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Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two quantities are considered to be in the golden ratio if (a+ b)/a = a/b which is represented by the Greek letter phi. Each rectangle shown is subdivided into smaller golden rectangles. The golden spiral is a special type of logarithmic spiral. Each part is similar to smaller and larger parts.

Golden Rectangles

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two…

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two quantities are considered to be in the golden ratio if (a+ b)/a = a/b which is represented by the Greek letter phi. Each rectangle shown is subdivided into smaller golden rectangles. The golden spiral is a special type of logarithmic spiral. Each part is similar to smaller and larger parts.

Golden Rectangles

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two…

"If B and C are points in the spiral and the ratio of AC to AB be given, the intermediate point D may be obtained by describing a semicircle on BC as a diameter and erecting a perpendicular at A." —Anthony, 1904

Drawing Equiangular or Logarithmic Spiral

"If B and C are points in the spiral and the ratio of AC to AB be given, the intermediate point D may…

A graph showing a logarithmic or equiangular spiral. The spiral is created in polar coordinates (r,Θ) based on the natural log function.

Equiangular or Logarithmic Spiral

A graph showing a logarithmic or equiangular spiral. The spiral is created in polar coordinates (r,Θ)…

Illustration showing a logarithmic spiral.

Logarithmic Spiral

Illustration showing a logarithmic spiral.

Illustration showing a logarithmic spiral/curve.

Logarithmic Spiral

Illustration showing a logarithmic spiral/curve.