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词汇 Sierpinski triangle
释义

Definition of Sierpinski triangle in English:

Sierpinski triangle

(also Sierpinski gasket)
nounʃɪəˈpɪnskiSHirˌpinskē ˈtrīaNGɡəl
Mathematics
  • A fractal based on a triangle with four equal triangles inscribed in it. The central triangle is removed and each of the other three treated as the original was, and so on, creating an infinite regression in a finite space.

    〔数〕谢尔平斯基三角形,谢尔平斯基镂垫

    Example sentencesExamples
    • There is an interesting relation between the puzzle graph of the Towers of Hanoi puzzle and Pascal's triangle, and hence the Sierpinski gasket too.
    • This description conjures up images of cycloids, Sierpinski gaskets, ‘cowboy hat’ surfaces, and multi-colored graphs.
    • A well-known algorithm for drawing a Sierpinski triangle starts with a sequence of 0s and 1s.

Origin

1970s: named after Wacław Sierpiński (1882–1969), Polish mathematician.

Definition of Sierpinski triangle in US English:

Sierpinski triangle

(also Sierpinski gasket)
nounSHirˌpinskē ˈtrīaNGɡəl
Mathematics
  • A fractal based on a triangle with four equal triangles inscribed in it. The central triangle is removed and each of the other three treated as the original was, and so on, creating an infinite regression in a finite space.

    〔数〕谢尔平斯基三角形,谢尔平斯基镂垫

    Example sentencesExamples
    • A well-known algorithm for drawing a Sierpinski triangle starts with a sequence of 0s and 1s.
    • There is an interesting relation between the puzzle graph of the Towers of Hanoi puzzle and Pascal's triangle, and hence the Sierpinski gasket too.
    • This description conjures up images of cycloids, Sierpinski gaskets, ‘cowboy hat’ surfaces, and multi-colored graphs.

Origin

1970s: named after Wacław Sierpiński (1882–1969), Polish mathematician.

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