"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 3rd order Serpinski snowflakes.

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

hs0000.jpg (17821 bytes) hs0004.jpg (17784 bytes) hs0008.jpg (17949 bytes) hs0012.jpg (17820 bytes)
hs0001.jpg (17801 bytes) hs0005.jpg (17843 bytes) hs0009.jpg (18101 bytes) hs0013.jpg (17900 bytes)
hs0002.jpg (18017 bytes) hs0006.jpg (18036 bytes) hs0010.jpg (17854 bytes) hs0014.jpg (17725 bytes)
hs0003.jpg (17890 bytes) hs0007.jpg (17923 bytes) hs0011.jpg (17640 bytes) hs0015.jpg (17535 bytes)