page = arthur o'dwyer – stuff mostly about c++

url = https://quuxplusone.github.io/blog analysed @ 2021-07-27 16:16 UTC

math pretty-pictures
You’ve heard of the Mandelbrot set , right? Basically, for each point
c
on the complex plane, we iterate the function
z
=
2
+
and color the point
based on how many steps it takes until
|
≥
(which is known as “diverging” or “escaping”).
I recently learned of another visualization called the “ Buddhabrot ,” originally discovered by Melinda Green . In the Buddhabrot, you color each complex point
t
based on the number of times that
is visited by the escaping trajectories of all points
. As Wikipedia says, this produces a graph of “the probability distribution over the trajectories of points that escape.”