"Hilbert Serpinski" is one of a series of images that explore my fascination with repetition as a form of change.

The red line is a 4th order, Hilbert’s space-filling curve, the construction of which (as a single Satori Spline object) is described in a tutorial "Toward a Fractal Spline". The other shapes are 3^rd order Serpinski snowflakes.

Download the tutorial, which contains the instructionsl, 4 sample bitmaps and 2 free canvas files, from here