自然的分形几何

Hacker News 上怎么说

• stevenrace · 2012 年

  或许用“耐人寻味”来形容更合适。我真诚建议大家挑几个下雨的周末，啃一啃芒德博（Mandelbrot）的《大自然的分形几何学》[1]和沃尔夫勒姆（Wolfram）的《一种新科学》[2]。两本书都相当晦涩难读，但我发现它们都为我观察宇宙的方式增添了全新深度的隐喻视角。人们很容易对斯蒂芬·沃尔夫勒姆不屑一顾……

  Perhaps 'intriguing' is the better term. I'd implore everyone to spend a few rainy weekends trudging through Mandelbrot's 'The Fractal Geometry of Nature'[1] and Wolfram's 'A New Kind of Science'[2]. Both are rather terse, but I found both added a whole new depth of analogy in the way I see the Universe(s). It's easy to be dismissive of Stephen Wolfram…

• spoork · 2023 年

  ……很容易就能找到它们，通常还附带书评方便你判断哪本更合适。至于论文和期刊，我觉得就难找得多了。举个例子，我最近读了芒德博的《大自然的分形几何学》，觉得非常过瘾。我敢肯定有许多团队在研究（生物）自然界中各种结构的数学特性（比如真菌生长的规律、骨骼结构的自我优化……

  …can easily find them, often along with reviews that help to decide which one is the right choice. For papers and journals I find this significantly harder. As an example, I recently read Mandelbrot's "Fractal Geometry of Nature" and really enjoyed it. I am sure there are many groups researching the mathematical properties of structures found in (living) nature (think patterns in fungi growth, selfoptimization of bone structure…

• algorias · 2012 年

  你可能会对本华·芒德博的《大自然的分形几何学》感兴趣。

  you might be interested in "the fractal geometry of nature" by benoit mandelbrot.

• swiley · 2019 年

  你应该去读读芒德博的书《大自然的分形几何学》。他在书里深入探讨了不少这类的想法。写这本书的初衷就是让非数学专业的人也能读懂并理解这些思想，这真的挺酷的。

  You should read Mandelbrot’s book “the fractal geometry of nature.” He talks quite a bit about ideas like this. It’s written with the intention that non mathematicians can read and understand the ideas too which is kind of neat.

• bionhoward · 2020 年

  因果论，Judea Pearl 著 建筑模式语言，Christopher Alexander 著 意义的地图，Jordan Peterson 著 论智力，Jeff Hawkins 著 大自然的分形几何学，Benoit Mandelbrot 著 ^^^ 给搞 AI 的人准备的认知架构速成课

  causality, by judea pearl a pattern language, by christopher alexander maps of meaning, by jordan peterson on intelligence, by jeff hawkins the fractal geometry of nature, by benoit mandelbrot ^^^ a crash course in cognitive architecture for AI folks

• mreid · 2025 年

  我也曾不得不央求父母给我买关于分形的书。我 15 岁时最珍贵的宝贝就是一本芒德博的《大自然的分形几何学》。里面的内容大多我都看不懂，但它有一些美轮美奂的彩色插页和非常有趣的内容。大约 35 年后的今天，它还放在我的家里。正是它启发了我去写蕨类植物、谢尔宾斯基……的 IFS 代码。

  I also had to convince my parents to buy me books about fractals. My prized possession as a 15 year old was a copy of Mandelbrot's "Fractal Geometry of Nature". A lot of it went over my head but it had some gorgeous colour plates and interesting sections. I still have it at home some 35 years later. That also inspired me to write IFS code for ferns, Sierpinski…

正在加载完整评论……