Explore: Sierpinski Triangle

The Sierpiński triangle, also called the Sierpiński gasket or Sierpiński sieve, is a fractal with the overall shape of an equilateral triangle, subdivided

an equilateral triangle into four equilateral triangles, removing the middle triangle, and recursing leads to the Sierpiński triangle. In three dimensions

(the Sierpiński triangle, the Sierpiński carpet, and the Sierpiński curve), as are Sierpiński numbers and the associated Sierpiński problem. Sierpiński was

Sierpiński curves are a recursively defined sequence of continuous closed plane fractal curves discovered by Wacław Sierpiński, which in the limit n →

factor 1/2 will create a display of a "Sierpinski Tetrahedron", the three-dimensional analogue of the Sierpinski triangle. As the number of points is increased

triangles that are scaled by 1/2. The sixth iteration of the Sierpinski triangle. The Sierpinski triangle created by the chaos game. If a sierpinski 4-gon

single live cell, Rule 90 has a time-space diagram in the form of a Sierpiński triangle. The behavior of any other configuration can be explained as a superposition

create a Koch snowflake or a Sierpinski triangle, "both based on recursively drawing equilateral triangles and the Sierpinski carpet." The T-square fractal

= 2 n = 4 n = 6 It is also possible to approximate the Sierpinski triangle using a Sierpiński arrowhead curve L-system. variables : A B constants : +

coloring only the odd numbers in Pascal's triangle closely resembles the fractal known as the Sierpiński triangle. This resemblance becomes increasingly