Name: Benoit Mandelbrot： 碎形與粗糙度的藝術
Uploaded: 2010-07-06T09:20:00Z
Duration: 16 min 52 s
Description: 在 TED2010 大會上，數學界的傳奇人物 Benoit Mandelbrot 展開他在 1984 年首次於 TED 討論的主題：極度複雜的粗糙程度、以及碎型理論可以在看似複雜的圖形中找出秩序的方法。

在 TED2010 大會上，數學界的傳奇人物 Benoit Mandelbrot 展開他在 1984 年首次於 TED 討論的主題：極度複雜的粗糙程度、以及碎型理論可以在看似複雜的圖形中找出秩序的方法。

Benoit Mandelbrot： 碎形與粗糙度的藝術

What appears messy and irregular in nature, like coastlines or cauliflowers, actually follows deep mathematical order. Fractal geometry exposes self-similar patterns that repeat at every scale, allowing roughness to be measured with a single number. From the branching of lungs to financial market swings, this approach uncovers structure where only confusion seemed to exist. Even the most complex shapes can spring from simple, endlessly repeated rules, leading to forms of surprising beauty and harmony.

Benoit Mandelbrot： 碎形與粗糙度的藝術

Benoit Mandelbrot：碎形與粗糙度的藝術