Figure 5
Enumeration of the faces of the tetrahedra. (a) Developed representation of the fractal of Fig. 3 (in fact, to avoid overlapping of the faces, the scaling factor is not 1/2 as for the three-dimensional fractal but 1/4). This two-dimensional fractal is usually called a Sierpinsky fractal. The faces have been enumerated in such a way that the arrangement of the numbers in this figure respects a simple `harmonious' rule. (b) The corresponding numbers are reproduced in the three-dimensional fractal limited to n = 2. |