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
C tier
Sierpinski carpet - 1.8928
B Tier
Weierstrass function - 1.5000
Real numbers whose base 10 digits are even - 0.69897
A Tier
Fractal Pyramid - 2.3219
Lorenz Attractor - 2.06 ±0.01
Boundary of the Mandelbrot set - 2
S Tier
Mandelbulb - 3
Jerusalem Cube - 2.529