Figure 8
(a) Principle of exploiting the recursive (or fractal) symmetry properties of equilateral triangles to explain the coverage of arbitrary cross section shapes. Triangles represent the maximum expansive morphing for the respective nominal run index i. (b) Fitting the corresponding hexagon into these triangles shows the morphing range and size overlap, whereby the corresponding i values of cross sections shown differ by 2 or 3, depending on cross section type; see subsequent Figures in this section. Other cross sections between those shown – i.e. for all i values – have been omitted for clarity. |