ITERATIVE DESIGN (II)_##3rd round##____ STAGE 2 (SOLVE)


I have discarded to using L-systems for several reasons which I have already described in the previous post. To summarise, I had decided to start making an image based on L-systems because, as I said at the beginning of the project, I would start making something simple using the concept of Generative Art, and develop the piece from there on without a clear aim. After the first iteration I decided to  experiment with the quick changeable feelings that a kinetic image can create in a viewer. However, while learning L-systems, I had come across the concept of fractals and I feel a deep curiosity towards them. This is why I have decided to explore these further.

Fractals are shapes which are self-similar at different scales. Therefore, they repeat themselves over and over again infinitely. (Shiffman, 2013)

The word fractal was coined in 1975 by the mathematician Benoit Mandelbrot. He says that a fractal is: “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole.” (Mandelbrot, 1982)

Fractals can be found in nature and they could be reproduced infinitely. Most articles and books about fractals talk about the property of self-similarity, but not about the one of self-affinity, which means that fractals are self-similar to themselves, and also similar to something greater than them. Finding, thus, the same patterns over and over again zooming in and out.   (Ramin, 2006)


fractal_nature phi5 phi2 phi1



(Constantine, 2006)

Fractals, self-similarity and self-affinity are all related with the number Phi:  1.6180339887. This number is found in nature at all scales. From the leaves of a tree to a universe black hole.  It has been used by many artists, composers, architects and others, to make their pieces. (Chown, 2003)


“La plaza de toros de Benicarló”, by Jordi Benito, Barcelona 

Here there are a couple of examples of fractals which struck me quite a lot:

(Repasky, 2013)

(Fractal, 2010)

Researching a bit more, I have discovered that who drew this last fractal was Escher:


Maurits Cornelis Escher (1898-1972), is a wide-world known artist born in Netherlands. Much of his art work is done with fractals and “impossible” mathematic laws. An impressive fact about his artwork is that he did not have mathematical knowledge,  but a strong intuition of it. (Escher Foundation,. 2015)

1007.escher2 bond dragon escher10k hds-Tinguely-Niki-1 print-gallery

“To have peace with this peculiar life; to accept what we do not understand; to wait calmly for what awaits us, you have to be wiser than I am” – M.C. Escher

“The universe is mathematical chaos. It is both perfectly ordered and imperfectly chaotic, all at once.” (Troll2rocks, 2013)

Therefore, I have decided to make a piece using fractals.


Chown, M., 2003. The golden rule [on line] The Guardian. Available on:

Constantine, D., 2006. [online] New York Times. Available on:

Fractal., 2010. Fractal Zoom (Last Lights On) Mandelbrot (HD) e228 (2^760) [online] Youtube. Available on:

Repasky, D., 2013. 10 Hours of Infinite Fractal and Falling Shepard’s Tone. [online] Youtube. Available on:

Mandelbrot, B., 1982. The Fractal Geometry of Nature. USA: H.B. Fenn and Company

M.C Escher Foundation,. 2015. M.C Escher. [online] M.C Escher Foundation. Available on:

Moran, G., 2013. Un escultor en el ateneo Barcelonés. [online]. Blogspot. Available on:

Ramin., 2006. Fractl and nature. [online] Blogspot. Available on:

Shiffman, D., 2013. The Nature of Code. [online] Available on:

 Troll2Rocks., 2013 The similarity of chaos in a universe that might not exist. [online]. Disclose. Available on:



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