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Golden Rectangle

Given a Rectangle having sides in the ratio $1:\phi$, the Golden Ratio $\phi$ is defined such that partitioning the original Rectangle into a Square and new Rectangle results in a new Rectangle having sides with a ratio $1:\phi$. 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


Pappas, T. ``The Golden Rectangle.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, pp. 102-106, 1989.

© 1996-9 Eric W. Weisstein