. This may confuse the viewer a bit, who may be left wondering what the purpose of those observations are. I would suggest making clear that those are interesting asides when stating them.
The explanation on where the golden ratio comes from could use some more steps if the author is assuming that the view hasn’t derived it before. The fact that the board has everything already written out makes it a bit harder to follow vs having equations appear as they are needed.
Also the fact that a white board is used for plotting inherently has some error associated with it. I think using an online plotter (even something like desmos) would help with the explanations.
Finally, the ending of the video is more or less noticing a fact, but does not partake in any analysis on why the fact is true. An example, I can say that I found out that e = summation of 1/n!, for n = 0:inf, but unless I explain why that is true, it’s more of an observation than interesting proof (and could even be a coincidence).
I learned the sin(666 deg)=-phi/2. Explaining the golden ratio was good because it didn’t take much time from viewers who knew about it and still provided an explanation for those who don’t. The explanation of the square root approximation wasn’t used in the final result. It takes up a big chunk of the video and viewers who know it will likely click off at this point. In the end you should provide more of an explanation for why this is the case. Just plugging it into wolfram alpha gives a lot less understanding of the real topic at hand. Perhaps you could provide more of an explanation for why this is the case with the unit circle or something else of your choice.