V2EX mandelbrot set

Mandelbrot Set

释义 Definition

曼德勃罗集:复平面上的一个著名分形集合。它由满足特定迭代规则而不会发散到无穷大的复数参数组成,因其边界呈现无限层次的自相似细节而闻名。(在数学与计算机图形中常用来展示“复杂性如何由简单规则产生”。)

发音 Pronunciation

/mndlbrt st/(英)
/mndlbrt st/(美)

例句 Examples

The Mandelbrot set looks like a strange, beautiful shape.
曼德勃罗集看起来像一个奇异而美丽的形状。

By zooming into the Mandelbrot set, you can see endlessly repeated patterns along its boundary.
通过放大观察曼德勃罗集,你能在它的边界看到无穷无尽的重复图案。

词源 Etymology

“Mandelbrot”来自数学家 Benoit B. Mandelbrot(伯努瓦曼德勃罗)的姓氏,他在20世纪推动了分形几何的发展;“set”在数学中指“集合”。因此该词直译为“曼德勃罗(提出/研究的)集合”。

相关词 Related Words

文学与著作中的用例 Literary Works

  • James Gleick《Chaos: Making a New Science》:介绍混沌理论与相关图像文化时常提及曼德勃罗集。
  • Heinz-Otto Peitgen & Peter H. Richter《The Beauty of Fractals》:以曼德勃罗集等经典图形展示分形的视觉与数学之美。
  • Michael F. Barnsley《Fractals Everywhere》:讨论分形理论与生成方法时涉及曼德勃罗集及其相关概念。
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