The Golden Ratio (why it is so irrational) - Numberphile
3 人推荐 · 跨 4 个月 · 2018–2026
中文导读
Numberphile 的 Ben Sparks 借助植物种子排布、连分数与有理逼近，深入浅出地解释了为什么黄金分割率 phi 是“最不讲道理的无理数”，并剖析了植物利用它排列叶片与种子的数学原理。
为什么 HN 推它
HN 盛赞其极具启发性，彻底讲透了黄金分割比 phi 的数学本质，并拓展关联到哈希算法、螺旋结构及叶序学现象。
「Numberphile 这期关于黄金分割率的视频彻底重塑了我的思维认知，让我终于看懂了那些螺旋叠加构图的真正奥秘。」HN 网友原话：a mind-rewiring video by numberphile concerning the golden ratio [0] made sense of all the spiral overlay art
英文原摘要（HackerTube / Claude 整理）
Numberphile's Ben Sparks shows why the golden ratio is the most irrational number, using seeds, continued fractions and rational approximations. He also explains why plants use it for spacing leaves and seeds.
HN calls it illuminating for explaining why phi is the most irrational number, relevant to hashing, spirals and phyllotaxis.
HN 上的提及
but it's a cool video! :)
Phi is the most irrational of the irrational numbers
Numberphile video that touches some of the similar stuff at the end of this article
This link gets passed around a lot and it's very illuminating
a mind-rewiring video by numberphile concerning the golden ratio [0] made sense of all the spiral overlay art