Fractals are typically not self-similar
7 人推荐 · 跨 7 个月 · 2017–2024
中文导读
3Blue1Brown 创始人 Grant Sanderson 用标志性的直观几何动画讲解分形维数（fractal dimension），澄清了“分形等于自相似”的常见误区，揭示自相似只是分数维概念下的一个特例。
为什么 HN 推它
理解分形概念最好的可视化指引，不仅生动直观，还能帮你彻底纠正对复杂几何维度的直觉偏差。
「3b1b 的 Grant 亲自操刀，把分形维数讲得格外清楚透彻。」HN 网友原话：Here is are two very clear explanations of fractal dimension by the man himself, Grant from 3b1b.
英文原摘要（HackerTube / Claude 整理）
3Blue1Brown explains fractal dimension and shows why many fractals are not strictly self-similar. Self-similarity turns out to be a special case of the broader idea of fractional dimension.
It is the standard pointer for a clear, visual explanation of what fractals are, and for correcting the idea that fractal means self-similar.
HN 上的提及
the only ads I have clicked on in any recent memory are all, every single ad, of the ones that 3blue1brown places
Here is an excellent 20 min introduction to fractals
That's a 3Blue1Brown video explaining why "fractal" and "self-similar" are not the same thing.
3Blue1Brown has a great video on the dimensionality of fractals [0] that is useful here.