Given a Rectangle having sides in the ratio , the Golden Ratio is defined such that partitioning the original Rectangle into a Square and new Rectangle results in a new Rectangle having sides with a ratio . Such a Rectangle is called a golden rectangle, and successive points dividing a golden rectangle into Squares lie on a Logarithmic Spiral.
See also Golden Ratio, Logarithmic Spiral, Rectangle
References
Pappas, T. ``The Golden Rectangle.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, pp. 102-106, 1989.