Artists
Statement
I am a former math teacher with an interest in fractals. Especially a plain-filling fractal which touches itself at the edges, like the Terdragon and the 5-Dragon, creating enclosed triangles and squares. And I wondered: are there plain-filling fractals that create enclosed figures, other than triangles and squares? There are! I have found the Duck-curve, and numerous variants of this curve. And there are a series of Titanic-curves, also with variants. With those mathematical curves I have created artworks that fit beautifully together. Because symmetry is built into these fractals, the art I make with them is also full of symmetry. That makes it nice to look at for a lot of people without realizing the mathematics behind it.
Artworks
When I discovered the Duck-curve, the enclosed figures all turned out to be similar. With a little imagination, you could see a swimming duck in such a figure, hence the name Duck-curve. The Duck-curve is a plane-filling fractal.
I was fascinated by the way different sizes of Duck-figures exactly fit together. That inspired me to make tessellations with Duck-figures.
This work is one of the tessellations I made with four sizes of Duck-figures. It can be repeated up and down, and left and right.
In addition to the Duck-curve, I have discovered a number of Titanic-curves. These are also plane-filling fractals. One of the enclosed figures reminded me of a sinking ship with two funnels on it. That is where the name Titanic2 comes from.
Just like with the Duck-curve, there are several variations of the Titanic2-curve. I have used a simple variation here.
In this work, step 3 of the fractal is shown, where thirteen step 2 fractals can be recognised with coloured enclosed figures.