In mathematics, two quantities are in the silver ratio (also silver mean or silver constant) if the ratio of the sum of the smaller and twice the larger of those quantities, to the larger quantity, is the same as the ratio of the larger one to the smaller one (see below). This defines the silver ratio as an irrational mathematical constant, whose value of one plus the square root of 2 is approximately 2.4142135623. Its name is an allusion to the golden ratio. The silver ratio is the limiting ratio of consecutive Pell numbers.
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 on ikebana a Japanese style flower arrangement.
The Renaissance Academy is looking to continue exploring the silver ratio in different art forms.