The Beauty of Fractal Geometry (#SoME2)

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