[unholiness]

> There's probably a few things incorrect with what I said. So, take it with the appropriate amount of salt for a high school sophomore's explanation of anything math related.

A high school sophomore! I'm thoroughly impressed, not just by the clarity of this explanation, but by the tone, showing appreciation for where and how the elegance pops up, and empathy for a reader who's never heard of these concepts. Throw in the minimal web design I was sure I was reading some graybeard.

Excellent writing, you should be proud of this.

[OJFord]

> high school sophomore

For the rest of us (and because I've previously heard that in films etc. about university students and never really known exactly what it meant except that it's one of the years) that's the second year of high school, which in a middle-school-having system (as is the norm in the US) is year 10, which in the US is two years (not three as it would be in the UK for example) of high school away from university.

Just a bit of a tangent to understand. Impressive indeed.

[63]

For reference, the expected age would be ~15 years old