Summer of Math Exposition

Its really good for most part.

I think its pretty good - could have been a little longer especially on that last point which I found the most interesting. Perhaps a little louder.

This is good because it’s clear, concise and the animations are nice. I wish you would explain more. Are there measures of irrationality based on the size of denominator needed to express the number up to a certain accuracy? This is what the final animation seems to suggest. You seem to suggest this is related to the continued fractions, but don’t say exactly how.

It sounds like AI. I’m sorry if I’m mistaken.

Clear presentation. However, relatively well-known. Short. Very few bits of information.

Interesting topic, but it was short and too “subjective”. I would like it more if it was a part of a more complete video

I like the idea of this video. The concept of a most irrational number is interesting.

A few notes:

• Overall, I think the presentation could be a bit better. The video is just too fast. I think taking more time to explain how to build continued fractions would lead to a better understanding.

• I also think that building up to the idea of plants using the golden ratio is a better idea rather than the sudden jump in topic.

• Finally, I think explaining why the infinite sequence of 1s in a continued fraction leads to the golden ratio would be interesting. Right now, you take it as a fact without going through an intuitive explanation as to why it leads to the golden ratio.

Solid.

I liked how you explained the connection to the Fibonacci sequence through discovering it, which was pretty clear. It would have been really nice if you explained the connection between the continued fraction and the golden ratio.