Block Fractals

Exercises - Four Block Configuration Perimeter

One approach is to look at the limiting shape and observe the gaskets. The limiting shape is on the left, the faces on the right.

Another appraoch is to find the IFS rules that generate the limiting shape. They are

T1(x, y, z) = (x/2, y/2, z/2)

T2(x, y, z) = (x/2, y/2, z/2) + (1/2, 0, 0)

T3(x, y, z) = (x/2, y/2, z/2) + (0, 1/2, 0)

T4(x, y, z) = (x/2, y/2, z/2) + (0, 0, 1/2)

Then note any three of these generate a gasket, the four faces on the right above.

Return to four block construction perimeter.