Silver Ratio Calculator
Calculate the length of a side with the Silver Ratio based on one side.
The “Silver Ratio”: A Form of Beauty That Captivates the Japanese Heart
Compared to the Western Golden Ratio, the Silver Ratio (1 : √2)—also known as the Yamato Ratio—is used in Japanese architecture such as the Five-Story Pagoda at Hōryū-ji Temple, as well as in tatami mats, ikebana, portraits of beautiful women, and paper sizes such as A3 and A4.
A rectangle composed of the Silver Ratio has the characteristic that, when the long side is divided into 2 equal parts, the resulting rectangles are similar to the original Silver Ratio rectangle.
Compared to the Western Golden Ratio, the Silver Ratio (1 : √2)—also known as the Yamato Ratio—is used in Japanese architecture such as the Five-Story Pagoda at Hōryū-ji Temple, as well as in tatami mats, ikebana, portraits of beautiful women, and paper sizes such as A3 and A4.
A rectangle composed of the Silver Ratio has the characteristic that, when the long side is divided into 2 equal parts, the resulting rectangles are similar to the original Silver Ratio rectangle.
| \(\normalsize Silver \ Ratio\\ (1)\ a\ :\ b=1\ :\ \sqrt{2}=1.4142\cdots \) |
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