This is a developing fractal – a sculpture made up of several orders of a fractal curve, stacked atop each other and linked by material adapting between the shapes. I used the Sierpinski Arrowhead curve, which in its limit is the ever-recognisable Sierpinski triangle. What’s so interesting about these developing fractals is they physically demonstrate the repeating structure of the fractal, and how the rules for generating one order from the previous can create such intricate detail. My inspiration for this was Henry Segerman, who has designed a variety of these, including one of the Hilbert curve.
Max is a Mathematics Undergraduate in the Mathematical Institute, University of Oxford.