The area of each like triangle = ox area of the preceding triangle.

As can be seen in the larger diagram the triangles a and b have a clear relationship, based on the “Golden Mean”][1 : 1.6180etc.] as demon- strated in the pentagon [length of side to chord]. This ratio is also increas- ingly evident in the progress of the Fibonacci Series. The further along the series the closer adjacent numbers are to the “Golden Mean.” Here, the self-similar growth of the groups of triangles b and a also demonstrate the frequent appearance of this series as so many growth patterns in nature, science and the arts.