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Fractals

Fractals lets start with teory :)

What is fractal? Well, it's a geometric shape which sometimes is hard to draw but looks very nice. There are some fractals which are easy to draw for example Koch snowflake or Sierpinski triangle:

Geometric fractals: Koch Snowflake and Sierpinski Triangle.

Drawing Koch Snowflake:

  1. Draw a equilateral triangle (every side is equal)
  2. On every side draw smaller triangle
  3. Go back to step 2 :)

Drawing Sierpinski Snowflake:

  1. Draw a equilateral triangle
  2. In the middle of every side of that triangle mark a point
  3. Connect points with lines, now we have smaller triangle in bigger one. Now it gets a little harder.
  4. Do steps 2 and 3 for triangles that share corners with the bigger one
  5. If you want more triangles then draw them like in the above image or like in the picture below (in every black triangle):

Black geometric triangle design with smaller triangles inside.

It was simple but not very interesting. What will happen if we use some computer programs and apply a little maths and knowledge about fractals in it?

A little fun with Apophysis & Photoshop:

Abstract blue fractal design.

Mandelbrot set and Terragen:

Aerial view of a lush green island surrounded by blue water.

How to make images like those? I will write it in next articles :)

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