3 ms·
I'm not sure if it was the visual aids (which were outstanding), or simply how the subject was approached and written about, but that article finally gave me an
by pdkl95 12y ago
I'm not sure if it was the visual aids (which were outstanding), or simply how the subject was approached and written about, but that article finally gave me an intuitive understanding of "complex numbers" that i've never quite gotten before. Sure, they were nice for some types of coordinate/vector math, but why they were nice always seemed to be something I missed. The warping of the coordinate system that you get when squaring is probably the key. It totally explained Julia sets for me.
Now if only I could get the same understanding for the incredible complexity of the Mandelbrot. After seeing[1] what happens down around 1/ 2^1116 (~3E353) - and remember that the set is supposed to be simply-connected - I'm not sure how to begin any kind of real understanding. There is simply too much detail there...
[1] http://www.youtube.com/watch?v=PbwaFQ2r2c4 http://www.youtube.com/watch?v=PbwaFQ2r2c4 (the entire video is great, but the true insanity starts about halfway through)
- alphonse23 12y agoI felt the same way. A lot of appreciation goes to the writer of that piece!