寻找隐秘的维度

以分形理论来说，fractal could be found in everywhere

那么时候地球所在的太阳系甚至银河系也是茫茫宇宙的某个分形中的一只branch？

神奇

这世界，太多的奥秘，需要去探索
数学，本身就代表着规则
而分形，则给看似无规则的自然世界一个合理的解释
这是西方人的强项

看完后，这电影给我的感受就是四个字：以小见大。想到生活的一个案例，周末去教小朋友画画，在课间的10分钟，一个小孩冲去厨房，吃了一对鸡翅、半碗饭、一个荷包蛋、一根香肠、还有一瓶酸奶。另外一个小孩躺在沙发上听当季连续剧的主题曲。短短十分钟不算长也不算短，确实是反映了两个小朋友个性上的差别，而这种差别也确实能从他们的体形上很好地反映出来......

Loren Carpenter (visualize)-> what the planes might look like in flight.
Fractals - Form, Chance, and Dimension by Benoit Mandelbrot

It's one of the keys to fractal geometry call iteration in mathematicians.

First Mountain and then "Star Trek II" the Wrath of khan.

Self-similarity always zoom in and out the object look the same.

People like the great 19th century Japanese artist Katsushika Hokusai

the mystery of the monsters, a story really begins in later 19 century, Georg Cantor (German)
Created first monsters in 1883, call " Cantor Set."

Another by the Swedish Helge Von Koch, one of the classical Euclidean geometric figures.
in the 1940s, British Scientist Lewis Richardson,
Koch Curve he wrote a very famous article i Science Magazine called " How Long is the Coastline of British."

Dimension
French Gaston Julia

Mandelbrot in IBM

one the combined all of the Julia sets.
f(Z)=Z2+C into a single image. The Mandelbrot Set

Late 1970s, Jhane Barnes
new book "the Fractal Geometry of Nature"
1990, a Boston radio astronomer Nathan Cohen
 have been discovered back in the 1930s.

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E=M 3/4

A General Model for the origin of allometric scaling laws in Biology

Go with basic and simple purpose, conducting similarity and virable options which is callled EVOLUTION.

I do like it, from the smoothly math to the real change of the world around us. Similarity is not only a Math but sharing the same vision on physics, from Newton, to Einstein, to the parallel universe.