The Golden Spiral


Figure 1: The Golden Spiral



Figure 2: The Golden Spiral and The Golden Rectangle


Figure 2: The Golden Spiral Properties


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 . The successive dividing a golden rectangle into squares lie on a logarithmic spiral. If the top left corner of the original square is positioned at (0,0), the center of the spiral occurs at the position


and the parameters of the spiral are given by







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