Other examples of Sierpinski's triangle

What is a fractal ? A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. We can find this geometric shape in the nature as in cauliflower, in the Romanesco cabbage, in the bird feather or in the distribution of the streams. This pattern exists in the art too, as in the sagrada familia’s pillars and ceiling or in the Julia set. And in mathematics, the fractal patterns are in the Sierpinski’s triangle.

At the beginning, the Sierpinski’s triangle is made with equilateral triangle but some people have derived it with squares, Sierpinski’s carpet,

with right angle triangles,

or with hearts.

Some people have made this triangle in three dimensions.

Sierpinski’s tetrahedron

The Sierpinski’s triangle is used in art too.

Anne Burns has created the « Sierpinski’s triangle eroding »