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词汇 Sierpinski gasket
分类 英语词汇 英语翻译词典
释义

Sierpinski gasket

中文百科

谢尔宾斯基三角形 Sierpinski triangle

(重定向自Sierpinski gasket)
三维版本
谢尔宾斯基三角形,它的豪斯多夫维是log(3)/log(2) ≈ 1.585。

谢尔宾斯基三角形英语:Sierpinski triangle)是一种分形,由波兰数学家谢尔宾斯基在1915年提出。它是自相似集的例子。

它的豪斯多夫维是\frac{\log 3}{\log 2} \approx 1.585

英语百科

Sierpinski triangle 谢尔宾斯基三角形

(重定向自Sierpinski gasket)
Sierpinski triangle
Generated using a random algorithm
Sierpinski triangle in logic: The first 16 conjunctions of lexicographically ordered argumentsThe columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51... (sequence A001317 in OEIS)
Animated creation of a Sierpinski triangle using the chaos game

The Sierpinski triangle (also with the original orthography Sierpiński), also called the Sierpinski gasket or the Sierpinski Sieve, is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets, i.e., it is a mathematically generated pattern that can be reproducible at any magnification or reduction. It is named after the Polish mathematician Wacław Sierpiński but appeared as a decorative pattern many centuries prior to the work of Sierpiński.

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