Silver ratio design
While the golden ration is 1:1.6, the silver ratio is 1:1.4. In Japan, the silver ratio has been considered to be the most beautiful proportion down the ages and called “Yamato-hi,” meaning “Japanese Ratio.” It has been used in classical architectures and arts such as the faces of Budda statues and ikebana (Japanese style flower arrangement). The silver ratio is the analogous continued fraction with all coefficients equal to 2. You might think for a moment that the silver ratio should be just twice the golden ratio, but the coefficients contribute to the series in a non-linear way. The silver ratio actually equals 1 + √2. The golden ratio has a simple geometric interpretation. I don’t know of a geometric interpretation of the silver ratio. Cut a line segment into unequal pieces of lengths a and b such that the ratio a to b is the same as the ratio (a + b) to a --- that is, so that big over medium equals medium over small.