 A supersilver rectangle contains two scaled copies of itself, ς = ((ς − 1)2 + 2(ς − 1) + 1) / ς | |
| Rationality | irrational algebraic |
|---|---|
| Symbol | ς |
| Representations | |
| Decimal | 2.2055694304005903117020286... |
| Algebraic form | real root of x3 = 2x2 + 1 |
| Continued fraction (linear) | [2;4,1,6,2,1,1,1,1,1,1,2,2,1,2,1,...] not periodic infinite |
In mathematics, the supersilver ratio is a geometrical proportion close to 75/34. Its true value is the real solution of the equation x3 = 2x2 + 1.
The name supersilver ratio results from analogy with the silver ratio, the positive solution of the equation x2 = 2x + 1, and the supergolden ratio.