The Beauty of Fractal Geometry (

0:00 — Sierpiński carpet
0:18 — Pythagoras tree
0:37 — Pythagoras tree 2
0:50 — Unnamed fractal circles
1:12 — Dragon Curve
1:30 — Barnsley fern
1:44 — Question for you!
2:05 — Koch snowflake
2:26 — Sierpiński triangle
2:47 — Cantor set
3:03 — Hilbert curve
3:22 — Unnamed fractal squares
3:43 — Menger sponge
3:53 — Sierpiński triangle (in Stereo)
4:05 — Mandelbrot set
4:27 — Some other fractals

Apollonian gasket: https://en.wikipedia.org/wiki/Apollon...
Romanesco: https://en.wikipedia.org/wiki/Romanes...
Mandelbrot Set: https://mandel.gart.nz (colored)
Fractional Dimenson:    • Fractals are typically not self-similar  
Newton's fractal:    • Newton’s fractal (which Newton knew nothin...  

MORE BEAUTIFUL GEOMETRY
1) Geometric Interpretations:    • The Sum of the First Cubes, Squares and More  
2) Fagnano's Problem:    • Geometry in Animations. Fagnano's Problem  
3) Theorems of the 20th Century:    • Theorems of the 20th Century