Initial subdivision tests are based on two-dimensional processes. Several types of subdivision masks are tested, some of which are based on the work of William Floyd. These masks divide each quad into three, four, or six further quads. These quads are note necessarily contiguous.

In each of the cases, the number of parameters is limited to between three and six division weights that determine the placement of the quads' vertices. The value of these weights is held constant throughout the multiple subdivision iterations. There is no use of conditional or boolean logic, nor were random numbers used. The processes thus remain highly deterministic.

The figures on the right show a linear interpolation between two sets of weights. Effectively the final iteration of a form is drawn hundreds of times using transparent strokes as the weights shift from one value to another. It is astounding to see that these extremely simple processes can produce such a large variety of forms.

Launch the complete 2005 presentation:

Subdivided Tiles (Flash, 8Mb)