Sierpinski Triangle
Version 1.0.0 · Updated 2026-07-28
CORE DEFINITION
The Sierpinski triangle is a fractal, named after the Polish mathematician Wacław Sierpiński in the early 20th century, but such patterns were widely present in Cosmati stone decorations in the 13th century. It is an example of a self-similar set.
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The Sierpinski triangle is a fractal, named after the Polish mathematician Wacław Sierpiński in the early 20th century, but such patterns were widely present in Cosmati stone decorations in the 13th century. It is an example of a self-similar set.
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Repeatedly remove the central inverted small triangle from a triangle to obtain a self-similar fractal; its area tends to zero while its perimeter tends to infinity, exemplifying 'infinite boundary within finite space'.
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Source support: Explicit
- zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E8%AC%9D%E7%88%BE%E8%B3%93%E6%96%AF%E5%9F%BA%E4%B8%89%E8%A7%92%E5%BD%A2verified
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