fractals

Ranking the Fractals by my Inscrutable Metrics

and hotlinking to wikipedia because I don't want to download this many pictures of fractals

F Tier

The F is for fractal. Just kidding. There are no F-Tier fractals. All of them are at the very least mathematically interesting.

D Tier

The surface of Broccoli - ~2.7


broccoli

C tier

Sierpinski carpet - 1.8928


a square made of squares

B Tier

Weierstrass function - 1.5000


the calculus formula for the Weierstrass function
an extremely spiky line on a graph

Real numbers whose base 10 digits are even - 0.69897


a number line with last digit evens pointed out

A Tier

Fractal Pyramid - 2.3219


a pyramid with pyramid shaped holes in it like a pyramid sponge

Lorenz Attractor - 2.06 ±0.01


what looks like two dvds made of foggy lines crossing into each other

Boundary of the Mandelbrot set - 2


an oddly textured lineart of intersecting circles with jagged edges made of intersecting circles

S Tier

Mandelbulb - 3


Image of a strange and colorful bumpy sphere that crosses into itself like a sponge

Jerusalem Cube - 2.529


a cube formed of repeating plus-sign shaped holes