The Golden Spiral

 

by Nikhat Parveen, UGA

 

 

 When a Golden Rectangle is progressively subdivided into smaller and smaller Golden Rectangles the pattern below is obtained. From this, a spiral can be drawn which grows logarithmically, where the radius of the spiral, at any given point, is the length of the corresponding square to a Golden Rectangle. This is called the Golden Spiral.

 

                                                                                                               Fig.1.

 

The spiral converges at the intersection of the two blue lines (P), and the ratio of the lengths of these two lines BP: PD is Φ, the Golden Ratio.

 

Click here for the GSP file.

 

 

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