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Sorry it took me so long to get back to you, I needed to find some time to go to the university library since all I had at home was the Internet and I wanted to answer your question as much as I was able by looking at the sources more fully. I am not an expert on fractals but I have enjoyed reading more about them. I discovered that fractals are being used for many things such as to describe the fibrin in blood clots, and someone is trying out fractal logic filters – lots going on in the fractal world.
Brian H. Kaye was my source for paper filters and fractals (Kaye, 190-192). He wrote a wonderful book full of humor describing fractals. He uses the Sierpinski fractal as an illustration for the long fibers in the paper filters thus creating migration fronts by the pigment in the ink on the filtration paper. I also took into consideration the movement of fluid itself, Zhao used the fractal theory for distribution of fluids by looking at the molecular level (Zhao, 2005) (I thought the Koch fractal worked well for this illustration for the distribution of fluids).
References
Kaye, Brian H. A Random Walk Through Fractal Dimensions. 2 ed. – Weinheim. Basel (Switzerland), Cambridge, New York, NY: VCH, 1994.
Zhao, Hua. “Radical Distribution Functions in Liquids and Fractal Aggregates.” Chemical Engineering Communications. 192 (2), 2005, 145-154.
Fern fractals and filter fractals.
I did try alcohol which produced the same results. I was hoping to see the separation of the ink, which is beautiful. I did not expect to see a fractal coming out of the HPLC. Since 3 obvious ways of manually producing fractal art had been done I decided to approach the task of producing manual fractal art in a different light. I decided to use the materials containing fractals in a creative way. Using the beads from a column to make art would be something different. One can not see the fractals contained in the filter paper or the movement of the water or on the beads, but they can still be used to create.
Well said!