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The '''Sierpiński triangle''' (also known as '''Sierpiński gasket''') is a [[fractal]] [[geometry]] constructed from [[triangle]]s. It was first created by [[Wacław Sierpiński]] to triangulate the one-dimensional [[Cantor set]] into a two-dimensional fractal geometry. Sierpiński later generalized his technique to create fractal geometries from other [[polygon]]s, including the square (creating the [[Sierpiński carpet]]) and the circle (Sierpiński circle). [[Topology|Topologically]], the Sierpiński triangle is everywhere [[Dense_subset|dense]], so its closure is the full triangle.{{fact}}

The '''Sierpiński triangle''' (also known as '''Sierpiński gasket''') is a [[fractal]] [[geometry]] constructed from [[triangle]]s. It was first created by [[Wacław Sierpiński]] to triangulate the one-dimensional [[Cantor set]] into a two-dimensional fractal geometry. Sierpiński later generalized his technique to create fractal geometries from other [[polygon]]s, including the square (creating the [[Sierpiński carpet]]) and the circle (Sierpiński circle). [[Topology|Topologically]], the Sierpiński triangle is everywhere [[Dense_subset|dense]], so its closure is the full triangle.

[[Category:Geometry]]

[[Category:Geometry]]