Sierpinski carpet (nonfiction): Difference between revisions
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The '''Sierpinski carpet''' is a plane fractal first described by Wacław Sierpiński in 1916. The carpet is one generalization of the Cantor set to two dimensions; another is the Cantor dust. | The '''Sierpinski carpet''' is a plane [[Fractal (nonfiction)|fractal]] first described by [[Wacław Sierpiński (nonfiction)|Wacław Sierpiński]] in 1916. The carpet is one generalization of the [[Cantor set (nonfiction)|Cantor set]] to two dimensions; another is the [[Cantor dust (nonfiction)|Cantor dust]]. | ||
The technique of subdividing a shape into smaller copies of itself, removing one or more copies, and continuing recursively can be extended to other shapes. For instance, subdividing an equilateral triangle into four equilateral triangles, removing the middle triangle, and recursing leads to the Sierpinski triangle. In three dimensions, a similar construction based on cubes is known as the Menger sponge. | The technique of subdividing a shape into smaller copies of itself, removing one or more copies, and continuing recursively can be extended to other shapes. For instance, subdividing an equilateral triangle into four equilateral triangles, removing the middle triangle, and recursing leads to the [[Sierpinski triangle (nonfiction)|Sierpinski triangle]]. In three dimensions, a similar construction based on cubes is known as the [[Menger sponge (nonfiction)|Menger sponge]]. | ||
== In the News == | |||
<gallery> | |||
</gallery> | |||
== Fiction cross-reference == | |||
* [[Crimes against mathematical constants]] | |||
* [[Gnomon algorithm]] | |||
* [[Gnomon Chronicles]] | |||
* [[Mathematics]] | |||
== Nonfiction cross-reference == | |||
* [[Cantor set (nonfiction)]] | |||
* [[Fractal (nonfiction)]] | |||
* [[Mathematics (nonfiction)]] | |||
* [[Menger sponge (nonfiction)]] | |||
* [[Set theory (nonfiction)]] | |||
* [[Wacław Sierpiński (nonfiction)]] | |||
* [[Sierpinski triangle (nonfiction)]] | |||
== External links == | |||
* [https://en.wikipedia.org/wiki/Sierpinski_carpet Sierpinski carpet] @ Wikipedia | |||
[[Category:Nonfiction (nonfiction)]] | |||
[[Category:Mathematics (nonfiction)]] | |||
[[Category:Set theory (nonfiction)]] | |||
Latest revision as of 05:49, 5 February 2020
The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916. The carpet is one generalization of the Cantor set to two dimensions; another is the Cantor dust.
The technique of subdividing a shape into smaller copies of itself, removing one or more copies, and continuing recursively can be extended to other shapes. For instance, subdividing an equilateral triangle into four equilateral triangles, removing the middle triangle, and recursing leads to the Sierpinski triangle. In three dimensions, a similar construction based on cubes is known as the Menger sponge.
In the News
Fiction cross-reference
Nonfiction cross-reference
- Cantor set (nonfiction)
- Fractal (nonfiction)
- Mathematics (nonfiction)
- Menger sponge (nonfiction)
- Set theory (nonfiction)
- Wacław Sierpiński (nonfiction)
- Sierpinski triangle (nonfiction)
External links
- Sierpinski carpet @ Wikipedia