Self-similarity

Self similarity around the Feigenbaum point in the Mandelbrot set

Cauliflower shows fractal structures and fibonacci-spirals.

Something is self-similar if it is similar (or very close) to a part of itself. For example, the Mandelbrot set is self-similar as it contains an infinite number of almost exact copies of itself.

Self-similarity Media

• 

  A Koch curve has an infinitely repeating self-similarity when it is magnified.

• 

  Standard (trivial) self-similarity.

• 

  A self-affine fractal with Hausdorff dimension=1.8272.

• 

  An image of the Barnsley fern which exhibits affine self-similarity

• 

  A triangle subdivided repeatedly using barycentric subdivision. The complement of the large circles becomes a Sierpinski carpet

• 

  Close-up of a Romanesco broccoli.