Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

Explaining some properties of the Mandelbrot set

Audience:

Tags: calculusfractalmandelbrot-setpolynomials

Some almost-formal proofs of how certain periodicity bulbs in the Mandelbrot set touch each other, with a connection to the Fibonacci numbers.


Analytics

4.11 Overall score*
62 Rank
6 Votes
3 Comments

Comments

2.1

Good proofs but I think it was laid out too much like a formal paper, without much motivation.

4.5

I was motivated to finish reading your work because of how you desired for your audience to see the Mandelbrot as something that’s not so mysterious. I think you’ve got great groundwork to get started in teaching the Mandelbrot set more. I learned from your article how applicable a Mandelbrot set is to patterns we recognize throughout K-12 education, like the Fibonacci sequence. So why do patterns often converge to cycles of Mandelbrot sets? I recognize it takes a while to produce LaTex-based documents, and even more that, arranging how to present work on a topic you’ve steeped in. That being said, I think the introduction was a little scattered, it got started with an equation right away, yet the last paragraph says it desires for it to be accessible to an audience who’d like to uncover common mysteries of the Mandelbrot set. There is also no conclusion. Overall, I hope you keep producing more work because you have spent significant time learning about chaos, and this set particularly. These are the scores I gave you per each category which resulted in your Ranking final score. Good luck!

Motivation: 9 Clarity: 3 Novelty: 3 Memorability: 3

5

Nice description of some of the properties of the Mandelbrot set.