| One approach is to look at the limiting shape and observe the gaskets. The limiting shape is
on the left, the faces (except the bottom, which is a filled-in square) 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) + (1/2, 1/2, 0) |
T5(x, y, z) = (x/2, y/2, z/2) + (0, 0, 1/2) |
| Then note any three of these generate a gasket; four of the combinations give the four faces on
the right above. |
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