AllatRa by Anastasia Novykh 2 www.allatra.org

AllatRa by Anastasia Novykh
Fig. 65. The Sierpinski triangle fractal. The process of constructing a fractal inside the
triangle by constant repetition of division by four equal equilateral triangles.
Anastasia: Is this the triangle in which one can observe the process of repetition of selfsimilar
triangles in a closed system on a plane?
Rigden: That’s right, the so-called recursion, from the Latin word “recursio” meaning
“a return”.
Anastasia: Yes, I’ve read about it. I remember getting interested in your words about
the Koch snowflake as you were explaining this mathematical process from the
perspective of advanced physics. I then started searching for information about this
snowflake, and I simultaneously discovered other information, including about this selfsimilar
triangle.
Fig. 66. The Koch snowflake fractal.
Two examples of the process of transformation of a line into a snowflake by means of
multiple division of the line segment into three equal parts and replacement of the
middle part with two new segments of similar length.
It became a really interesting discovery for me when I’d compared all these natural
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